If Cindy shoots a ball at a basket 40 times
and scores 15 times, what is the
experimental probability of Cindy scoring?

Answers

Answer 1

Experimental probability of Cindy scoring=0.375

Probability:

Probability is always a number between 0 and 1, where 0 means an event is impossible and 1 means an event is certain.

The probabilities in a probability model must sum to 1.

When the outcomes of an experiment are all equally likely, we can find the probability of an event by dividing the number of outcomes in the event by the total number of outcomes in the sample space for the experiment.

To find the probability of the union of two events, we add the probabilities of the two events and subtract the probability that both events occur simultaneously.

To find the probability of the union of two mutually exclusive events, we add the probabilities of each of the events.

The probability of the complement of an event is the difference between 1 and the probability that the event occurs.

In some probability problems, we need to use permutations and combinations to find the number of elements in events and sample spaces.

Formula :

probability of an event with equally likely outcomes : [tex]\frac{n( experimental-event )}{n(total no. of event )}[/tex]

Given :

Total no. of event =Cindy shoots a ball at a basket 40 times

experimental event = 15 times

[tex]P(E)= \frac{15}{40} \\P(E)=\frac{3}{8} \\P(E)= 0.375\\[/tex]

experimental probability of Cindy scoring=0.375

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Related Questions

A city has a population of 210,000 people. Suppose that each year the population grows by 4.5% . What will the population be after 5 years?

Answers

The population of a city after 5 years would be 261698.

We know the the formula for the exponential growth of the population is,

P(t) = a(1+r)^t

where, a is the initial population

t is the time period

r is the rate of growth

In this question, we have a = 210000, %R = 4.5

So, r = 0.045

We need to find the population after 5 years.

t = 5

Using above formula,

P = 210000 × ( 1 + 0.045)^5

P =  210,000 × (1.045)^5

P = 210,000 × 1.25

P = 261698.2

P ≈ 261698

Therefore, the population of a city after 5 years would be 261698.

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E= 1R solve for R pls help me I don’t understand

Answers

Answer:

r = e or 2.718282

Step-by-step explanation:

a) simplify both sides of the equation

2.718282 = r

b) flip the equation

r = 2.718282

Solve the inequality and express your answer in interval notation. x^2-12x+3<0

Answers

Solution:

B.) [tex](6-\sqrt{33}, 6+\sqrt{33})[/tex]

Hope this helps! If so, please lmk! Thanks and good luck!

given z (x)=15x-x^2+3

Answers

Answer:

○ [tex]z(x - 1) = -x^2 + 17x - 13[/tex]

Step-by-step explanation:

We are told that:

[tex]z(x)= 15x - x^2 + 3[/tex],

and told to find an expression for [tex]z(x - 1)[/tex].

In order to find [tex]z(x - 1)[/tex], we have to replace [tex]x[/tex] in the definition of [tex]z(x)[/tex] with [tex](x-1)[/tex]:

[tex]z(x - 1) = 15(x -1) - (x - 1)^2 + 3[/tex]

Now we can simplify:

⇒ [tex]z(x-1) = 15x - 15 - (x - 1)^2 + 3[/tex]      [Distributing 15 into the first brakets]

⇒ [tex]z(x-1) = 15x - 15 - (x^2 - 2x + 1) + 3[/tex]

⇒ [tex]z(x-1) = 15x - 15 - x^2 + 2x - 1 + 3[/tex]     [Distributing the minus sign]

⇒ [tex]z(x - 1) = 17x - x^2 -13[/tex]          [Combining like terms]

⇒ [tex]z(x - 1) = -x^2 + 17x - 13[/tex]

Therefore, the first option is the correct one.

Suppose we want to choose 6 objects, without replacement, from 12 distinct objects. (a) If the order of the choices matters, how many ways can this be done? (b) If the order of the choices does not matter, how many ways can this be done?

Answers

(a) There are 665280 ways of selection if the order of the choices matters.

(b) There are 924 ways of selection if the order of the choices does not matters.

(a)  If the order of the choices matters, then we must use the permutation formula that is

[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]

Here n is the total no. of objects and r is chosen objects

We have n = 12

               r = 6

After we substitute the value we get

[tex]^{12}P_6 = \frac{12!}{(12 - 6)!}[/tex]

[tex]^{12}P_6 = \frac{12!}{6!}[/tex]

[tex]^{12}P_6[/tex] = 665280

Thus, there are 665280 ways of selection if the order of the choices matters

(b)  If the order of the choices does not matter, then we must use the combination formula that is

[tex]^nC_r = \frac{n!}{r!(n - r)!}[/tex]

After we substitute the value we get

[tex]^{12}C_6 = \frac{12!}{6!(12 - 6)!}[/tex]

[tex]^{12}C_6 = \frac{12!}{6! 6!}[/tex]

[tex]^{12}C_6 =[/tex] 12×11×10×9×8×7×6! / 6!×6!

[tex]^{12}C_6 =[/tex] 12×11×10×9×8×7/ 6!

​[tex]^{12}C_6 =[/tex] 665280/ 720

​[tex]^{12}C_6 =[/tex] 924

Thus, there are 924 ways of selection if the order of the choices does not matters.

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A dog is 9 times as heavy as a cat, a hamster is 20 times as light as a cat, and a mouse is 6 times as heavy as the hamster. How many times is the dog as heavy as a mouse?​

Answers

Answer:

30

Step-by-step explanation:

Let the cat have a weight of x.

Then, the dog weighs 9x.

The hamster weighs x/20.

The mouse weighs 3x/10.

So, the dog is 9/(3/10) = 30 times as heavy.

The weight of the dog is 30 times the weight of the mouse.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the weight of the dog be x,
A dog is 9 times as heavy as a cat,
weight of the dog = 9x - - - - -(1)


A hamster is 20 times as light as a cat
Weight of the hamster = x /20

A mouse is 6 times as heavy as a hamster.

Weight of the mouse = 6(x /20)
m(20/6) = x

Now, put x = m(20/6) in equaiton 1,
weight of the dog = 9[m(20/6)]
weight of the dog = 30m

Thus, the weight of the dog is 30 times the weight of the mouse.

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Shinya went to the salon. The cost if her haircut was $18.00. He tipped the barber 20%. What was the total cost
?

Answers

The total count is 21.60
18 x .20=3.6
18 + 3.6= 21.6

PLS HELP! 50 points!
Xin has a dimes and y nickels. She has a maximum of 18 coins worth a minimum of $1.10 combined. Solve this system of inequalities graphically and determine one possible solution. ​

Answers

The x and y nickels and a dime. She has up to 18 coins totaling a minimum of $1.10 in value. In the graphically representation we can see the line intersect each other at point (12,6).

Given that,

The x and y nickels and a dime. She has up to 18 coins totaling a minimum of $1.10 in value.

We have to create a graphic representation of this inequality system and choose a potential resolution.

x + y ≤18----->equation(1)

Amount in pennies: 5x+10y≥110------>equation(2)

solves by eq2 - 5×eq(1)

5x+10y - 5(x+y) = 120 - 5×18

5x + 10y -5x-5y  = 120 - 90

5y = 30

y=6

Then x=12

Therefore, x=12, y=6 is the point where two lines converge.

In the graphically representation we can see the equation (1) line and equation (2) line intersect each other at point (12,6).

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All flowers need water
Some trees need water
Some flowers are trees
Valud or Invalid

Answers

Valid I’m pretty sure hope that helps

valid . some trees grow flowers i belive

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

A triangle ABC is shown. The base of triangle extends into a straight line. The angle formed between this straight line and the edge of triangle is marked as d. The angle adjacent to w is marked as c, and the other two angles inside the triangle are marked as a and b.
Step 1: m∠a + m∠b + m∠c = 90 degrees (complementary angles)
Step 2: m∠d + m∠c = 180 degrees (supplementary angles)
Step 3: Therefore, m∠a + m∠b + m∠c = m∠d + m∠c
Step 4: So, m∠a + m∠b = m∠d

In which step did the student first make a mistake and how can it be corrected? (1 point)

a
Step 1; it should be m∠a + m∠b + m∠c = 180 degrees (corresponding angles)

b
Step 1; it should be m∠a + m∠b + m∠c = 180 degrees (sum of angles of a triangle)

c
Step 2; it should be m∠d − m∠c = 90 degrees (alternate interior angles)

d
Step 2; it should be m∠d − m∠c = 90 degrees (adjacent angles)

Answers

Answer:

B

Step-by-step explanation:

from seeing the steps listed the answer should be b would be helpful if u posted the diagram along

A triangle has one 30° angle, an unknown angle, and an angle with a measure that is twice the measure of the unknown angle. Find the measures of the triangle's unknown angles and explain how you found the answer.

Answers

The measures of the triangle's unknown angles will be 50° and 100°.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

A triangle has one 30° angle, an unknown angle, and an angle with a measure that is twice the measure of the unknown angle.

Let 'a' and 'b' be the unknown angles of the triangle. Then the equation will be

∠a = 2 ∠b

We know that the angle sum of the triangle is 180°. Then the equation will be

∠a + ∠b + 30° = 180°

2∠b + ∠b = 150°

3∠b = 150°

∠b = 50°

Then the measure of the angle 'a' will be

∠a = 2 ∠b

∠a = 2 x 50°

∠a = 100°

The measures of the triangle's unknown angles will be 50° and 100°.

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Michael Wittry has been investing in his Roth IRA retirement account for 21 years. Two years ago, his account was worth $215,613. After losing 13 of its original value, it then gained 12 of its new value back. What is the current value of his Roth IRA

Answers

If two years ago, his account was worth $215,613. After losing 13 of its original value, it then gained 12 of its new value back. The current value of his Roth IRA is: $215,613.

Current value

First step is to calculate the value loss

Value loss=1/3× original  value

Value loss= 1/3× $215,613

Value loss= $71,871

Second step is to calculate the new value

New value=$215,613-$71,871

New value= $143,742

Third step is to calculate the value gained

Value gained= 1/2× new value

Valued gained=1/2× $143,742

Valued gained=$71,871

Fourth step is to calculate the current value

Current value= $143,742+$71,871

Current value=$$215,613


Therefore If two years ago, his account was worth $215,613. After losing 13 of its original value, it then gained 12 of its new value back. The current value of his Roth IRA is: $215,613.

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The terminal side of an angle theta in standard position passes through the point ​-6(-4​,​). Use the figure to find the following value. r

Answers

Answer is - 2 [tex]\sqrt{3}[/tex] / 13

Cosecant Given a point P(x, y) on the terminal side of an angle θ in standard position

cosθ = cos (π + d) (d is the inner angle of the tringle)

       = - cos 2

       = - 4 / - [tex]\sqrt{(- 6^{2} + (- 4^{2} )[/tex]

       = - 4 / - [tex]\sqrt{36 + 16 }[/tex]

      = - 4 / -[tex]\sqrt{52}[/tex]

      = - 4 / 2[tex]\sqrt{13}[/tex]

      = - 2 / [tex]\sqrt{13}[/tex]

multiply by [tex]\sqrt{13}[/tex]

we get,

      = -  [tex]\frac{2 \sqrt{13} }{13}[/tex]

Formulae :

Arc cosecant      y = arcs(x) = csc-1(x). Another way to write x = csc(y).

Arccosine      y = arcos(x) = cos-1(x). Another way to write x = cos(y).

Arc cotangent    y = arcos(x) = cot-1(x). Another way to write x = cot(y).

Arc secant       y = arcsec(x) = sec-1(x). Another way to write x = sec(y).

Arcsine       y = arcsine(x) = sin-1(x). Another way to write x = sin(y).

Arctangent   y = arctan(x) = tan-1(x). Another way to write x = tan(y).

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What are the coordinates of point A?

Answers

Answer:

It's coordinates are (1,-2)

QUESTION 5
(a) Differentiate the following
(i)
y=e²x - 3e-4x

Answers

Answer: e² - 4

Step-by-step explanation:

Differentiate of e²x - 3e-4x is e² - 4

Answer:

[tex]\dfrac{\text{d}y}{\text{d}x} = 2e^{2x}+12e^{-4x}[/tex]

Step-by-step explanation:

Given function:

[tex]y=e^{2x}-3e^{-4x}[/tex]

[tex]\boxed{\begin{minipage}{3.7cm}\underline{Differentiating $ax$}\\\\If $y=ax$, then $\dfrac{\text{d}y}{\text{d}x}=a$\\\end{minipage}}[/tex]

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Differentiating $e^{f(x)}$}\\\\If $y=e^{f(x)}$, then $\dfrac{\text{d}y}{\text{d}x}=f\:'(x)e^{f(x)}$\\\end{minipage}}[/tex]

Therefore:

[tex]\begin{aligned}\implies \dfrac{\text{d}y}{\text{d}x} & = \dfrac{\text{d}}{\text{d}x} e^{2x}-\dfrac{\text{d}}{\text{d}x}3e^{-4x}\\\\& =2 \cdot e^{2x}-(-4)\cdot 3 e^{-4x} \\\\ &= 2e^{2x}+12e^{-4x}\end{aligned}[/tex]

Multiple choice: Which of the following steps below would be a good first step when solving the equation 2x+5=11

Divide both sides by 2
Add 5 to both sides of the equation
Subtract 5 from both sides of the equation
Add 11 to both sides of the equation

Answers

Answer:

easy

Step-by-step explanation:

How to solve a system of equations by elimination.

Write both equations in standard form.

Make the coefficients of one variable opposites.

Add the equations resulting from Step 2 to eliminate one variable.

Solve for the remaining variable.

Substitute the solution from Step 4 into one of the original equations.

Stephan monthly pay stub indicates that his monthly gross income is 3800 however 800 is withheld for income and social security taxes and 200 is withheld for his health and disability insurance how much is Stephan’s Disposable income

Answers

Step-by-step explanation:

3800 is the general amount, but before he can touch it, 800 and 200 are taken away from it for the described purposes.

so, what is left is

3800 - 800 - 200 = 2800

this is then the real amount he can do something with.

3)
Chicken cost $7.19 per pound. You buy 0.82 pounds at the supermarket.
How much did you spend?

Answers

Answer:

$5.90

Step-by-step explanation:

(7.19)(.82)  Put these numbers in your calculator and multiply them together.

5.8958 Round to the nearest cent

$5.90

Can someone please explain this to me? Thank youuu:)

Answers

Answer:

B: 3x+(4x+2)=180

Step-by-step explanation:

Supplementary angles are those angles that sum up to 180 degrees. The question gives you the two angles that compose the 180 degree angle thus you get the equation:

Angle 1 + Angle 2 = Supplementary Angle

In this case we see that these two angles are Angles B and C and a supplementary angle is 180 degrees thus:

(4x+2)+3x = 180

Furthermore this also allows you to find x.

Assistant Manager Clyde works as a part-time assistant manager for the Barkley Coffeehouse to earn money to help pay for his college expenses. He makes $11.50 per hour. The coffeehouse sells whole bean coffee, mugs, and other coffee products. Clyde earns $0.50 for each of these items he sells. Last week he worked 30 hours and earned $364. How many coffee products did he sell last week?

Answers

The number of coffee product he sells is 38.

How to find the number of coffee products he sells?

He makes $11.50 per hour.

He earns $0.50 for each of these items he sells.

Last week he worked 30 hours and earned $364.

Therefore, the number of coffee product he sells last week can be calculated as follows:

let

x = number of coffee product he sells.

364 = 11.50(30) + 0.50(x)

364 = 345 + 0.50x

364 - 345 = 0.50x

19 = 0.5x

divide both sides by 0.5

x = 19 / 0.5

x = 38

Therefore, the number of coffee product he sells is 38.

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Please help me
Thank you

Answers

Answer: 3 gallons per hour

Step-by-step explanation: 14-(3x) =5 14-5=9 9/3=3

3 gallons per hour is going to be the correct answer

Taylor is curious to know how different types of music will impact how long it takes someone to finish their homework. She gathers a group of 12 year olds and breaks them into groups of 3. The first group listens to nothing. The 2nd group listens to classical, the 3rd listens to pop music, and the 4th listens to heavy metal. Each group needs to read 20 pages of the same book and answer the same set of 20 math questions. She times each group and compares.

a) Find the Independent Variable
b) Find the dependent variable
c) Find the Control Group
d) Find the experimental group
e) Find 3 constants

Answers

The answer should be C

the day of the month
a) interval
b)ordinal
c) nominal
d) ratio
?

Answers

The day of the month is nominal (option c).

What is nominal data?

Nominal data is data that can be labelled or classified into mutually exclusive categories within a variable.  A nominal variable is a categorical variable that is qualitative.

A ratio scale is quantitative. A ratio scale is a variable with a true zero. An example is weight. An interval variable is a variable where each value is measured along a scale. An example of an interval variable is credit score.

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Gabby worked 30 hours in 4 days. Determine the rate for ratio of the two different quantities.

30/34 hours per day

4/30 hours per day

30/4 hours per day

4/34 hours per day

Answers

The required rate for ratio of the two different quantities i.e

Gabby worked 30/4 hours per day.

Option (c) is correct.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Gabby worked 30 hours in 4 days.

According to given question we have

The ratio of the two quantities of the different kind and in the different units is a fraction that shows how many times one quantity is of the other.

By the use of arithmetic we have,

Gabby worked 30 hours in 4 days means

4 days= 30 hours

1 days = 30/4 hours

Therefore, the required rate for ratio of the two different quantities i.e

Gabby worked 30/4 hours per day.

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Answer: 30/4 hours per day

Step-by-step explanation:

Cosx-1=0[tex]Cos(x)-1=0[/tex]

Answers

The solution of the given trigonometric form equation as required in the complete task content is; x = nπ where n is any real number integer value.

What is the solution of the given trigonometric equation as in the task content?

It follows from the task content that the solution to the given trigonometric equation is to be determined.

Given;

Cos(x) - 1 = 0

Add 1 to both sides of the equation;

Cos (x) = 1

Therefore, the value of x can be determined by evaluating the cos inverse of (-1).

Hence,

x = Cos-¹(1)

x = nπ (where n is any integer real number value).

Ultimately, the solution of the given trigonometric form equation as required in the complete task content is; x = nπ where n is any real number integer value.

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219 +485 = 348 + please

Answers

Answer: please=356

Step-by-step explanation:

219 +485 = 348 + please

704=348 + please

please=356

PLEASE HELP! Triangle BCD has the following side lengths: BC = 60, CD = 50

Triangle RST has the following side lengths: RS = 11x-4, ST = 70

What is the value of x? (put just the number in the first box)
What is the length of side RS? (put just the number in the second box)

Answers

The value of x is 11 units and the length of side RS = 11x-4 is 117 units.

with measurement BC = 60, CD = 50.

Triangle RST : RS = 11x-4, ST = 70

What is similarity?

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

Given:

BC = 60 and CD = 50

RS = 11x - 4 and ST = 70

Now, considering

BC : CD = RS : ST

60 : 50 = 11x - 4 : 70

60/50 = (11x - 4)/70

50 * (11x - 4) = 70 * 60

11x - 4 = 84

11x = 88

x = 11

So, RS = 11x - 4

RS = 11 x 11 - 4

RS = 117

Hence, the value of x is 11 and the length of side RS is 117

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Prepare for Rigid Transformations Think about what you know about geometric figures and parallel lines. Fill in each box. Use words, numbers, and pictures. Show as many ideas as you can. ​

Answers

Step-by-step explanation:

Parallel Lines are lines that do not intercept with eachother. They have the same slope yet have different y-intercepts.

Draw two lines not touching.

Example

[tex]y = 5x + 1[/tex]

[tex]y = 5x + 2[/tex]

No examples

[tex]y = 5x + 2[/tex]

[tex]y = - \frac{1}{5} x + 2[/tex]

Hope this helps!

When the number of miles driven equals 0, why is the cost per month not equal to 0? Why does the graph have a positive slope?

Answers

Answer:

I think it's because of the down payment and the positive slope because you are going to pay in installments by months.

write a explicit formula 96 24 6

Answers

Answer:

[tex]a_{n}[/tex] = 96 [tex](\frac{1}{4}) ^{n-1}[/tex]

Step-by-step explanation:

there is a common ratio between consecutive terms, that is

[tex]\frac{24}{96}[/tex] = [tex]\frac{6}{24}[/tex] = [tex]\frac{1}{4}[/tex]

this indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 96 and r = [tex]\frac{1}{4}[/tex] , then explicit formula is

[tex]a_{n}[/tex] = 96 [tex](\frac{1}{4}) ^{n-1}[/tex]

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