Suppose an NBA basketball player shooting an un- contested 2-point shot will make the basket with probability 0.6. However, if you foul the shooter, the shot will be missed, but two free throws will be awarded. Each free throw is an independent Bernoulli trial with success probability p. Based on the expected number of points the shooter will score, for what values of p may it be desirable to foul the shooter?

Answers

Answer 1

Answer:

For values of p < 0.6, it may be desirable to foul the shooter.

Step-by-step explanation:

Suppose an NBA basketball player shooting an un- contested 2-point shot will make the basket with probability 0.6.

This means that the amount of points he expects to score with the ball in his hand is:

2*0.6 = 1.2

Based on the expected number of points the shooter will score, for what values of p may it be desirable to foul the shooter?

The expected number of points he will score with these free throws is:

2p

In which p is the probability of making the free throw.

If will be desirable to foul the shooter is:

[tex]2p < 1.2[/tex]

[tex]p < \frac{1.2}{2}[/tex]

[tex]p < 0.6[/tex]

For values of p < 0.6, it may be desirable to foul the shooter.


Related Questions

Find the value of x

Answers

Answer:

x=13

Step-by-step explanation:

Since both angles are vertical angles and are therefore congruent, the expression is equal to 114.

7x+23=114

Subtract 23 from both sides.

7x=91

Divide both sides by 7.

x=13

Six trigonometric functions of -315.

Answers

Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

m
ABCDE ~ QRSTV
Find the missing side length, m.
S
C С
6
B В
D
R
T
8
8
12
A 8
E
12
V
m = [?]
12
Enter
please help fast :/ i’ll give you brainliest!!

Answers

Answer:

m=9

Step-by-step explanation:

[tex]\frac{AB}{QR} =\frac{CD}{ST} \\\\\frac{8}{12}=\frac{6}{m} m=\frac{6*12}{8} \\\\m=9[/tex]

hope it helps...

Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.1 cm thick, and the metal in the sides is 0.05 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it encloses. The differential for the volume is

Answers

Answer:

dV ≈ 927.4 cm³

Step-by-step explanation:

Formula for volume of a cylinder is;

V = πr²h

Using differentials, we have;

dV = (dV/dr)dr + (dV/dh)dh

Now, dV/dr = 2πrh

dV/dh = πr²

Thus, at r = 24/2 = 12 cm

And at h = 60 cm, we have;

dV/dr = 2π(12 × 60)

dV/dr = 4523.89 cm²

Also;

dV/dh = π(12)²

dV/dh = 452.39 cm²

the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2

the metal in the sides is 0.05 cm thick. Thus; dh = 0.05

Thus;

dV = (4523.89 × 0.2) + (452.39 × 0.05)

dV ≈ 927.4 cm³

Find the perimeter of the figure.

Answers

Answer:

Well I’m not sure what you want but I’ll give you both,

The perimeter is 25 units

The area is 28.5 units ^2

Step-by-step explanation:

Well to find perimeter just count every unit which is what I did and got 25 units.

To find the area jsut split them into two shapes and find the area for both.

Triangle formula: bh/2

Rectangle: Lw

Well we have 3 for base and 3 for height.

3*3=9

9/2=4.5

4.5 is the triangle

We got 3 for width and 8 for length

3*8=24

24 is the rectangle

Add them up

24+4.5= 28.5

28.5 units

Answer:

28.5?

Step-by-step explanation:

I did this a while ago in 5th grade

Two mathematical questions attached below.

Answers

Answer:

See below

Step-by-step explanation:

[tex]9.( {m}^{3} {n}^{5} )^{ \frac{1}{4} } \\ = m^{\frac{3}{4}}n^{\frac{5}{4}}\\ \\ 10. \sqrt[5]{ \sqrt[4]{x} } \\ = \sqrt[5]{ {x}^{ \frac{1}{4} } } \\ = {( {x}^{ \frac{1}{4} } )}^{ \frac{1}{5} } \\ = {x}^{ \frac{1}{4} \times \frac{1}{5} } \\ = {x}^{ \frac{1}{20} } \\ \\ \sqrt[5]{ \sqrt[3]{ {a}^{2} } } \\ = \sqrt[5]{ {a}^{ \frac{2}{3} } } \\ = {( {a}^{ \frac{2}{3} } )}^{ \frac{1}{5} } \\ = {a}^{ \frac{2}{3} \times \frac{1}{5} } \\ = {a}^{ \frac{2}{15} } [/tex]

Combine the like terms to create an equivalent expression
−5j+(−2j)+3

Answers

Answer:  -7j+3

Step-by-step explanation:Simplify

..........................help

Answers

Do 180-110-30 and you will get your answer

Solve the inequality
7x + 4) > 0.

Answers

Answer:

Step-by-step explanation:

7(x + 4) > 0

x+4 > 0

x > -4

Answer:

x>4

Step-by-step explanation:

7(x+4)>0

distrubute

7x+28>0

subtract 28 from both sides

7x>28

divide both sides by 7

x>4

Hope that helps :)

The ———— is used to determine the left-hand and right-hand behavior of the graph of a polynomial function.

--Select-
Behavior Test
t Answ Polynomial Test
Odd Degree Test
Horizontal Line Test
Leading Coefficient Test
Dints] Distinct Zero Test
Even Degree Test
Vertical Line Test
AT10 3.2.001.

Answers

Answer:

I think it is the vertical line test. If you have any other questions let me know! :)

Someone please help me, i will give brainliest
Enter the decimal equivalent of 11/8

Answers

Answer:

1.37

Step-by-step explanation:

I just used my calculator lol

Divide. 21,900 / 25. Enter the exact quotient


Help me

Answers

Answer:

107 %

3 %

100 /8

Step-by-step explanation:

The exact quotient is 876.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

21,900 / 25

Now,

Using long division,

25 ) 21,900 ( 876

      200

         190

         175

           150

            150

              0

We see that,

The quotient is 876.

Thus,

The exact quotient is 876.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Hey please help i will mark you brainliest I need help honestly

Answers

The perimeter of it is 72

I need help. what is 2e=2

Answers

Answer:

e=1

Step-by-step explanation:

2e=2

Divide both sides by 2

2e/2=2/2

Simplify

e=1

ANSWERED by NONE other than the #QUEEN herself aka #DRIPPQUEENMO!!

HOPE THIS HELPED!!

e=1

Another step:
2e is 2xe, so the opposite of multiplying is dividing.

You could do it another way is to take the 2 from the e and write it under the other 2 as a fraction and there’s the answer. Then you reduce it

In a sample of 800 adults, 218 think that most celebrities are good role models. Two adults are selected from this sample without replacement. Find the probability that neither adult think celebrities are good role models

Answers

Answer:

582/800 * 581/799

brr i do NOT want to calculate that

14. circunferencia = 7.3 m (calcular
el radio ) *

Answers

Answer:

radius =1.1618m

Step-by-step explanation:

circumference of circle =7.3m

2πr=7.3

r=7.3/(2π)=1.1618m

Please help me ASAP
Please help

Answers

Answer:

5 X 4

Step-by-step explanation:

If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.

Hope this helped!!

What is the scale factor from ABC to DEF

Answers

Answer:

Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC

Step-by-step explanation:

Describe the graph of y=-x and compare it with the graph of y = x

Answers

Y=-x is a negative slope starting from the left of the graph and going downwards by one. Y=x is a positive slope that goes up from left to right by one.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent. If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Answers

Answer:

Probability that at least 490 do not result in birth defects = 0.1076

Step-by-step explanation:

Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.

To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects

Proof -

Given that,

P(birth that result in a birth defect) = 1/33

P(birth that not result in a birth defect) = 1 - 1/33 = 32/33

Now,

Given that, n = 500

X = Number of birth that does not result in birth defects

Now,

P(X ≥ 490) = [tex]\sum\limits^{500}_{x=490} {^{500} C_{x} } (\frac{32}{33} )^{x} (\frac{1}{33} )^{500-x}[/tex]

                 = [tex]{^{500} C_{490} } (\frac{32}{33} )^{490} (\frac{1}{33} )^{500-490}[/tex]  + .......+ [tex]{^{500} C_{500} } (\frac{32}{33} )^{500} (\frac{1}{33} )^{500-500}[/tex]

                = 0.04541 + ......+0.0000002079

                = 0.1076

⇒Probability that at least 490 do not result in birth defects = 0.1076

PLEASE, SOMEONE, ANSWER THESE PLEASE THE ONE WITH THE CORRECT ANSWER WILL GET A LIKE AND THE CROWN BOTTON

Answers

Answer:

20,90 for the first one

50% for second one

can someone help me, please

Answers

Answer:

3. 108.982 feet per second

so yes faster than 100 feet per second

4.

5. 46.336°

6. 31.999°

7. 73.301°

8. 18.435°

Step-by-step explanation:

3. tan(16)= 250/x

x=250/tan(16)

x= 871.853611

speed=871.853611/8

= 108.982 feet per second

so yes faster than 100 feet per second

4. I do not understand the formulation of the question

5. sinx= 3.4/4.7

asin*(to the power of -1)*(3.4/4.7)=x

x=46.336

6.tanx=4,532/7253

atan*(power -1)* (4,532/7253)=x

x=31.999

7.tanx=500/150

x=73.301

8. tanx=30/10

atan(30/10)=x

x=71.56505118

90-71.56505118=18.43494882(the final angle)

write the equation of the line passing through -1,3 that is parallel to y=4x-7 AND. write the equation of the line (y=-1/4x+9) passing through the given point (3,-7) that is perpendicular to the given line

Answers

Answer:

I hope that helped

Step-by-step explanation:

3x+4y=-5

6x+2y=8

7x+y=0

4x-5+y=0

Given y = alog(x + c) + d. What would happen to the graph if you changed the value of d? Describe both positive and negative
values.
A)
B)
Changing the value of d would cause a vertical stretch or shrink. A negative
value would also cause a reflection over the x-axis.
Changing the value of d would cause a horizontal stretch or shrink. A
negative value would also cause a reflection over the y-axis.
Changing the value of d would move the graph up and down (vertically). A
positive d value would move the graph up and a negative d value would
move the graph down.
Changing the value of d would move the graph left and right (horizontally).
A positive d value would move the graph right, and a negative d value
would move the graph left.
C)
D)

Answers

Answer: A

Step-by-step explanation:

I just took the USATESTPREP quiz and that is the answer.

 Option (C) will define the changes in the graph of the function with the values of 'd'.

 Given function in the question → y = alog(x + c) + d

Rules for the translation of a function,

If a function y = f(x) is shifted 'h' units upwards on y-axis, rule for the translation will be → y = f(x) + hIf the function y = f(x) is shifted 'h' units downwards, rule for the translation → y = f(x) - h

 Hence, in the given function y = alog(x + c) + d, positive value of 'd' will define the shifting of the parent function upwards.

And for the negative value of 'd' will define the shift of the function downwards.

     Option (C) will be the correct option.

Learn more,

https://brainly.com/question/16770247

I need this thank you please help

Answers

Answer:

Step-by-step explanation:

This is not a function.

A function has to have 1 y associated with each x. This relationship has 2 except for 1 point (the vertex at 3,0).

You can write a domain and range for it.

The domain is

- infinity < x < 3

The range is

-infinity  < x < + infinity.

3. A pharmacist needs a blend of chemical containing 35% of manganese but she has one vial
at 40% and another at 25%. How many of each must be mixed to provide 100 pounds of
35% manganese?

Answers

Mi hermano me dice que no tengo nada que ver con el que no me deja

Abby lives in a home worth $115,000. She has a mortgage of $98,000. She owes $5,200 on her
car that is worth $11,000. She has a credit card balance of $2,300. She also has a checking
account with a balance of $900 and $300 in gift cards. What is Abby's net worth?

Answers

Step-by-step explanation:

11500-98000 = 17000

11000-5200 = 5800

17000+5800 - 2300 + 900 + 300 = $21700

Answer: Abby's net worth would be around $21,400. $127,000 in assets, and around 105,000 in liabilities.

Step-by-step explanation: With the given information I added up the total and got around 127,000 in assets and 105,000 in liabilities, and when subtracted you will get Abby's net worth (answer), 21,400.

Hope This Helped, Have Great Day!

NEED HELP BADLY !!!!
An expression is shown below:

2x3y + 8xy − 4x2y − 16y

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Plz, give well-thought-out answers!!!

Answers

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

Draw the line of reflection that reflects ABC onto AA'B'C'.
y
7
Pro
6-
5-
Ted
4
B'3
B
2
N
+
-7 -6
-5 -4 -3 -2
2 3
5
6
7
СТ
-2
C
-3-
Do 4 problems OOOO

Answers

Answer:

Line of reflection → x = 1

Step-by-step explanation:

Coordinates of B → (3, 2)

Coordinates of B' → (-1, 2)

If point B is reflected across a vertical line x = a, both the points B and B' will be equidistant from the line of reflection.

Coordinates of the midpoint of the segment joining B and B'

= [tex](\frac{x_+x_2}{2},\frac{y_1+y_2}{2})[/tex]

= [tex](\frac{3-1}{2},\frac{2+2}{2})[/tex]

= (1, 2)

Line of reflection will pass through this midpoint (1, 2)

Therefore, equation of the line of reflection will be,

x = 1

Please help me with the problem​

Answers

Exact Answers:

Area = 150.5*sqrt(3)Perimeter = 57+7*sqrt(3)

Approximate Answers:

Area = 260.673646539Perimeter = 69.12435565

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

Explanation:

Your diagram is 100% correct. Nice work.

To get the area of the trapezoid, we could use the area of a trapezoid formula below:

A = h*(b1+b2)/2

In this case, we have,

h = 7*sqrt(3) = heightb1 = 18 = base1b2 = 25 = base2

the bases are parallel to each other. The height is always perpendicular to the base. We won't use the "14" at all.

So,

A = h*(b1+b2)/2

A = 7*sqrt(3)*(18+25)/2

A = 7*sqrt(3)*21.5

A = (7*21.5)*sqrt(3)

A = 150.5*sqrt(3)

This is the exact area.

The approximate area is roughly

150.5*sqrt(3) = 260.673646539

The units for the area are in square km, or km^2. Though your teacher said for you not to include the units.

Another way to get the area of the trapezoid is to break the diagram into a rectangle and triangle as you have done so, and then find the area of each sub-piece. Adding the two smaller areas should lead to the result shown above.

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

To get the perimeter, we add up all of the exterior sides. We do not include the right-most vertical line that is 7*sqrt(3) km long because it is inside the figure. The horizontal segment that is 7 km long is part of the "25 km" segment, so we'll ignore that 7.

Adding the four exterior sides leads to:

7*sqrt(3)+18+14+25 = 57+7*sqrt(3)

This value is exact. It approximates to

57+7*sqrt(3) = 69.12435565

The units for the perimeter are in kilometers, and you won't have any exponent over the "km". While your teacher doesn't want the units, it's still handy to know what the units would be.

Step-by-step explanation:

solution given:

for rectangle

length [l]=18km

breadth [b]=7√3 km

for triangle

base[b1]=25-18=7km

height [h]=b=7√3km

for area :area of. (rectangle +triangle}=

l×b+1/2 b1×h=18×7√3+1/2 ×7×7√3=260.67km²

now

perimeter=sum of all sides

=18+14+25+7√3=69.12km

is your answer

Other Questions
please help me tysm if you do Labour day is May 1 .you're asked to write and deliver the welcome speech for a guest speaker at your school's assembly . In 40 words the speech Help me hurryy please MAKE A LIST ANSWERING THE FOLLOWING QUESTIONS TO PREDICT THE EFFECTS OF THE LOUISIANA PURCHASE: HOW MUCH LAND WAS GAINED IN THE PURCHASE ? WHAT DID PEOPLE DO WITH THE NEW LAND ? WHAT DID THEY KNOW ABOUT THE LAND ? HOW DID PEOPLE REACT TO THE PURCHASE ? USE THE INFORMATION GAINED FROM THESE QUESTIONS AS A BASIS FOR A SHORT PARAGRAPH ABOUT THE LOUISIANA PURCHASE. The first term of a geometric sequence is 640, and the common ratio is (1/2). Whatis the 8th term of the sequence?A: 20B: 2.5C: 10 D: 5 The length of a rectangle is 3 cm more than four times the width (This will be your first equation. The second equation comes from the perimeter formula below). If the perimeter of the rectangle is 56 cm, what are its dimensions? How does the strength of a magnetic field around a wire vary? Plz no links just give the answer and how you got it plsss. A circular hot spring has a diameter of 106 meters. Over time, the diameter of the spring decreases by 2 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi What are the types of travel cards. what the er verb for "douse he play soccer " in french A factory has 500 workers. If the number of women is 50 more than the number of men, what is the number of women workers? How does a watershed help mitigate water runoff? NEED HELP ASAP Charlie and Lupita both opened bank accounts and deposited $25 each. Lupita used her debit card to buy lunch for $10. Charlie used his debit card to buy a new video game for $50. Which of the following statements about their accounts is NOT true? Charlie owes the bank more than Lupita has in her account. The value of Charlie's account is greater than that of Lupita's. The money in Lupita's account is not enough to pay off Charlie's debt. Even if Charlie were to add $25 to his account, its value would still be less than Lupita's. 8. Europe became very religious about 1000 years agoTrueFalse Please help me with this Who could help me with this question (have only 1 try) SITUATION: Teddy wants to prove if gravity really acts on each object. He used a paper and crumpled paper. He threw it at same time in same height.Answer 1-5 each question. Plsss can someone answer my question? : The students at Fitzgerald High School are building the shape below to put on their school. What is t total area of the shape in square units? 4 units 1 unit 10 units 1 unit 3 units 1 unit Anyone want to help me out with this??The function f(t) = 8100(0.993) 365 represents the change in a quantity over tdays. What does the constant 0.993 reveal about the rate of change of the quantity?The function isexponentially at a rate of% every In a right triangle, if sin 0 = 8/17 what is cos 0 explain?