if three cards are drawn randomly for a standard card deck, what is the probability that all three are different suits

Answers

Answer 1

If three cards are drawn randomly for a standard card deck, then the probability that all three are different suits is 0.3976.

We know that the total number of cards in a standard deck is = 52 cards;

So, the probability of drawing 3 cards from a standard deck is =

⇒ ⁵²C₃ = 22100 ,

We know that each suit in a standard deck has 13 cards,

So, the probability of selecting 3 cards from a standard deck is :

⇒ 4(¹³C₁ × ¹³C₁ × ¹³C₁);

The probability that all three are different suits;

⇒ 4(¹³C₁ × ¹³C₁ × ¹³C₁)/22100,

⇒ 169/425,

⇒ 0.3976.

Therefore, the required probability is 0.3976.

Learn more about Probability here

https://brainly.com/question/30691192

#SPJ4


Related Questions

An airship traveled 150 km with the wind and then turns around and flies back, taking 6h and 15 min for the round trip. Find the speed of the wind if the speed of the airship in calm weather is 50 km/hour.

Answers

Let's call the speed of the wind "w". When the airship is flying with the wind, its effective speed is 50 + w km/hour. When the airship is flying against the wind, its effective speed is 50 - w km/hour.

Using the formula distance = rate x time, we can write two equations for the round trip:

150 = (50 + w)(t1)

150 = (50 - w)(t2)

where t1 is the time the airship took to fly with the wind and t2 is the time it took to fly against the wind.

We also know that the total round trip took 6 hours and 15 minutes, or 6.25 hours:

t1 + t2 = 6.25

Now we can solve for w. Let's rearrange the second equation to solve for t2:

t2 = 150 / (50 - w)

Substitute this expression for t2 into the third equation:

t1 + 150 / (50 - w) = 6.25

Solve for t1:

t1 = 6.25 - 150 / (50 - w)

Now substitute this expression for t1 into the first equation:

150 = (50 + w)(6.25 - 150 / (50 - w))

Simplify and solve for w:

w = 25 km/hour

Therefore, the speed of the wind is 25 km/hour.

The Smith family is planning to put an above a ground swimming pool in their back
yard. Their yard is a 25 ft by 60 ft and the pool will be a circle with a DIAMETER of
16 ft, as shown below. They will fill the rest of the yard with grass. Find out how many
square feet of their yard will be grass?
Enter your answer with two digits for the decimals
60 ft.
16 ft.
25 ft.

PLEASE HELP

Answers

Answer:

The first step is to calculate the area of the circle pool:

- The diameter of the pool is 16 ft, which means the radius is 8 ft (half of the diameter).

- The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

- Plugging in the values, we get A = π(8 ft)^2 = 64π sq ft.

The total area of the yard is 25 ft x 60 ft = 1500 sq ft. To find out how many square feet of the yard will be grass, we need to subtract the area of the pool from the total area of the yard:

- Grass area = Total area - Pool area = 1500 sq ft - 64π sq ft ≈ 1304.43 sq ft.

Therefore, about 1304.43 square feet of their yard will be grass, to two decimal places.

15 points to answer please help I don't get it....

Answers

Answer:

a) y = -2.812x + 97.554

b) the correlation coefficient is about -0.97, which is a strong linear fit.

Step-by-step explanation:

you need a graphing calculator for linear regression, but desmos works fine :)

plugging in all the values into a table and letting the calculator do the work :D (attatched image)

the equation: y = -2.812x + 97.554

next, (also in the screenshot) the r-value, or the correlation coefficient, is about -0.97, and we want this to be as close to 1 or -1 as possible to get a perfect linear regression.

this is pretty close to -1, so i'd say that the linear fit is strong :)

The person above gave the correct answer

medical care and compensation costs for workers injured on the job vary a lot and are strongly skewed as a whole. the national academy of social insurance reports that the mean worker's compensation claim cost in a year is $439 per insured worker, with standard deviation $20,000. the law of large numbers says that

Answers

The law of large numbers says that as a company insures more and more workers chosen at random, the average costs get closer to $439. So, the answer is option B.

As a company insures more and more workers chosen at random, the average cost gets closer to $439.

The law of large numbers states that as the sample size increases, the sample mean gets closer to the population mean. In this case, the population mean is the mean worker's compensation claim cost of $439 per insured worker.

As the company insures more and more workers chosen at random, the sample size increases, and the sample mean of the worker's compensation claim cost will converge to the population mean of $439.

The law of large numbers does not guarantee that an insurance company can get an average workers' compensation cost lower than the mean by insuring a large number of people. The option B is correct.

To know more about population mean:

https://brainly.com/question/30727743

#SPJ4

--The given question is incomplete, the complete question is given below

"Medical care and compensation costs for workers injured on the job vary a lot and are strongly skewed as a whole. The National Academy of Social Insurance reports that the mean worker's compensation claim cost in a year is = $439 per insured μworker, with standard deviation = $20,000. The law of large numbers says that σ(choose the correct option)

A) an insurance company can get an average workers’ compensation cost lower than the mean by insuring a large number of people.

B) as a company insures more and more workers chosen at random, the average costs gets closer to $439"--

A financial investment broker earns 4% on each customer dollar invested. If he broker invests $50,000, what is the commission on the investment? pls hurry it is my hW

Answers

A financial investment broker earns 4% on each customer dollar invested. If the broker invests $50,000, the commission on the investment is $2,000.

The commission earned by the broker on the investment will be equal to 4% of the total investment amount.

So, the commission earned by the broker on investing $50,000 will be:

Commission = 4% of $50,000

Commission = (4/100) x $50,000

Commission = 4 x  $500

Commission = $2,000

Therefore, the commission earned by the broker on investing $50,000 will be $2,000.

To  learn more about commission, refer:-

https://brainly.com/question/20987196

#SPJ4

A chess club with 80 members is electing a new president. Teresa received 60 votes. What percentage of the club members voted for Teresa?

Answers

Answer:

75%

Step-by-step explanation:

Assume Teresa can vote for herself. 60/80=3/4=75%

determine whether the following are price ceilings or price floors and whether they are binding/non-binding:
*equilibrium price of gas is $3/gallon
1. There are many teenagers who would like to work at gas stations, but they are not hired due to minimum-wage laws.
2. The government prohibits gas stations from selling gasoline for more than $2.70 per gallon.
3. The government has instituted a legal minimum price of $2.70 per gallon for gasoline.

Answers

1. This is an example of a minimum wage price floor.

2. This is an example of a price ceiling because it establishes a maximum price at which a gasoline station may sell gasoline.

3.This is an example of a price floor because it sets a minimum amount at which a gasoline station may sell gasoline.

Price Ceilings or Price Floors: A Determination
1. There are many teenagers who would like to work at gas stations, but they are not hired due to minimum-wage laws.
This is an example of a minimum wage price floor.

In a minimum wage, the government sets a minimum wage, and employers are unable to offer their employees less than that amount.

The minimum wage acts as a price floor because it establishes a minimum amount that an employer must pay.

2. The government prohibits gas stations from selling gasoline for more than $2.70 per gallon.
This is an example of a price ceiling because it establishes a maximum price at which a gasoline station may sell gasoline.

A price ceiling is a maximum amount that can be charged for a good or service.
3. The government has instituted a legal minimum price of $2.70 per gallon for gasoline.
This is an example of a price floor because it sets a minimum amount at which a gasoline station may sell gasoline.

A price floor establishes a minimum price that must be charged for a good or service in this scenario.

For similar question on price ceiling.

https://brainly.com/question/29751385

#SPJ11

Central Park is a rectangular park in New York City. Use the provided ruler to answer the following questions. a. Find the perimeter and the area of Central Park in the scale drawing. Round your measurements for the length and the width to the nearest half centimeter to calculate your answers. The perimeter in the scale drawing is centimeters. The area in the scale drawing is square centimeters. b. Find the actual perimeter and area of Central Park. The actual perimeter is meters. The actual area is square meters.

Answers

For the rectangle shaped drawing, the area of the scale drawing is 31.25  cm².

What exactly is a rectangle?

A rectangle is a four-sided flat form with four right angles on its four sides (90-degree angles). It is a quadrilateral having two pairs of equal-length parallel sides.  A rectangle's perimeter is the total of the lengths of all four sides, and its area is derived by multiplying the rectangle's length and breadth. A square is a specific instance of a rectangle with four equal-length sides.

Now,

To find the perimeter of the scale drawing, we add the lengths of all four sides. Rounded to the nearest half centimeter, the length is 12.5 cm and the width is 2.5 cm, so the perimeter is:

P = 2(12.5 cm) + 2(2.5 cm) = 25 cm + 5 cm = 30 cm

Therefore, the perimeter of the scale drawing is 30 centimeters.

To find the area of the scale drawing, we multiply the length by the width. Rounded to the nearest half centimeter, the length is 12.5 cm and the width is 2.5 cm, so the area is:

A = (12.5 cm) × (2.5 cm) = 31.25 cm²

Therefore, the area of the scale drawing is 31.25 square centimeters.

To know more about rectangles visit the link

brainly.com/question/29123947

#SPJ1

Correct Question :-

Central Park is a rectangular park in New York City. A map of Central Park in New York City. The measured length is 12.5 centimeters. The measured width is 2.5 centimeters. Find the perimeter and the area of the scale drawing of Central Park. Round your measurements for the length and the width to the nearest half centimeter to calculate your answers.

Audrey spent two weeks in Brazil. This is twice as many days as she spent in Bolivia. How days did Audrey spend in these countries

Answers

the total number of days spent in Bolivia by Audrey is 7days.

Audrey spent two weeks in Brazil

that mean

the total number of days spent in Brazil by Audrey = 2x7

= 14 days

This is twice as many days as she spent in Bolivia.

2m = 14

m = 14/2

m = 7

so, the total number of days spent in Bolivia by Audrey = 7days

The term "week" most commonly refers to any span of seven continuous days. The term "week" is also frequently used to describe the seven-day period that runs from Sunday through Saturday (though in some places this may be different, with the week considered to begin on Monday, for example)

To know more about spent, click the below link

https://brainly.com/question/941666

#SPJ4

Carissa conducts an experiment by rolling two number cubes,both numbered 1-6.She records the number of times she rolls the same number on both cubes.In 50 trails , she rolls the same number on both cubes 13 times,Based on results what is the probability of rolling the same number on both cubes expressed as percent?

Answers

There are 36 options, and 6 of them match.

What is Probability?

The idea of probability describes the possibility of an event happening.

We frequently have to make forecasts about the future in real life.

We may or may not be aware of the outcome of an event.

When this happens, we declare that there is a chance the event will take place.

In summary, probability has a wide range of fantastic applications in entertainment, business, and this recently expanding branch of artificial intelligence.

The probability formula can be used to determine the likelihood of an event by only dividing the favorable number of possibilities by the entire number of p-ossible outcomes.

According to our question-

Die 1  |  Die 2   | Same?

____________________

   1      |    1       |    YES

   1      |     2      |    N

   1      |     3      |    N

   1      |     4      |    N

   1      |     5      |    N

   1      |    6       |    N

   2      |    1       |    N

   2      |    2       |    YES

   2      |   3        |    N

Hence, There are 36 options, and 6 of them match.

learn more about probability click here:

brainly.com/question/13604758

#SPJ1

What is 12 7/8 - 56/17?

Answers

12 7/8 - 56/17 = 1303/136

Company revenue quadratic function.

Angel

The revenue, in billions of dollars, for a company in the year 2002 was $2.7 billion. One year later, in 2003, the revenue had risen to $3.4 billion. In 2005, the revenue climbed to $3.9 billion, before falling to $2.7 billion in 2008. The revenue, r, in billions of dollars, for the company, is a quadratic function of the number of years since 2002, x. what is the vertex of the function?

To find the quadratic function that represents the revenue of the company as a function of the number of years since 2002, we can use the vertex form of a quadratic function:

r(x) = a(x - h)^2 + k

where a is the coefficient of the quadratic term, h is the x-coordinate of the vertex, and k is the y-coordinate of the vertex.

We can use the given revenue values to set up a system of three equations:

2.7 = a(0 - h)^2 + k

3.4 = a(1 - h)^2 + k

2.7 = a(6 - h)^2 + k

Subtracting the first equation from the second, and the first equation from the third, we get:

0.7 = a(1 - h)^2

0 = a(6 - h)^2

Since a cannot be zero (otherwise we wouldn't have a quadratic function), we can divide the second equation by the first to get:

6 - h = 10

which gives us h = -4.

Substituting h = -4 into the first equation, we get:

2.7 = a(0 - (-4))^2 + k

2.7 = 16a + k

Substituting the revenue value for 2005, we get:

3.9 = a(3 - (-4))^2 + k

3.9 = 49a + k

Solving for a and k, we get:

a = -0.1

k = 4.3

Therefore, the quadratic function that represents the revenue of the company as a function of the number of years since 2002 is:

r(x) = -0.1(x + 4)^2 + 4.3

The vertex of this function is at (-4, 4.3).

Angel

What is the sum of the numbers in the sequence 3, −4, 5, −6, . . . , 101?

We can notice that the sequence alternates between adding an odd number and subtracting an even number. The first term is 3, which is odd, so the sequence starts by adding an odd number. The second term is -4, which is even, so the sequence then subtracts an even number. This pattern continues, so the sum of the sequence can be written as:

3 - 4 + 5 - 6 + ... + 101

We can group the terms into pairs:

(3 - 4) + (5 - 6) + ... + (99 - 100) + 101

Each pair of terms adds up to -1, so we can simplify the expression to:

-1 -1 -1 ... -1 + 101

where there are 50 pairs of -1's. The sum of 50 -1's is -50, so the sum of the sequence is:

-50 + 101 = 51

Therefore, the sum of the numbers in the sequence 3, −4, 5, −6, . . . , 101 is 51.

Angel

What is 12 7/8 - 56/17?

To subtract mixed numbers like 12 7/8, we first need to convert it to an improper fraction. We can do this by multiplying the whole number by the denominator of the fraction, and adding the result to the numerator. This gives us:

12 7/8 = (12 × 8 + 7)/8 = 103/8

Now we can subtract 56/17 from 103/8. To do this, we need to find a common denominator for the two fractions. The least common multiple of 8 and 17 is 136, so we can rewrite the fractions with this denominator:

103/8 = (103/8) × (17/17) = 1751/136

56/17 = (56/17) × (8/8) = 448/136

Now we can subtract the two fractions:

1751/136 - 448/136 = (1751 - 448)/136 = 1303/136

We can simplify this fraction by finding a common factor to divide both the numerator and denominator. Since both 1303 and 136 are relatively prime, we cannot simplify it any further. Therefore, the final answer is:

12 7/8 - 56/17 = 1303/136

The diameter,D , of a sphere is 11.2 cm . Calculate the sphere's volume V, . Use the value for 3.14 ,pie and round your answer to the nearest tenth. (Do not round any intermediate computations.) will give brainliest.

Answers

735.24563 is the the sphere's volume V.

What does sphere refer to?

The shape and symmetry of a sphere are both round. All of its surface points are equally spaced from the centre, making it a three-dimensional solid. On the basis of its radius, it has a surface area and a volume.

                             There are no faces, corners, or edges on it. the collection of all locations in three dimensions that are the same distance from a specific point (the centre) is known as the radius, or the outcome of rotating a circle around one of its diameters. The elements and characteristics of a sphere are comparable to those of a circle.

 D = 11.2  

 r = 11.2/2  = 5.6

 the sphere's volume  = 4/3 πr³

                                   = 4/3 * 3.14  * (5.6)³

                                  = 735.24563

Learn more about sphere

brainly.com/question/11374994

#SPJ1

Create a proportion from each set of numbers ONLY use 4 numbers from each set:
1) 66, 99, 8, 11, 6, 88
2) 45, 14, 25, 35, 19, 10
3) 5, 48, 12, 18, 1, 4
4) 9, 45, 13, 75, 25, 5
5) 72, 9, 84, 12, 6, 54

Answers

Answer:66:8 = 99:x45:25 = 35:x48:18 = 5:x45:75 = 13:x9:84 = 12:x

Can someone solve this for me please 4x+y=-2;3x-y=-12

Answers

After solving the given equation we find out that the value of x = -2, y = 6.

To solve for x and y, we can use the method of elimination, also known as the addition method. The idea is to add the two equations together in a way that eliminates one of the variables. In this case, we can add the two equations as follows:

(4x + y) + (3x - y) = -2 + (-12)

Combining like terms, we get:

7x = -14

Dividing both sides by 7, we get:

x = -2

Now that we know x, we can substitute this value into either of the original equations to solve for y. Let's use the first equation:

4x + y = -2

Substituting x = -2, we get:

4(-2) + y = -2

Simplifying, we get:

-8 + y = -2

Adding 8 to both sides, we get:

y = 6

Therefore, the solution to the system of equations is:

x = -2, y = 6.

To learn more about equations click here

brainly.com/question/29538993

#SPJ1

Students rented buses and vans to go attend the southwood staff/ student hockey game. There were 8 vans and 12 buses for 360 students
a) write an equation to describe this relationship
b) if there were 12 students per van, how many students fit in each bus?

Answers

Therefore, each bus can hold 22 students if there were 12 students per van.

What is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. Equations typically contain one or more variables, which are symbols that can represent different values. Solving an equation means finding the value or values of the variable(s) that make the equation true.

Here,

a) Let V be the number of vans and B be the number of buses. We know that there were 8 vans and 12 buses, so we can write:

V + B = 20 (the total number of vehicles)

We also know that there were 360 students in total. If we assume that each van can hold 12 students, and each bus can hold some number of students, we can write:

12V + bB = 360 (the total number of students)

where b is the number of students that each bus can hold.

b) We can use the equation we derived in part a) and substitute V = 8 to solve for B:

V + B = 20

8 + B = 20

B = 12

So there were 12 buses in total. We can then use the equation 12V + bB = 360 and substitute V = 8 and B = 12 to solve for b:

12V + bB = 360

12(8) + b(12) = 360

96 + 12b = 360

12b = 264

b = 22

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

Determine the surface area of the trapezoidal prism to nearest whole number (no unit is required)

Answers

We can conclude after answering the provided question that As a result, rectangle the surface area of the trapezoidal prism is 180 to the nearest whole number.

What is rectangle?

In Euclidean geometry, a rectangle is a triangular prism with four slight angles. It can also be described as a basic rule hexagon or one in which all of the angles are equal. A whole other option for the parallelogram is a straight angle. Four of something like the vertices in a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "vector graphics rectangle" at times. A rectangle is sometimes referred to as a parallelogram due to the equal and parallel sizes of its two sides.

Two trapezoidal faces and four rectangular faces comprise the trapezoidal prism.

To begin, we can use the formula to calculate the area of one of the trapezoidal faces:

Trapezoid area = (1/2) x (sum of parallel sides) x (height)

Area of trapezoidal face = (1/2) x (7 + 10) x 4 = 34

7 x 4 = 28 area of rectangular face

The total area of the rectangular faces is: because there are four rectangular faces

Total rectangular face area = 4 x 28 = 112

Total surface area equals the sum of the areas of trapezoidal and rectangular faces.

Surface area total = 68 + 112 = 180

As a result, the surface area of the trapezoidal prism is 180 to the nearest whole number.

To know more about rectangle visit:

https://brainly.com/question/29123947

#SPJ1

PLEASE HELP!!! 50 points

Answers

As per the congruent angles' theorem, the angles ∠3=∠4.

What are congruent angles?

Angles that are identical to one another are said to be congruent. As a result, these angles are proportionally equal to one another.

Angles can be acute, obtuse, exterior, or interior, and their shape has no bearing on whether they are congruent or not.

In the given triangle,

∠5 = ∠6

∠1 = ∠2 as the angles are opposite corresponding angles.

As two of the 3 angles are equal to each other.

So, ∠3=∠4.

The third angles are equivalent to each other as per the congruent angle theorem.

To know more about congruent angles, visit:

https://brainly.com/question/16448127

#SPJ1

help on the question in the image

Answers

Answer:

Q and R

Step-by-step explanation:

I WILL GIVE 35 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS

Answers

let me give you a cheesy answer, hmm the exponent on the compound interest is 4t, the years is "t", and the number pegged to it is the "compounding period", in this case is 4, so that means the compounding period is 4, so the account compounds 4 times a year, so is a quarterly period.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$200\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\\ t=years \end{cases} \\\\\\ ~\hfill A=200(1.10)^{4t}~\hfill[/tex]

5x−2+x=9+3x+10 what is x

Answers

Answer x = 7

Step by step

5x−2+x=9+3x+10
First we combine like terms
We cannot add variables with constants!

(5x + x) -2 = 3x + ( 9 + 10)
Simplify

6x -2 = 3x + 19

Subtract 3x from both sides to combine variables

6x -3x -2 = 3x - 3x + 19
Simplify

3x -2 = 19
Add 2 to both sides to combine constants

3x -2 +2 = 19 +2
Simplified

3x = 21

Divide both sides by 3 to solve for x

3/3 x = 21/3

x = 7 is your answer

Answer:x=7

Step-by-step explanation:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x-2+x-(9+3*x+10)=0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  3x - 21  =   3 • (x - 7)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x-7 = 0

Add  7  to both sides of the equation :

                     x = 7

One solution was found :

x = 7

Use the graph to answer the question. Graph of a polygon ABCD with vertices at 6 comma 6, 14 comma 6, 14 comma 10, 6 comma 10 and a second polygon A prime B prime C prime D prime with vertices at 3 comma 3, 7 comma 3, 7 comma 5, 3 comma 5. Determine the scale factor used to create the image. one half 2 one fourth 4

Answers

Answer:

The scale factor is 1/2

Step-by-step explanation:

The ordinal length is 8 and the width is 4.

The image has a length of 4 and a width of 2.

Helping in the name of Jesus.

The scale factor is 1/2

What is scale factor?

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

a polygon ABCD with vertices at 6 comma 6, 14 comma 6, 14 comma 10, 6 comma 10 and a second polygon A prime B prime C prime D prime with vertices at 3 comma 3, 7 comma 3, 7 comma 5, 3 comma 5.

so, we get,

The ordinal length is 8 and the width is 4.

and, we have,

The image has a length of 4 and a width of 2.

so, we get,

scale factor for length = 4/8

                                     = 1/2

scale factor for width = 2/4

                                    = 1/2

Hence, The scale factor is 1/2.

To learn more on scale factor click:

brainly.com/question/5992872

#SPJ2

1.2: Entrance Fees
A state park charges an entrance fee based on the number of people in a vehicle. A car
containing 2 people is charged $14, a car containing 4 people is charged $20, and a van
containing 8 people is charged $32.
1. How much do you think a bus containing 30 people would be charged?
2. If a bus is charged $122, how many people do you think it contains?
3. What rule do you think the state park uses to decide the entrance fee for a vehicle?

Answers

The fixed fee of $6 covers the cost of the vehicle, and the fee of $4 per person covers the cost of maintaining the park facilities and services.

What is function?

In mathematics, a function is a rule that assigns a unique output for each input in a specified set. It is often denoted by an equation or formula, and it describes the relationship between the inputs (independent variables) and the outputs (dependent variables). The set of all possible inputs is called the domain, and the set of all possible outputs is called the range. Functions are used in many areas of mathematics, as well as in science, engineering, and other fields to model real-world phenomena and to solve problems.

Here,

1. To estimate how much a bus containing 30 people would be charged, we can look for a pattern in the given examples. We notice that the fee increases as the number of people in the vehicle increases. Also, the fee for a car containing 2 people is $14, which can be seen as a fixed fee. Therefore, we can assume that the fee for a vehicle containing n people is of the form f(n) = a + bn, where a is the fixed fee and b is the fee per person. Using the information given, we can set up two equations:

f(2) = 14, which gives a + 2b = 14

f(4) = 20, which gives a + 4b = 20

Solving these equations, we get a = 6 and b = 4. Therefore, the rule for the entrance fee is f(n) = 6 + 4n. Substituting n = 30, we get f(30) = $126.

2. To estimate how many people a bus contains if it is charged $122, we can use the same rule that we derived in part 1: f(n) = 6 + 4n. Setting f(n) = 122, we get 6 + 4n = 122, which gives n = 29. Therefore, we can estimate that the bus contains 29 people.

3. Based on the given examples and our analysis in parts 1 and 2, we can infer that the state park uses a linear rule to decide the entrance fee for a vehicle. Specifically, the rule is f(n) = 6 + 4n, where n is the number of people in the vehicle.

To know more about function,

https://brainly.com/question/28193994

#SPJ1

7. Which of the following represents the range of the function g(x) = -3(x + 5)² +10
(1) y ≤ 10
(2) y> -15
(3) y > 10
(4) y ≤ 15

Answers

Answer: Using the absolute value function, linear functions and translations, we have that:

9. Vertex (2, 0), Range: {y | 0 ≤ y < ∞}

10. The equation is f(x) = -5x + 100.

11. The correct option is: The slope of f(x) is greater than the slope of g(x).

12. h(-5) = 10.

13. The equation is f(x) = 2x + 5.

14. The graph of y = f(x) will shift right 9 units.

Step-by-step explanation:

Sam has $150. She used 40% to buy a dog. How much did the dog cost?

Answers

Answer:

Step-by-step explanation:

60$. (((150 * 40 and divide by 100)))

Step-by-step explanation:

She used    40%  of $150  :

40%  *  $150   =   .40 * 150  =  $ 60  for the   pup-a-roo.

For what value of the constant c is the following function a probability density function? f(x) = cx^3, (0 < x < 1).

Answers

The value of the constant c such that the function f(x) = cx³ is a probability density function is 4.

The given function is f(x) = cx³, where 0 < x < 1. We know that a function f(x) is said to be a probability density function on the interval [a, b] if it satisfies the following conditions: 1. f(x) ≥ 0 for all x ∈ [a, b].2. ∫f(x)dx = 1 over the interval [a, b]. Given that 0 < x < 1, the limits of integration are from 0 to 1.

Now, integrating the given function, we get: ∫₀¹ cx³ dx= [c/4 x⁴]₀¹= c/4 × 1⁴ - c/4 × 0⁴= c/4

Therefore, for the given function to be a probability density function, the value of c should be such that∫₀¹ cx³ dx = 1⇒ c/4 = 1⇒ c = 4

You can learn more about probability density function at: brainly.com/question/31039386

#SPJ11

the data below represents the number of hours a random sample of students watched netflix in a month.32 33 34 21 33 22 34 29 18 21 31 21 18 30a) create a dot plot to the right. label carefully including title.b) give the mode. c) give the median. d) give the mean and variable. e) give the range.

Answers

The dot plot for the given data is given below with Title Number of hours students watched Netflix in a month. The mode is 21, median is 29.5, mean is 26.92, range is 16.

A dot plot is a simple and effective way to display data graphically. It is a type of chart that uses dots to represent values and shows the distribution of a dataset.

Mode is a statistical term that refers to the value that appears most frequently. In the given data, 21 occurs most frequently, hence the mode is 21.

To find the median first arrange the data in ascending or descending order

18, 18, 21, 21, 21, 22, 29, 30, 31, 32, 33, 33, 34, 34

Hence, the number of observations in the data set are 14, therefore the median is the average of 7th and 8th observation is the arranged data set.

Median = (29 + 30)/2 = 59/2 = 29.5

Mean is the ratio of sum of all observations to the total number of observations.

Mean = (18 + 18 + 21 + 21 + 21 + 22 + 29 + 30 + 31 + 32 + 33 + 33 + 34 + 34)/14 = 26.92

Range is the difference between the highest and lowest number in the data set.

Range = 34 - 18 = 16

To know more about mean here

https://brainly.com/question/29287799

#SPJ4

A Texile factory uses a 43 liter bucket of dye per 1 roll of fabric that is 1,067 feet long. If the factory has 4 buckets of dye, can it dye 5 rolls of fabric?

Answers

Given data in the problem is,

—-> 43 litre bucket of dye per 1 roll

-—> In feet, it is 1067 feet long

If 4 buckets of dye, can it dye 5 rolls of fabric

The factory has 172 liters of dye available.

What is mean by liters?

Liters is a unit of volume in the International System of Units (SI). It is commonly used to measure the volume of liquids, gases, and solids that can be poured or contained in a container. One liter is equivalent to 1000 cubic centimeters (cc) or milliliters (ml), and it is roughly equal to 1.057 quarts or 0.264 gallons.

In the given question,

First, we need to find out how much dye is needed for one roll of fabric. We know that 43 liters of dye are needed for 1 roll of fabric that is 1,067 feet long.

Therefore, we can say that:

1 roll of fabric = 43 liters

To find out how much dye is needed for 5 rolls of fabric, we can multiply both sides of this equation by 5:

5 rolls of fabric = 5 × 43 liters

1,067 feet = 215 liters

1,067 feet

So, 5 rolls of fabric would require 215 liters of dye.

Next, we need to check if the 4 buckets of dye are enough to dye 5 rolls of fabric. Each bucket contains 43 liters of dye, so 4 buckets would contain:

4 buckets of dye = 4 × 43 liters

= 172 liters

Therefore, the factory has 172 liters of dye available.

Since 215 liters of dye are required for 5 rolls of fabric, and the factory has only 172 liters of dye available, it cannot dye 5 rolls of fabric with the given amount of dye.

Learn more about liters visit:

brainly.com/question/25546396

#SPJ2

The total weight of 5 bags of rice is 32.4 kg. If the average weight of 2 bags of rice is 8.16 kg, what is the average weight of the other 3 bags of rice?

Answers

We can start by using the formula for calculating the average:

Average = Total sum / Number of items

Let x be the average weight of the other 3 bags of rice. Then we can set up the following equation:

(2 bags weight + 3 bags weight) / 5 bags = Total weight / Number of bags

Substituting the given values, we get:

(2 x 8.16 kg + 3 bags weight) / 5 bags = 32.4 kg / 5 bags

Simplifying and solving for 3 bags weight, we get:

3 bags weight = (32.4 kg / 5 bags) x 5 - 2 x 8.16 kg

3 bags weight = 16.2 kg - 16.32 kg

3 bags weight = -0.12 kg

This means that the total weight of the other 3 bags is negative, which is not possible. Therefore, we have made an error in our calculations.

We can check our work by solving for the average weight of all 5 bags using the formula:

Average = Total sum / Number of items

Substituting the given values, we get:

Average = 32.4 kg / 5 bags

Average = 6.48 kg per bag

Therefore, the average weight of the other 3 bags of rice is:

Average = (Total weight - 2 x 8.16 kg) / 3 bags

Average = (32.4 kg - 16.32 kg) / 3 bags

Average = 16.08 kg / 3 bags

Average = 5.36 kg per bag

Therefore, the average weight of the other 3 bags of rice is 5.36 kg.

5.36kg.

I hope my answer helped you.

RobertOnBrainly

Kierra conducts a survey in her neighborhood to find out how many males and females attend summer camp. part of her survey results are shown Enter values in the blanks to complete the table for Kierra's survey results.

Answers

The full scope of her survey or the methodology she used to collect her data.

According to Kierra's survey results, it seems that the number of females attending summer camp is slightly higher than the number of males. To complete the table for her survey results, we can use the following information:
- In the "Gender" column, we can write "Male" and "Female" to represent the two categories Kierra surveyed.
- In the "Number of Participants" column, we can fill in the values that Kierra collected from her neighborhood.

For example, if she surveyed 100 people and found that 40 of them were males attending summer camp, we can write "40" in the row for "Male" under the "Number of Participants" column.
- We can then add up the values in each row to find the total number of participants in each category. For example, if Kierra found that 60 females attended summer camp, we can write "60" in the row for "Female" under the "Total" column.
| Gender | Number of Participants | Total |
|--------|----------------------|-------|
| Male   | 40                   | 100   |
| Female | 60                   | 100   |
It's important to note that this is only a small part of Kierra's survey results, and we don't know the full scope of her survey or the methodology she used to collect her data.

for such more questions on survey results

https://brainly.com/question/29100342

#SPJ11

Jake thinks of a number. He adds 5 then multiplies the result by 2. The answer is the same as 5 times the number then take away 14. what number did Jake think of?

Answers

Answer: 8

Step-by-step explanation:

First we must set up the equation.

Jake adds 5 to the number then he multiplies it by 2.

2(x+5)

This is equal to the same number times 5 minus 14.

2(x+5)=5x-14

Distribute.

2x+10=5x-14

Add 14 to both sides.

2x+24=5x

Subtract 2x from both sides.

24=3x.

Divide both sides by 3.

8=x

Answer:

Jake thinks of the number 8.

Hope this helps!

Step-by-step explanation:

Turn the paragraph-given information into an equation:

Adds 5 = x + 5 and then multiplies the result by 2 = ( x + 5 ) * 2

5 times the number = x * 5 then take away 14 = ( x * 5 ) - 14

The same as means :

2 * ( x + 5 ) = ( x * 5 ) - 14

2x + 10 = ( 5x ) - 14

2x + 10 = 5x - 14

2x ( - 2x ) + 10 ( + 14 ) = 5x ( - 2x ) - 14 ( + 14 )

24 = 3x

8 = x

x = 8

If you plug 8 into the two equations, you will find both equations equal 26.

Other Questions
understanding how to leverage the firm's unique bundle of resources and capabilities is a key outcome decision makers seek when analyzing the internal organization. true false 1. Describe the work done as positive, negative or no workcable is attached to a bucket and the force of tension is used to pull the bucket out of a well. 2. Describe the work done as positive, negative or no workA busy spider hangs motionless from a silk thread, supported by the tension in the thread. 3. Describe the work done as positive, negative or no workRusty Nales uses a hammer to exert an applied force upon a stubborn nail to drive it into the wall ILL GIVE BRAINLYplease answer correctlycreate a 3 sentence analysis for the following(do all of them)1. students shouldnt have homework because they have 8 hours to learn2. students shouldnt have homework because of late sports games3. students shouldnt have homework because of extracurricuar activites50 points! As Winston waits in the jail cell in the Ministry of Love, he meets the poet Ampleforthand his neighbor Parsons. What are they in for? The combustion of ethane (C2H6) produces carbon dioxide and steam.2C2H6(g)+7O2(g)4CO2(g)+6H2O(g)How many moles of CO2 are produced when 5.10 mol of ethane is burned in an excess of oxygen? 2. Indicate whether each system of equations has no solution, one solution, oran infinite number of solutions by placing an X in the appropriate column.2x-3y=3 and -4x+6y= 63x-2y=3 and x + 2y = 5-8x +12y = -12 and 2x-3y = 3y = -x + 2 and y=3x-2NoSolutionOneSolutionInfiniteSolutions If h(x) = 5 + x and k (x) = StartFraction 1 Over x EndFraction, which expression is equivalent to (k circle h) (x)?\A: StartFraction (5 + x) Over x EndFractionB: StartFraction 1 Over (5 + x) EndFractionC: 5 + (StartFraction 1 Over x EndFraction)D: 5 + (5 + x) Answer each question in at least three sentences. Your answers should include atopic sentence that directly responds to the question, as well as two supportingdetail sentences that cite evidence from the lesson or the "Seneca Falls Convention article. 1. Describe the Seneca Falls Convention. When and where was it held, and why wasit necessary? (3 points)2. How did the abolition movement influence the organizers of the Seneca FallsConvention? (3 points)3. Describe who Elizabeth Cady Stanton and Lucretia Mott were, including theirimportance to the Seneca Falls Convention. (3 points)4. What was the Declaration of Sentiments? Who wrote it, and why? (3 points)5. What is suffrage? Why did some women at the convention argue against women'ssuffrage? (3 points)6. Why did the women at the Seneca Falls Convention create the Declaration ofSentiments? How was this document similar to the Declaration of Independence? (3points)7. According to the article "Seneca Falls Convention, how did news about theSeneca Falls Convention spread throughout the nation? What was the reaction? (3points)8. Describe who Frederick Douglass was, including his influence on the Seneca FallsConvention and the Declaration of Sentiments. (3 points)9. What fact from the article "Seneca Falls Convention" did you find new orsurprising? What does this fact help you understand about the importance of theSeneca Falls Convention? (3 points)10. What happened in the movement for women's rights after the Seneca FallsConvention? How long did it take for women to be granted suffrage? (3 points) how do holistic practitioners act or behave differently, in terms of diagnosis, intervention, and assessment? simplify the expriession {[14 divided by 2) - 3] x 4} divided by Question 11 (3 points)The _______and_______________ tools are the main tools a two-dimensional artist usesto create proportion in an artwork.Line, FormShape, SpaceSpace, FormLine, Shape question 2 what questions should you ask when there is a last-minute change, like the bonsai tree supplier no longer carrying bonsai trees? select all that apply. 1 point which of these numbers of different license plates can be determined using only the product rule (without the use of the sum rule or some other rule)? (select all that apply.) Dylan invested some money in his bank. He agreed a simple interest rate of 3% per annum for a period of 2 years. At the end of the 2-year period the value of his investment increased by 72. Work out the value of Dylan's initial investment. what is the answer to this math equation i am very bad at division and dont understand it (564873 / 5) * 2 + 6 write a piece of code that configures the backchannel uart of the basic launchpad (g2553). you only need to divert the pins to uart functionality. the documents of the basic launchpad can be found on the main page of webcourses. part b) what is the oversampling scheme in uart? part c) is it possible to start with smclk 20. There are 100 packs of 100 sheets of paper on a table. Melissa must transfer 82 sheets from eachpack onto a cart. She can count at a maximum speed of 3 sheets per second and needs a minimum of 3seconds more for putting each pack onto a cart. What is the minimum amount of time she will need toaccomplish the task?a) 15 minutesb) 8 minutesc) 10 minutesd) 12 minutese) 13 minutes The combustion of propane gas produces carbon dioxide and water vapor.C3H8(g)+5O2(g)3CO2(g)+4H2O(g)What volume of oxygen is required to completely combust 0.650 L of propane? What volume of carbon dioxide is produced in the reaction? when quantity demanded exceeds quantity supplied, a shortage occurs and prices are pushed down toward equilibrium. true false Rewrite each question without absolute value for the given condition.PLS HELP1. y = |x-3| + |x+2| - |x-5| if x>52. y = |x-3| + |x+2| - |x-5| if -2