Sam is practising free-throws in basketball. She has a 2/3 chance of scoring each time she shoots from the free-throw line. (You should assume that the probability of scoring for each shot is independent of the result of other attempts.)
What is the expected value of the number of free-throws that Sam will score before her first miss?
What is the variance of the number of free-throws that Sam will score before her first miss?

Answers

Answer 1

The variance of the number of free-throws that Sam will score before her first miss is 3/4.

To find the expected value and variance, we need to use the concept of geometric distribution. The geometric distribution models the number of trials needed to achieve the first success in a series of independent Bernoulli trials, where each trial has the same probability of success.

In this case, Sam has a 2/3 chance of scoring each time she shoots from the free-throw line. So the probability of success (scoring) in each trial is p = 2/3, and the probability of failure (missing) is q = 1 - p = 1/3.

The expected value of a geometric distribution is given by E(X) = 1/p, and the variance is given by Var(X) = q / p^2.

Calculating the expected value:

E(X) = 1/p = 1 / (2/3) = 3/2 = 1.5

So the expected value of the number of free-throws that Sam will score before her first miss is 1.5.

Calculating the variance:

Var(X) = q / p² = (1/3) / (2/3)² = (1/3) / (4/9) = 3/4

So the variance of the number of free-throws that Sam will score before her first miss is 3/4.

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Related Questions

If Tammy has 5 credit cards that are all maxed out, a bank could deny her a loan to buy a house based on her __________. ​

Answers

Answer:

access to credit I think

Step-by-step explanation:

I don't know the options but if all her cards are maxed out, she must have horrible credit.

The bank can deny Tammy a loan to buy a house based on her access to credit.

Given that:

Tammy has 5 credit cards.

All of the 5 credit cards are maxed out, which means that all the credit cards have reached the limit of the card and the payment has to be fully paid at the earliest.

The credit scores of one person will be affected when the credit limits are reached and the payment has not been done.

For financial services like loans, credit limits are all important.

So, the bank can deny the service based on the access to credit.

Hence the correct option is A.

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The complete question is:

If Tammy has 5 credit cards that are all maxed out, a bank could deny her a loan to buy a house based on her __________. ​

A) Access to credit

B) Education history

C) Employment history

D) Delinquent payments

What is the answer to this problem?

What is the answer to this problem?

Answers

Answer:

inequality

Step-by-step explanation:

Guys I need help is this right?​

Guys I need help is this right?

Answers

The domain of the function in this situation as required in the task content is; Choice C; {0, 1, 2, 3, 4, 5, 6}

What is the domain of the function for this situation?

It follows from the task content that the domain of the function described by the situation is to be determined.

Since the domain is the set of all possible input values, otherwise termed the independent variable, x.

It follows that since the carton can hold from 0 to 6 books; the domain is; Choice C ; {0, 1, 2, 3, 4, 5, 6}

Please Note: The set of all possible output values of a function, otherwise termed the dependent variable, y is called the Range.

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Help ASAP, mathematics trig

Help ASAP, mathematics trig

Answers

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = \(\frac{opposite}{adjacent}\) = \(\frac{7}{4}\) , then

θ = \(tan^{-1}\) (\(\frac{7}{4}\) ) ≈ 60° ( to the nearest degree )

Write the log equation as an exponential equation. You do not need to solve for x.

Answers

Given a log function log₅ₓ (x) = 7/2. Its exponential equation is (5x)^(7/2) = x or x^(5/2) = 1/125√5

Logarithmic function is an inverse of exponential function. The relation between logarithm and exponent is given by:

exponent form:   y = aˣ

logarithmic form: x = logₐ y

Those two equations are equivalent. The constant a is called "base".

Example:

y = 2³  (exponent form)

x = log₂8 (logarithm form)

In the problem, the logarithm function is:

log₅ₓ (x) = 7/2

Hence, the exponential form is:

(5x)^(7/2) = x

5^(7/2) · x^(7/2) = x

x^(5/2) = 1/125√5

Your question is incomplete. Most likely it was:

Write the log equation as an exponential equation. You do not need to solve for x.

log₅ₓ (x) = 7/2

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Mary earns $19.28 an hour for a regular 40-hour week and overtime rate is double for weekend work. Last week she worked 40 hours plus 9 hours of overtime on the weekend. Find the total pay.

Answers

Therefore, Mary's total pay for the week is $1,118.24.

To find out the total pay of Mary for the week, we need to add up her regular pay and her overtime pay.

Regular Pay = $19.28 x 40 hours = $771.20

For overtime, Mary's rate is double, so we can calculate her overtime pay by multiplying her regular hourly rate by 2.Overtime Pay = $19.28 x 2 = $38.56 per hour

Mary worked 9 hours of overtime, so her total overtime pay will be:

Overtime Pay = $38.56 x 9 = $347.04

Now, we can find the total pay by adding up her regular pay and overtime pay:

Total Pay = Regular Pay + Overtime PayTotal Pay = $771.20 + $347.04

Total Pay = $1,118.24

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For which value of k does the system {4x+y=3kx+y=−2 have no solutions?

Answers

Answer:

x= -1/2 + 1/6k

y= -2/3k, k=/ 0

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?
2 units left and 3 units up
2 units left and 3 units down
OOO
2 units right and 3 units up
2 units right and 3 units down

Answers

Answer:

C : 2 units right and 3 units up.

Step-by-step explanation:

Took this test before, this is the correct answer!

Function translations involve changing the position of a function

The true statement is: (c) 2 units right and 3 units up.

The functions are given as:

\(\mathbf{y = (x + 2)^2}\)

\(\mathbf{y = x^2 + 3}\)

First, the function is translated right by 2 units.

So, we have:

\(\mathbf{y = (x + 2 - 2)^2}\)

\(\mathbf{y = x^2}\)

Next, the function is translated up by 3 units.

So, we have:

\(\mathbf{y = x^2 + 3}\)

Hence, the true statement is (c)

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Find the value of x.

A
B
8
X
4
3
D
x = [?]
C

Find the value of x.AB8X43Dx = [?]C

Answers

Answer:

6

Step-by-step explanation:

4 x 3 = 12

8 x 3 = 24

12 / 4 = 3

24 / 4 = 6

x must be 6

The measure of Vis 94°. What is the measure of _XYZ, the tangent-chord angle? O A. 440 X O B. 47° C. 1889 2 Z O D. 940​

The measure of Vis 94. What is the measure of _XYZ, the tangent-chord angle? O A. 440 X O B. 47 C. 1889

Answers

Answer:

B

Step-by-step explanation:

the tangent- chord angle XYZ is half the measure of its intercepted arc XY

∠ XYZ = \(\frac{1}{2}\) × 94° = 47°

Answer:

I think that the correct answer would be B. 47 degrees

Step-by-step explanation:

hope this helps

pls mark brainliest


PLEASE ANSWER IN HANDWRITING AND FORMULAS! SHOW WORK
COMPLETELY! I WILL GIVE THUMBE UP!
4. If you deposit money today in an account that pays 4.5 % annual interest, how long will it take to double your money?

Answers

I apologize, but as a text-based AI model, I am unable to provide handwritten answers or show work in form of formulas. To determine annual interest rate of 4.5%, we can use compound interest formula.

To determine how long it will take to double your money with an annual interest rate of 4.5%, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (double the initial amount)

P = Principal (initial amount)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Time (in years)

In this case, we want to find the value of t. Let's assume the initial amount is P, and the final amount is 2P (double the initial amount). Substituting these values into the formula, we have:

2P = P(1 + 0.045/n)^(nt)

To solve for t, we can divide both sides of the equation by P and simplify:

2 = (1 + 0.045/n)^(nt)

Taking the natural logarithm (ln) of both sides of the equation:

ln(2) = nt ln(1 + 0.045/n)

Now, we can solve for t:

t = ln(2) / (n ln(1 + 0.045/n))

The value of n will depend on how frequently the interest is compounded (e.g., annually, semi-annually, quarterly, etc.). By substituting the appropriate value for n and evaluating the expression, you can determine the time it will take to double your money.                                              Note: If you provide the specific compounding period, I can assist you in calculating the exact time it takes to double your money.

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What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2

No links please. Will give Brainlest on who is right. (This gamer girl is bad at math uwu)

What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2No links please. Will

Answers

Answer:

1

Step-by-step explanation:

what is the value of x for this equation √6x-9=x

Answers

The value of x is 3.

What is the quadratic question?

A quadratic equation is any equation that can be rearranged in a standard form where x represents an unknown value and a, b, and c represent known numbers. In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

Given the equation √6x-9 = x, we need to find the value of x;

Square both sides of the equation:

(√6x-9)² = x²

6x-9 = x²

x² - 6x + 9 = 0

x² - 3x + 3x + 9 = 0

x(x - 3) -3(x - 3)

(x - 3)  (x - 3)

x = 3

Hence, the value of x is 3.

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The measure of RST can be represented by the expression (10x+18). What is m RST rounded to the nearest hundredth?

The measure of RST can be represented by the expression (10x+18). What is m RST rounded to the nearest

Answers

Answer: 90.86

i got this questions

which expresion is equivalent to 43f +{17f+2}

Answers

Answer:

60f + 2

If there is an answer choice like that

..................... ​

.....................

Answers

Answer:

sorry you questions is no clear

The constant growth dividend valuation model assumes
A. a constant annual dividend.
B. a constant dividend growth rate for no more than the first 10 years.
C. that the discount rate must be greater than the dividend growth rate.
D. that the dividend growth rate must be greater that the discount rate.
E. A and B are true assumptions

Answers

Therefore, the answer is E. A and B are true assumptions.

The correct answer is E. A and B are true assumptions.What is the constant growth dividend valuation model?The constant growth dividend valuation model is used to calculate the intrinsic value of a stock based on the assumption that dividends will increase at a constant rate indefinitely. The model values a stock's current price based on the amount of future dividends it is expected to pay. The constant growth dividend valuation model is sometimes referred to as the Gordon Growth Model.What assumptions does the constant growth dividend valuation model make?The constant growth dividend valuation model assumes that:A. a constant annual dividendB. a constant dividend growth rate for no more than the first 10 yearsTherefore, the answer is E. A and B are true assumptions.

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x2−y+1 when x=5 and y=6

Answers

Answer:

20

Step-by-step explanation:

x^2 -y +1

Let x =5 and y = 6

5^2 -6+1

25-6+1

19+1

20

someone help :
log4(5x+2)=5x

Answers

X=-8/15

hopefully that helps

A slab 150 PCF concrete is to be poured 20 feet above an existing floor at depth of 6 inches at a temp of 90 degrees and a pure rate of 10 feet per hour. what is the expected VERTICAL load? a) 943.333 PSF b) 943.333 PCF c) 150 PSF d) 75 PCF e) 75 PSF

Answers

The correct answer to the question is option d) 75 PCF.

To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).

The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.

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50% of 25% is the number. What is the number?

Answers

Answer:

1/8

Step-by-step explanation:

50/100 * 25/100

1/2 * 1/4 = 1/8

heyy! i’ll give brainliest please help

heyy! ill give brainliest please help

Answers

It is an institution

Answer:

Its an institution

Step-by-step explanation:

A college is not a region, state or country. It is an institution.

Evaluate the expression when a = 9, b = 2, c = - 6 and d= -4
a-b
c-d

Answers

Answer:

1. 9-2=7

2. -6-(-4)=-2

Step-by-step explanation:

a=9

b=2

c=-6

d=-4

A scatter plot is shown on the coordinate plane.

scatter plot with points at 1 comma 3, 2 comma 5, 3 comma 4, 3 comma 7, 4 comma 9, 5 comma 5, 6 comma 7, and 9 comma 7

Which two points would a line of fit go through to best fit the data?

(1, 3) and (9, 7)
(1, 3) and (4, 9)
(2, 5) and (6, 7)
(2, 5) and (5, 5)

Answers

Answer:

Plot the points on the graphing calculator. Then generate a linear regression equation. That equation is

y = .4039x + 4.2089

The two closest points to this line are

(2, 5) and (6, 7).

.4039(2) + 4.2089 = 5.0167

.4039(6) + 4.2089 = 6.6323

Describe people’s opinions using different verbs. Write at least 5 sentences.
PLEASE HELP I POSTED FOR THE 7TH TIME NO ANSWER WILL GIVE BRAINLIEST

Describe peoples opinions using different verbs. Write at least 5 sentences.PLEASE HELP I POSTED FOR

Answers

Answer:

A mi encantar el arte.

A mis padres interesar el traje.

A ti importar las botas.

A Emelio encantar los deportos.

A Nosotros interesar viajar.

Rafael, Denise, and Philippe are doing a project together. They decide to base the project on a book that is 540 pages long. Rafael plans to read a certain number of pages. Denise will read Three-fourths of the number of pages Rafael reads, and Philippe will read One-half of the number of pages that Rafael reads. How many pages will Rafael read?

Answers

Answer:

Rafael will read 240 pages

Answer:

240

Step-by-step explanation:

-5x+(- 15 ) = 20

distributive property

Answers

Answer:

-5x+(- 15 ) = 20

x=-7

Step by Step

-5x+(-15)= 20 becomes

-5-15=20 add 15 tp (15 and 20)

-5x=35 ( divide by 51

x=-7

-5x+(-15)=20 x=-7 that is true

geometry unit exam a garden wall is 4 feet in height and has a 6-foot shadow. a tree in the garden casts a 24-foot shadow at the same time of day. what is the height of the tree?

Answers

The height of the tree is 16 feet if it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.

The shadows at the same time of the day can be compared for the garden wall and a tree as follows;

tree shadow / tree height = wall shadow / wall height

As the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;

24 / x = 6 / 4

Here x represents the height of the tree

Solving for x;

24 / x = 1.5

24 = 1.5 x

x = 24 / 1.5

x = 16

Therefore the height of the tree is calculated to be 16 feet.

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The height of the tree is 16 feet when it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The shadows at the same time of the day can be compared for the garden wall and a tree is given by;

tree shadow / tree height = wall shadow / wall height

Since we know that the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;

24 / x = 6 / 4

Here x represents the height of the tree

Solving for x,

24 / x = 1.5

24 = 1.5 x

x = 24 / 1.5

x = 16

Therefore, the height of the tree is calculated to be 16 feet.

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4x + 6 = -x +1
what's x?​

Answers

Answer:

x=-1

Step-by-step explanation:

find the circumference and the area of the circle with a diameter of 15ft​

find the circumference and the area of the circle with a diameter of 15ft

Answers

Answer:

Circumference is pi times diameter so that would equal 15 pi. The formula to find the area of a circle is A=pi * r^2 So you divide 15 by 2 to find the radius. r=7.5 Then you square it and multiply it by pi and get 56.25pi which is about equal to 176.715

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