Find the measure of bfg​

The experimental probability of choosing a nickel based on the 13 trials is 4/13.

What is probability ?

Probability can be defined as ratio number of favourable outcomes, total number of outcomes.

Based on the experimental probabilities shown in the table, we can calculate the probability of choosing a nickel on the 13th trial using the following steps:

Calculate the total number of trials: 12 + 1 = 13

Calculate the total number of times a nickel was chosen in the 12 trials: 12 * 1/4 = 3

Add 1 to the total number of times a nickel was chosen to account for the 13th trial: 3 + 1 = 4

Calculate the experimental probability of choosing a nickel based on the 13 trials: 4/13

Therefore, the experimental probability of choosing a nickel based on the 13 trials is 4/13.

To learn more about Probability from given link.

brainly.com/question/30034780

#SPJ1

If there are 578 coyotes in 2003 with initial growth of 1.52, there will be approximately 336113 coyotes in 2028.

The number of coyotes in 2028 can be found by using the formula for exponential growth:

[tex]A = P(1 + r)^t[/tex]

Where:

A = final amount
P = initial amount
r = growth rate
t = time in years

Plugging in the given values:

[tex]A = 578(1 + 1.52)^25[/tex]

Using a calculator, we get:

[tex]A = 578(1.52)^25[/tex]
[tex]A = 578(581.68)[/tex]
[tex]A = 336112.64[/tex]

Therefore, there will be approximately 336113 coyotes in 2028.

To know more about exponential growth refer here:

https://brainly.com/question/12490064

#SPJ11

The equation of the line is y = 780x + 150, r² value  is 0.186, the r value is 0.431, and the predicted population in year 12 is 9450.

To find a linear regression that fits this data, we need to use the following formula:
y = mx + b
where y is the population, x is the number of years, m is the slope, and b is the y-intercept.

We can use the data given to find the slope (m) and the y-intercept (b). The slope can be found by calculating the difference in the population between two consecutive years and dividing it by the difference in the number of years. The y-intercept can be found by plugging in the values of x and y into the equation and solving for b.

Using the data given, we can find the slope and y-intercept as follows:

m = (1950 - 1170) / (3 - 2) = 780
b = 150 - (0)(780) = 150

Therefore, the equation of the line is:
y = 780x + 150

To find the r² value, we can use the formula:
r² = 1 - (SSres / SStot)

where SSres is the sum of squares of residuals and SStot is the total sum of squares.

SSres = (150 - 150)² + (620 - 930)² + (1170 - 1710)² + (1950 - 2490)² = 2,484,400
SStot = (150 - 1222.5)² + (620 - 1222.5)² + (1170 - 1222.5)² + (1950 - 1222.5)² = 3,051,875

r² = 1 - (2,484,400 / 3,051,875) = 0.186

The r value can be found by taking the square root of the r²value:
r = √0.186 = 0.431

To predict the population in year 12, we can plug in the value of x into the equation of the line:
y = 780(12) + 150 = 9450

Therefore, the predicted population in year 12 is 9450.

Learn more about equation at https://brainly.com/question/11186716?

#SPJ11

There is only one solution for this equation. v = 31/4 is the only solution to this equation.

To solve for v in the equation (3)/(4v)+(7)/(v)=1, we need to get a common denominator and then solve for v.

Step 1: Get a common denominator. The common denominator for 4v and v is 4v. So, we will multiply the second fraction by 4/4 to get a common denominator:
(3)/(4v)+(7*4)/(v*4)=1

Step 2: Simplify the fractions:
(3)/(4v)+(28)/(4v)=1

Step 3: Combine the fractions:
(3+28)/(4v)=1

Step 4: Simplify the numerator:
(31)/(4v)=1

Step 5: Cross-multiply to solve for v:
31=4v

Step 6: Divide both sides by 4 to get v:
v=31/4

The solution is v=31/4.

Know more about solution here:

https://brainly.com/question/17145398

#SPJ11

Answer: Let x = 0.727272...

Then, 100x = 72.727272...

Subtracting x from 100x gives:

100x - x = 72.727272... - 0.727272...

99x = 72

x = 72/99

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 9. Therefore:

x = (72/9) / (99/9) = 8/11

So, a = 8 and b = 11. Therefore, the recurring decimal 0.727272... can be expressed as the fraction 8/11.

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

10+11=21

.05+.05=1

1+21=22

The number of points Wyatt has left is 58.

If Wyatt loses 7 points every time he falls off a rock and he falls off 6 rocks, he will lose a total of 42 points (7 x 6 = 42). To find out how many points he has left, we can subtract 42 from his starting points of 100:

100 - 42 = 58

Therefore, Wyatt has 58 points left after falling off 6 rocks in the Rock Climber video game.

For more questions like Subtractions visit the link below:

https://brainly.com/question/17196194

#SPJ11

Answer: 89 miles

Step-by-step explanation:

Well, if the construction crew added one mile every day for 38 days, then the formula would look like this.

L = 51 + (38)

51 + 38 = 89

L = 89 miles

Answer:

B

Step-by-step explanation:

2 is hundred = 2x100

0 is tens =0x10

4 is unit =4 x 1

All numbers after the decimal point to the right are fractions

0 is tenth = 0/10 =0

1 is hundredth =1/100

7 is thousandth 7/1000

Now you can choose the right answer

Mean: The mean is the average of a set of numbers. To calculate the mean, you add up all the numbers in the set and then divide by the total number of numbers in the set.

Median: The median is the middle number in a set of numbers when they are arranged in ascending or descending order.

Mode: The mode is the number that appears most frequently in a set of numbers.

Hi there! Yes, I can certainly show and explain the methods for calculating Mean, Median, and Mode. These are all measures of central tendency, which are used to describe the center of a data set.

Mean: The mean is the average of a set of numbers. To calculate the mean, you add up all the numbers in the set and then divide by the total number of numbers in the set. For example, if you have the numbers 2, 4, 6, 8, and 10, the mean would be (2 + 4 + 6 + 8 + 10) / 5 = 6.

Median: The median is the middle number in a set of numbers when they are arranged in ascending or descending order. If there is an odd number of numbers in the set, the median is the middle number. If there is an even number of numbers in the set, the median is the average of the two middle numbers. For example, if you have the numbers 2, 4, 6, 8, and 10, the median would be 6. If you have the numbers 2, 4, 6, 8, 10, and 12, the median would be (4 + 6) / 2 = 5.

Mode: The mode is the number that appears most frequently in a set of numbers. If there is more than one number that appears the same number of times, there can be more than one mode. For example, if you have the numbers 2, 4, 6, 8, 10, and 10, the mode would be 10 because it appears twice and the other numbers only appear once.

I hope this helps! Let me know if you have any other questions.

Learn more about Mean, Median and Mode

brainly.com/question/30891252

#SPJ11

Answer:

To calculate the ending balance, we can use the following formula:

Ending Balance = Principal x (1 + Interest Rate x Time)

Given:

Principal = $7,900

Interest Rate = 1.9%

Time = 2 3/4 years

Therefore,

Ending Balance = $7,900 x (1 + 0.019 x 2.75) = $8,084.60

Answer: 8319.66994

Step-by-step explanation:

your initial x your interest all raised to your time interval.

7,900(1+.019)^2.75

Answer:

x=6

My best attempt

Step-by-step explanation:

The ratio is 4:5.6 from top to bottom.

We have a ratio of x:8.4

We will make an equation.

4:5.6=x:8.4

Cross multiply:

5.6x=4x8.4

5.6x=33.6

Divide both sides by 5.6:

x=6

the friends receive one eighteenth each

The function that represents exponential growth is C. Of(x) = 0.3(1.05)^(x), where x is the input variable.

Exponential growth occurs when a quantity increases at a constant percentage rate over time, which is exactly what happens in the function C. As x increases, the term (1.05)^(x) grows larger and larger, leading to a corresponding increase in the value of the function. The coefficient 0.3 scales the rate of growth so that it starts at a manageable level.

Functions A, B, and D do not represent exponential growth. Function A decreases over time as the base is less than 1, function B represents a linear growth, and function D represents linear growth as well.

The function with Exponential growth is  f(x) = 0.3 [tex](1.05)^x[/tex].

An exponential function is a nonlinear function with the formula y = [tex]a(b)^x[/tex], where a = 0 and b = 1.

The function is an exponential growth function for a > 0 and b > 1. The function is an exponential decay function when a > 0 and 0 b 1.

First function, f(x) = 134 [tex](0.75)^x[/tex]

Here the value of b < 1 then it Exponential Decay.

Now,  f(x) = 513 + 0.2x is linear function.

Now,  f(x) = 0.3 [tex](1.05)^x[/tex]

Here the value of b > 1 then it Exponential Growth.

Now,  f(x) = 15+ 1.6x is linear function.

Learn more about Exponential function here:

https://brainly.com/question/12490064

#SPJ1

The chemist must use 12 ml of the 11% acid solution and 42 ml of the 20% acid solution to make a solution of quantity 54 ml of 18% concentration acid solution.

It is already given that the chemist wishes to make a solution of 54 milliliters of 18 percent concentration using two different solutions of concentration 11% and 20% each.

Now let us consider that the quantity of acid to be present in the final solution is (18/100)×54 = 9.72 ml

If we consider that x ml of 11% solution and y ml of 20% solution are added, then following relations can be obtained:

Total volume of x and y in the final solution = x + y = 54 ...(1)

Considering the concentration of acid and its volume, the following equation is formed:

0.11x + 0.2y = 9.72 ...(2)

Solving the equations (1) and (2) for the value of x and y, we get:

x = 54 - y

∴ 0.11(54 - y) + 0.2y = 9.72

⇒ 5.94 - 0.11y + 0.2y = 9.72

⇒ 0.09y = 3.78

⇒ y = 42 ml

Putting the value of y in equation (1), we get

x = 54 - y

x = 54 - 42 = 12 ml

Learn more about concentration at:

brainly.com/question/29437746

#SPJ4

The polynomial 4x^(2)y^(4) - 9x^(2)y^(6) can be rewritten as a product of polynomials as:

x^(2)y^(4)(2y + 3)(2y - 3)

The polynomial 4x^(2)y^(4) - 9x^(2)y^(6) can be rewritten as a product of polynomials by factoring out the common factor of x^(2)y^(4). This leaves us with:

x^(2)y^(4)(4 - 9y^(2))

Now, we can factor the polynomial inside the parentheses as a difference of squares:

x^(2)y^(4)(2y + 3)(2y - 3)

Therefore, the polynomial 4x^(2)y^(4) - 9x^(2)y^(6) can be rewritten as a product of polynomials as:

x^(2)y^(4)(2y + 3)(2y - 3)

Learn more about polynomial

brainly.com/question/11536910

#SPJ11

The total distance of 2 and 1/7 laps of the race track is given as follows:

[tex]3\frac{39}{42}[/tex]

The total distance is obtained applying the proportions in the context of the problem.

The length of one lap, as a fraction, is given as follows:

1 and 5/6 km = (6 + 5)/6 = 11/6 km.

The number of laps is given as follows:

2 and (1/7) = (14 + 1)/7 = 15/7 laps.

Hence the total distance is given as follows:

11/6 x 15/7 = 165/42.

165 divided by 42 has a quotient of 3 with a remainder of 39, hence the mixed number representing the number of laps is given as follows:

[tex]3\frac{39}{42}[/tex]

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

12

Step-by-step explanation:

g(-4)=2(-4)^2+4(-4)-8

g(-4)=8

f(8)=2(8)-4

f(8)=12

The equation that can be used to find the area of the figure below is: (10)(8) + (1/2)(6)(8).

The area of mixed shapes is the area that is covered by any hybrid shape. The composite shape is a shape created by joining a small number of polygons to create the desired shape. These forms or figures can be constructed from a variety of shapes, including triangles, squares, quadrilaterals, etc. To calculate the area of a composite object, divide it into simple shapes such a square, triangle, rectangle, or hexagon.

A composite form is essentially a combination of fundamental shapes. A "composite" or "complex" shape is another name for it.

The area of the rectangle is given as:

A = (l)(w)

A = 10(8)

A = 80 sq. units

The area of the triangle is:

A = 1/2(b)(h)

In the figure:

b = 16 - 10 = 6 and h = 8.

A = 1/2(6)(8)

A = 24 sq. units

The total area of the figure is:

Area = area of rectangle + area of triangle

Area = 80 + 24

Area = 104 sq. units

Hence, the equation that can be used to find the area of the figure below is: (10)(8) + (1/2)(6)(8).

Learn more about area here:

https://brainly.com/question/11952845

#SPJ1

Ans - The pilot is 1868.08 mi from her starting position, To find the distance the pilot is from her starting position, we can use the law of cosines. The law of cosines states that for any triangle with sides a, b, and c, and angle C opposite side c:

[tex]c^2 = a^2 + b^2 - 2ab*cos(C)[/tex]

In this case, the pilot's original path is one side of the triangle (a), her new path after the course correction is another side of the triangle (b), and the distance she is from her starting position is the third side of the triangle (c). The angle between the two paths is 20 degrees (C).

First, we need to find the length of sides a and b. The pilot flew for 1.5 hrs at a speed of 685 mi/h on her original path, so:

a = 1.5 hrs * 685 mi/h = 1027.5 mi

She then flew for 2 hrs at the same speed on her new path, so:

b = 2 hrs * 685 mi/h = 1370 mi

Now we can plug these values into the law of cosines to find the distance the pilot is from her starting position (c):

[tex]c^2 = 1027.5^2 + 1370^2 - 2*1027.5*1370*cos(20)[/tex]
[tex]c^2 = 3,488,806.25[/tex]
[tex]c = sqrt(3,488,806.25)[/tex]
[tex]c = 1868.08 mi[/tex]

Therefore, the pilot is 1868.08 mi from her starting position.

Know more about law of cosines here:

https://brainly.com/question/17289163

#SPJ11

The given function f(x) = 5 (2.3)^x is an exponential function.

The given function is f(x) = 5 (2.3)^x.

To determine if the function is linear, quadratic, or exponential, we need to examine the form of the function.

A linear function has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

A quadratic function has the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

An exponential function has the form f(x) = ab^x, where a and b are constants.

The given function, f(x) = 5 (2.3)^x, is in the form of an exponential function, with a = 5 and b = 2.3. Therefore, the function is exponential.

In conclusion, the given function f(x) = 5 (2.3)^x is an exponential function.

Learn more about exponential

brainly.com/question/28596571

#SPJ11

The price for adults to visit the mammoth cave is $16 and the price for students is $9.

The first step is to form a system of equations that represent the information in the question.

2a + 5s = 77 equation 1

2a + 7s = 95 equation 2

Where:

a = price of one adult

s = price of one student

The elimination method would be used to solve the equations.

Subtract equation 1 from equation 2:

2s = 18

Divide both sides of the equation by 2

s = 18/2

s = $9

Substitute for s in equation 1:

2a + 5(9) = 77

2a + 45 = 77

2a = 77 - 45

2a = 32

a = 32 / 2

a = 16

To learn more about system of equations, please check: https://brainly.com/question/25875552

#SPJ1

Benito and his family will save $1,315 by the move to Oakland.

Savings in house = $1200 - $565

                               = $635

Savings in food = $655 - $545

                          = $110

Saving in health care = $495 - $245

                                   = $250

Saving in taxes  = $625 - $450

                          = $175

Saving in necessities = $495 - $350

                                   = $145

Total saving = $635 + $110 + $250 + $175 + $145

                    = $1,315.

Hence, Benito and his family will save $1,315 by the move to Oakland.

To learn more about savings, refer to:

https://brainly.com/question/15279000

#SPJ4

Your question is incomplete, the complete question is:

Benito's family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of living for both cities.

Oakland     Los Angeles  

Cost Housing       $565        $1200

Food                     $545        $655

Health Care         $245        $495

Taxes                    $450         $625

Other Necessities $350        $495

How much money will they save monthly by the move to Oakland? $1315, $1560, $1665, or $1765?

If you are solving for z:

-8=z/14

multiply by 14 on both sides:

z = -112

The Height of the pool should be 1.6 m.

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

Given:

length of pool= 12.5 m

width of pool = 5.7 m

and, Maximum volume of pool = 114 m³

So, Volume= l w h

114 = 12.5 x 5.7 x h

114 = 71.25 h

h = 114/ 71.25

h = 1.6 m

Thus, the height can be 1.6 m.

Learn more about Volume here:

https://brainly.com/question/13338592

#SPJ1

1. (a)  Using a z-table, we can find the probability corresponding to this z-score, which is 0.758. Therefore, the probability that a student's mark is less than 52 is 0.758. (b) To find the number of students whose marks are between 45 and 55, we need to calculate the z-scores for 45 and 55 . The z-score for 45 is (45 - 45) / 10 = 0, and the z-score for 55 is (55 - 45) / 10 = 1.  (c)  The probability corresponding to this z-score is 0.3085. Therefore, the percentage of students whose marks exceed 40 is 1 - 0.3085 = 0.6915, or 69.15%. 2. (a)  So, the probability that a student only has regular study time is 750/1000 - 550/1000 = 200/1000 = 0.2. (b) The probability that a student either has a regular study time or uses reference books is 750/1000 + 550/1000 - 550/1000 = 750/1000 = 0.75. (c) The probability that a student neither studies regularly nor uses reference books is 1 - 0.75 = 0.25.

Therefore, the probability that a student's mark is between 45 and 55 is 0.8413 - 0.3413 = 0.5. Since there are 220 students in the college, the number of students whose marks are between 45 and 55 is 0.5 * 220 = 110.

To find the probability that a student's mark is less than 52, we need to calculate the z-score for 52 using the formula z = (x - μ) / σ, where x is the value we are interested in, μ is the mean, and σ is the standard deviation. So, z = (52 - 45) / 10 = 0.7.

Know more about probability here:

https://brainly.com/question/30034780

#SPJ11