During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Juan's free-throw shooting percentage is lower and is only 53.5%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Juan makes when he shoots two free-throw shots.

Answers

Answer 1

Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.

For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:

[tex]E(X) = np[/tex]

In this problem:

Two shots, hence [tex]n = 2[/tex]He makes 53.5% of the shots, hence [tex]p = 0.535[/tex].

Then:

[tex]E(X) = np = 2(0.535) = 1.07[/tex]

A similar problem is given at https://brainly.com/question/24261244


Related Questions

Albert is 5 years 6 months. How old is Albert in months​

Answers

Answer:

5x12=60,+6=66

Step-by-step explanation:

Answer:

66 months

Step-by-step explanation:

12months x 5= 60

60 + 6= 66

Your friend tells you that at 1:00 pm the temperature outside was 67 degrees Fahrenheit and at 5:00 pm, that same day, the temperature was 65 degrees Fahrenheit. He also states that the average rate of change of the temperature between 1:00 pm and 5:00 pm increased by 2 degrees Fahrenheit. Determine if your friend is correct ?

Answers

Answer:

Incorrect

Step-by-step explanation:

Average rate of change is

(65 - 67) / (5:00 - 1:00)  = -½°/hr

HELP PLS ASAP!!!!!!! I WILL GIVE BRAINLIEST, 5 STARS, AND A THANKS PLS HELP

Eloise bought 2 boxes of crackers to share with her friends. Her friends ate 1/2 of the first box and 2/3 of the second box. How many boxes were left over?

A. 1/2 box
B. 3/5 box
C. 5/6 box
D. 1 2/5 box

Answers

Answer:

c

brainlest

Step-by-step explanation:

The answer is c


One half plus a third 1/2 +1/3 you change the demonator to six so you have to multiple the first one by three and the second one by two and that gives you 5/6. :)

what does (-x)+(-x)+(-x)=

Answers

Answer: -3x

Step-by-step explanation:

(-x)+(-x)=-2x

-2x+(-x)=-3x

what is x over 5 = -3 find x value

Answers

5*-3=-15

x=-15

hope this helps

Answer:

x = -15

Step-by-step explanation:

[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]

How many solutions are there to the equation below?
6x + 33 = 6(x+6)

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve ~

[tex]6x + 33 = 6(x + 6)[/tex]

[tex]6x + 33 = 6x + 36[/tex]

Here, 6x is present on both the sides of equation so they cancel out ~ therefore there is no one solution satisfying the equation ~

Answer:

there are zero solutions

\_(-_-)_/

i asked g o o g l e thats what it said

please help me mathematics = x²+2x-24=0​

Answers

Answer:

x=4

or

x=-6

Step-by-step explanation:

did you know u can solve that equation on your calculator without much struggle?

Answer:

Factors = > (x - 4) (x + 6)Value = > x = 4, -6

Step-by-step explanation:

= > x^2 + 2x - 24

= > x^2 + 6x - 4x - 24

= > x(x + 6) - 4(x + 6)

= > (x - 4) (x + 6)...ans

x = -6 , 4

Hope it helps you!!

Is y=1/2x+7 a function

Answers

No that is not a function 1/2x is equal to 2x power -1 and a power cannot be negative so it is not a function

Are the following polynomial sets open or closed? 6. (x ^ 2 + x - 4) - (x ^ 2 + x + 8) 7 (2 - x)(1 + 3x) 8. (5b - 3c)(7b - 3c)

Answers

Answer:

=5880b2x4−6048bcx4+1512c2x4−3920b2x3+4032bcx3−1008c2x3+33320b2x2−34272bcx2+8568c2x2−82320b2x+84672bcx−21168c2x−31360b2+32256bc−8064c2+6x2+6x−24

Step-by-step explanation:

What value is equivalent to 5 + [5 (4 + 2)]?
35
45
60
0110
Help pls thx

Answers

45 is equivalent to 5+[5(4+2)]

Answer:

45 5+[5(4+2)]?

Step-by-step explanation:

i hope is helped:)

y>-1/3x+2 x<4 how to solve the system of inequalities by graphing.

Answers

Answer:

See below

Step-by-step explanation:

1. Graph each inequality2. Take the intersection of shaded regions as solution

Attached each inequality separately and the solution showing the intersection below.

y > -1/3x + 2

Find the x - and y - intercepts, connect them with dotted line, shade the area above the line

x < 4

Draw a dotted line x = 4, shade the area to the left of the line

If Lauren can run
150 feet in 1/3 of
a minute. What
is her unit rate in
feet per minute?

Answers

Answer:

450

Step-by-step explanation:

150* 3

hope this helps

Answer:

450

Step-by-step explanation:

150 feet in 1/3 min

? -----  1 min

150 * 1 = x * 1/3

x = 150 * 3

= 450

I have 4 groups . After I dived Ed them into groups there were 6 groups 0f 4 and 1 group of 3. How many students were in the class ? Show all your work.

Answers

Answer: 27 students

Step-by-step explanation: 6 x 4 = 24

24 + 3 = 27

Answer:

27 Students in the class

Step-by-step explanation:

First we have to find out how many people are in the 6 groups of 4. 6x4=24

And of course 1 group of 3 people. Add them together to get 27 people.

24+3=27

There are three compartments for luggage and each compartment has a capacity of 25 pieces of luggage. The first two compartments are full up and the last one contains 8 pieces of luggage. How many pieces of luggage are there?

Answers

Answer:

the first 2 compartments have 25 so 25+25=50, and the last has 8 in it so 50+8=58

Suppose Set A contains 19 elements and Set B contains 69 elements. If the total number elements
in either Set A or Set B is 75, how many elements do Sets A and B have in common?

Answers

B u A = 48

B = 45

The part of set B not included in A is B - A∩B  = 45 - 7 = 38

Since B u A = 48,  A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).

------

Alternatively, the inclusion-exclusion principle may be used:   A  +  B  - (A ∩ B) = A u B  

  A + 45 - 7 = 48

  A  = 48 - 45 + 7  

   A = 10

NOTE that I'm using A and B  to indicate the number of elements in each set, respectively.

More formally, one would write |A|  and |B| to indicate the cardinality (number of elements) of the set.

Consider the functions f(x) and g(x). The function f(x)=2x-5 and g(x)= -f(x+1)+3. Describe the three transformations that are performed on f(x) to create g(x).
A.
1.

2.

3.

B. Sketch a graph of g(x):

Answers

Answer: 3

Step-by-step explanation:

Solve 2x-1/4 + x/3 = 2

Answers

Step-by-step explanation:

=> 2x-1/4 + x/3 = 2

=> 3(2x-1) +4x / 12 = 2

=> 6x -3 + 4x = 24

=> 10x = 27

=> x = 2.7

Answer:

x = 27/28

Step-by-step explanation:

Solve 2x-1/4 + x/3 = 2

2x - 1/4 + x/3 = 2

2x + (-1/4) + 1/3x = 2

(2x + 1/3x) + (-1/4) = 2

7/3x + (-1/4) = 2

7/3x = 9/4

3/7 * 7/3x = 3/4 * 9/4

x = 27/28

---------------------

check

2 * 27/28 - 1/4 + 27/28 *1/3 = 2

2 = 2

the answer is good

Consider the expression 8ab + 3b + 16 - 4a. (a) How many terms are there? (b) How many factors are in the first term? Identify them. (c) Which term is a constant? pls do this fast

Answers

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

read more: https://brainly.com/question/25736532?referrer=searchResults

Lucas invests $2000 per year in his retirement account for 40 years in an investment with an average annual return of 10%. Approximately how much will he have after 40 years?
A.$88,000
B.$176,000
C.$312,000
D.$975,000

Answers

The amount Lucas would have in his account is $885,000.

The formula that would be used to determine the amount of money Lucas would be in 40 years is:

The formula for calculating future value = A x annuity factor  

Annuity factor = {[(1+r)^n] - 1} / r

Where:

A = amount invested each year = $2000r = interest rate = 10%n = number of years = 40 years

$2000 x [(1.1^40 - 1) / 0.1] = $885,000

To learn more about future value, please check: https://brainly.com/question/14640433

By the way this is not my work

Answers

Answer:

Use unit converter.

Step-by-step explanation:

What’s 28,561 in expanded form

Answers

Step-by-step explanation:

2×10,000 + 8×1000 + 5×100+6×10+1

if you get it right ill mark brainliest​

Answers

Answer:

angle m1 = 40°

Step-by-step explanation:

The first angel presented to the left is 40° if you take that and flip it its the same as M1 therefore its 40°.

well given the shape, the triangle on top has to have three corners that equal 180, the 40 should have the same degree as the one directly across from it so 40+40= 80 and 180-80=100 which should be the answer but it’s not shown that it’s and answer but whatever is closest to 100 would logically make the most sense i think…

A long distance phone company charges a flat rate of $1.01 and then $0.09 for each minute. If
a call cost $9.56, how long did it last?

Answers

Answer:

30

Step-by-step explanation:

Answer:

95 minutes

Step-by-step explanation:

Deduct the flat rate from the total to see how much was spent on minutes

9.56 - 1.01 = 8.55

to get minutes divide that by the cost per minute

8.55/0.09 = 95

95 minutes

Find the distance from point $A\left(15,-21\right)$ to the line $5x+2y\ =\ 4$ . Round your answer to the nearest tenth.

Answers

The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Given the coordinate (15, -21) and the line 5x + 2y = 4

In order to get the point on the line 5x + 2y =4, we can a point on the line

Let x = 0

5(0) + 2y = 4

2y = 4

y = 2

The point (0, 2) is on the line.

Find the distance between the point (15, -21) and (0, 2) using the distance formula

[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]

Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Learn more here: https://brainly.com/question/22624745

Janice bought 4 oranges for $3.40. what is the unit price.

Answers

You have to divide 3.40/4 and the unit price
will be 0.85
3.40 divided by 4
.85 per unit


Check answer
.85 unit x 4 = 3.40

Two angles of a quadrilateral measure 325° and 10°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

The answer is 60 and 80

Step-by-step explanation:

Ella needs to buy 43 party favors that cost $2.75 each. Estimate the total cost by rounding the number of favors to the nearest ten and cost of each favor to the nearest dollar

A. $118.25
B. $120
C.$129
D.$135

Answers

Answer:

b.$120

Step-by-step explanation:

Party Favors rounded= 40

Dollars rounded= 3

40x3= 120

42 out of 56 students have cell phone. What percent of students said they owned a cell phone

Answers

Answer:

75%

Step-by-step explanation:

now we can see that our fraction is 75/100 which means that 42/56 as a percentage is 75%

need help on the question

Answers

whats the question??

Answer:

what's the question?

Step-by-step explanation:

I'd love to help but i don't see a question...

Trey has bought 10 pounds of dog food. He feeds his dog
pounds for each meal. For how many meals will the food last?

Write your answer in simplest form

Answers

how many pounds does he feed his dogs for each meal?

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