A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, what is the probability of this player missing a free throw for the first time on the fifth attempt

Answers

Answer 1

Answer: 0.08192

Step-by-step explanation:

Given: Probability of free throws = 0.80

Then, probability of missing the free throw = 1-0.80=0.20

Now, According to the negative binomial probability distribution, the probability that the rth success is achieved in xth trial is given by ;-

[tex]P(X=x)= pC_{r-1}^{x-1}p^{r-1}(1-p)^{(x-r}[/tex]

Put p = 0.20 , x=5 and r =1, we get

The probability of this player missing a free throw for the first time on the fifth attempt as [tex](0.20)\ ^{5-1}C_{1-1}(0.20)^{1-1}(1-0.20)^{5-1}[/tex]

[tex]= (0.20)\ ^{4}C_{0}(0.20)^{0}(0.80)^{4}\\\\=(0.20)(1)(0.80)^4\\\\=(0.20)(0.4096)\\\\=0.08192[/tex]

hence the required probability =0.08192

Answer 2

Answer:0.08912

Step-by-step explanation:


Related Questions

3(x-5) – 1/2(10x + 10) I don’t understand and I need the answers

Answers

Answer:3x-15-5x-5

-2x-20

Step-by-step explanation:

Answer:

-2x-20

Step-by-step explanation:

Expand 3(x-5) : 3x-15

Do not forget there is a subtraction sign in the middle.

Expand 1/2(10x+10) : 5x+5 : 5(x+1)

= 3x - 15 - 5(x+1)

Expand -5(x+1) : -5x-5

= 3x-15 - 5x - 5

Simplify 3x-15-5x-5 by adding like terms: -2x-20

= -2x-20

what is the answer to 0.15 = y - 0.45

Answers

Answer:

0.6

Step-by-step explanation:

curtis divided 27.16 by 2.8 in Got 0.97 is his answer reasonable why or why not

Answers

Given :

Curtis divided 27.16 by 2.8 and got 0.97 .

To Find :

Is his answer reasonable why or why not.

Solution :

When we divide 27.16 by 0.97 we will get 9.7.

So, Curtis did a calculation error of decimal and his answer is not acceptable.

Hence, this is the required solution.

If UV=5x, VW = 8x - 17, and UW = 11x+11, what is UW

Answers

Answer:

UW=165

Step-by-step explanation:

UV + VW =UW

5x + 8x-17= 11x +11

13x - 17 = 11x + 11

Subtract 11x and add 17 to both sides:

2x= 28

Divide 2 both sides:

x=14

Plug in x to the equation of UW:

11 (14) +11

165

What is the value of x, when -25(x - 4) = -55(x - 10)?

Answers

Answer:

-25(x - 4) = -55(x - 10)

-25x+100= -55x+550

-25x+55x=550-100

30x=450

x=15

Answer:

x= 15

Step-by-step explanation:

Step 1- Distribute into the parenthesis

-25x-(-25)4= -55x-(-55)10

Step 2- Multiply to simplify

-25x+100= -55x+550

Step 3- Add -55x to both sides

-25x+100= -55x+550

+55x          +55x

Step 4- Subtract 100 to both sides

30x+100= 550

      -100   -100

Step 5- Divide both sides by 30

30x= 450

30     30

x= 15

Which procedures are examples of Descartes’s rules for scientific reasoning?

Answers

Keeping a detailed record of the procedure and results of a scientific experiment

Conducting an experiment to confirm the effects of gravity on Earth

Solving an expression in steps using the order of operations

Answer:

keeping a detailed record of the procedure and results of a scientific experiment

conducting an experiment to confirm the effects of gravity on Earth

solving an expression in steps using the order of operations

Step-by-step explanation: Edu

27 mm converted to in m

Answers

1.063 inches

0.027 meters

hope it helps!

please help i can’t do this and it’s due today please help !!

Answers

Answer:

go 3 squares to the side and 2 squares up?

Hey can some please help it's due today thanks!!!

Darnell thinks that -4 is less than -6 because 4 is smaller than 6, and -4 is closer to 0 than -6 is. Explain why Darnell is incorrect.

Answers

Answer:

Darnell is incorrect because negative numbers are different than positive numbers. -4 is greater than -6 because it is closer to 0. Which means that it is closer to the positives. :) The biggest negative number is always going to be less than the smaller negative number. :)

Step-by-step explanation:

Answer:

Darnell is incorrect because she is thinking about positive numbers instead of negative numbers.

Step-by-step:

-6  -5  -4  -3  -2  -1  0  1  2  3  4  5  6

 

If your exponent on your power 10 is positive, is your number larger or smaller than 10?

Answers

Answer:

See below.

Step-by-step explanation:

The number maybe less than 10, equal to 10, or larger than 10.

Examples:

A.

exponent: 1/2

10^(1/2) = sqrt(10)           (less than 10)

B.

exponent: 1

10^1 = 10                  (equal to 10)

C.

exponent: 2

10^2 = 10 * 10 = 100          (larger than 10)

Simplify by combining like terms -10+2(3x-1)+1

Answers

Answer: -11+6x

Step-by-step explanation:

Understand PEMDAS method (Operates from left to right)

ParenthesisExponentsMultiplication and DivisionAddition and Subtraction

SOLVE:

Given

-10+2(3x-1)+1

Expand parenthesis

-10+6x-2+1

Use PEDMAS method

-10-2+1+6x

-12+1+6x

-11+6x

Hope this helps!! :)

HELPPPP PLEASE !!! I do not get this someone help

Answers

Answer:

20

Step-by-step explanation

not sure but looks like you need help as fast as possible here my answer the way i thought about is you have 70 degree angle and y looks like a right angle which = 90 degree

x = 180 - 70+90

x = 180 - 160

x = 20

The value of the angle x for the given triangle will be 20°.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle,

m∠y = 90°

The exterior angle = sum of two interior angles except for the adjacent angle of the exterior angle.

110° = x + y

110° = x + 90°

m∠x = 20°

Hence "The value of the angle x for the given triangle will be 20°".

For more about triangles,

https://brainly.com/question/2773823

#SPJ2

Suppose 7 ​quarters, 4 ​dimes, 4 ​nickels, and 3 pennies are in a box. One coin is selected at random. What is the expected value of the money drawn from the​ box?

Answers

First, let's get the total amount of coins inside the box.

7 quarters + 4 dimes + 4 nickels + 3 pennies = 18 total coins.

(7 quarters / 18 coins) * 100 = 38.89% chance of picking a quarter

(4 dimes / 18 coins) * 100 = 22.22% chance of picking a dime

(4 nickels / 18 coins) * 100 = 22.22% chance of picking a nickel

(3 pennies / 18 coins) * 100 = 16.67% chance of picking a dime

Since the quarters have a higher percentage of being picked, we can expect to draw $0.25 from the box

is y=x 4th power
a function

Answers

Answer:

Yes.

Step-by-step explanation:

It satisfies our definition of a function. For every x, there is one and only one value of y.

Hope that helped.

An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of the congruent angles. An equation is = 180.
Angles congruent with each measure.

Answers

Answer:

26 degrees

Step-by-step explanation:

180-138=52

52/2=26

You buy 2 pairs of shoes for $14 each. You give the cashier $29. Which of the following is a good estimation of the change you will get back?

Answers

Answer:

Hey there!

A good estimation is one dollar.

2 pairs of shoes for 14 dollars= 28 dollars

29-28=1 dollars.

Hope this helps :)

Does this graph represent a function? Why or why not?

Answers

Answer:

D

Step-by-step explanation:

There are no two points on the same line so the answer is D

I hope this is right!

Answer: It's B

Step-by-step explanation:

Sally took 3 tests. Her average on these tests will give her her grade. Find Sally’s grade.
Scores: 65 90 85

Answers

Answer:

80

Step-by-step explanation:

Add up all 3 and divide by 3 (how much numbers there are) 65+90+85=240÷3=80

Write each expression in simplest form.
3d + 6d
2 + 55-4
2z+3-92-8

Answers

Answer:

9d

53

2z-97

Step-by-step explanation:

Its basically just simplification btw.

pingu!

Please help alg 2 will give you a brainlist!!

Answers

Answer:

y = 4/3

Step-by-step explanation:

the expression can be written as,

(x^8)^1/3 divided by (x^4)^ 1/3

so by using the rules of powers we can deduce y = 4/3

The rules are,

1. (x^y)^z = X^y*z

2. x^y * x^z = x^ y+z

3. x^y / x^z = x^ y-z

Hence,

8/3 -4/3 = 4/3

Convert to use rational exponents: [tex]\sqrt[3]{2}\sqrt[5]{2}[/tex]

Answers

The answer is 16 two

if m+n=0, what is the value of n?

Answers

Answer: n= 0 - m

Step-by-step explanation:

To find value of n, isolate it by subtracting m from both sides.

______is 15% of $84,652?

Answers

Answer: $12,697.80

Step-by-step explanation:

To find 15% of $84,652, you want to multiply them together.

0.15×84,652=12,697.80

Now, we know that $12,697.80 is 15% of $84,652.

2. Graph the inequality.
y<- 3x-2

Answers

Answer:

(2,-8)  (0,-2)

Step-by-step explanation:

y=mx+b
M= slope
B= y-intercept

-2 is the y-intercept (0,-2), plot those coordinates

-3x is the slope
- slope is -3/1
- top number depicts if you go up or down, (-) go down and (+) go up
- the bottom number you go to the right

So, from (0,-2) go down three and to the right one

Graph a dotted line since it is

What is the domain and range for y=x3 – 4x² + x + 6

Answers

Answer:

Domain: set of Real numbers

Range{ set of Real numbers

Step-by-step explanation:

Since this is a cubic function, its domain and range are both the set of Real numbers.

The domain of any polynomial function is the set of Real numbers, And as far as the Range, we decide based on its end-behavior: since this is a polynomial with leading term [tex]x^3[/tex], then it has the property of getting to infinitely large values for increasing values of x, and infinitely negative values for decreasing values of x.

if the image of (x,y)(x-1,y+2) is a (-5,2)what is the pre-image ,or a?

Answers

Answer:

the pre-image is ( -4, 0)

Step-by-step explanation:

Simply apply the appropriate transformation to each coordinate by using the information they give you:

x was converted via the transformation x -1 leading to the value -5,

so we write:

x - 1 = -5

and solve for x:

x = -5 + 1 = -4

y was converted via the transformation y + 2 leading to the value 2, so we write:

y + 2 = 2

and solve for y:

y = 2 - 2 = 0

Therefore the pre-image of the point is: ( -4, 0)

Given: 2q – r = 4p, 2r = q, r = 2p; Prove: q = r

Answers

Answer:

q = r

Step-by-step explanation:

Explanation:-

Given    2q – r = 4p ...(i)

                  2r = q...(ii)

                  r = 2p ...(iii)

Substitute 2r = q in equation (i)

              2(2r) – r = 4p

                     3 r = 4 p

                   2 r + r = 4 p

                   2 r + 2 p = 4 p

                  2 r = 2 p

                   q = r

         

What’s the value of the 8 in 2,983,785

Answers

Answer:

ten and ten thousands

Step-by-step explanation:

The first 8 is put in the 2nd place for the right meaning that it is in the tens place, the second 8 is in 5th place from right which means that it is at ten thousands place, Hope this answer helped.

Can somebody help me out on this question I would really appreciate it so much . Please and thank you .

Answers

Step-by-step explanation:

AB = AC, so mark the two sides with single tick marks.

m∠ACD = 128°, so label the angle 128°.

∠ACB is supplementary to ∠ACD, so:

m∠ACB + m∠ACD = 180°

m∠ACB + 128° = 180°

m∠ACB = 52°

ΔABC is an isosceles triangle, so m∠B = m∠ACB.

m∠B = m∠ACB

m∠B = 52°

Angles of a triangle add up to 180°, so:

m∠A + m∠B + m∠ACB = 180°

m∠A + 52° + 52° = 180°

m∠A = 76°

The sum of two numbers is 82. One number is three less than four times the other. Find the two numbers.

Answers

Answer:

17 , 65

Step-by-step explanation:

x+ y = 82

y = 4x - 3

=====================

Put the second equation into the first.

x + 4x - 3 = 82

5x = 85

x = 85/5

x = 17

17 + y = 82

x = 82 - 17

x = 65

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