A college basketball player makes 5/6 of his free throws. Assuming free throws are independent, the probability that he makes it exactly three of his next four free throws is

Answers

Answer 1

Final answer:

The probability that a college basketball player makes exactly three of his next four free throws is calculated using binomial probability, resulting in approximately 38.58%.

Explanation:

The probability that a college basketball player makes exactly three of his next four free throws, given that he makes 5/6 of his free throws, involves calculating a binomial probability. We have four independent events (four free throws), and we want exactly three successes (made throws) and one failure (missed throw). We use the following formula for the binomial probability:

P(X=k) = C(n, k) × p^k × (1-p)^(n-k)

where:

C(n, k) is the number of combinations of n items taken k at a time.p is the probability of success on any given trial.n is the number of trials (4 in this case).k is the number of successes (3 in this case).(1-p) is the probability of failure on any given trial.

In this problem:

p = 5/6 (probability of making a throw)(1-p) = 1/6 (probability of missing a throw)n = 4 (total number of free throws)k = 3 (number of free throws made)

Plugging in the values:

P(X=3) = C(4, 3) × (5/6)^3 × (1/6)^1

C(4, 3) is 4, since there are four different ways to make three throws and miss one (MMM-M, MM-MM, M-MMM, MMMM-). So the calculation gives:

P(X=3) = 4 × (5/6)^3 × (1/6) = 4 × (125/216) × (1/6) = 500/1296, which simplifies to about 0.3858 or 38.58%.

Therefore, the probability that he makes exactly three of his next four free throws is 0.3858 or 38.58%.

Related Questions

A professional golfer gets a hole-in-one 0.003% of the time they try on a hole. If the golfer plays 32,000 holes over the course of their professional career, about how many hole-in-ones should they expect over their career?

Answers

It is 96 holes because.003 * 32000 is the number of holes that can be expected by the player.

96 holes I think is the correct answer

What is the value of x

Answers

Look at the picture.

x = 16.

Using differentiation from first principles, prove that the gradient of the line y=mx + c is m

Answers

[tex] \frac{dy}{dx} = m[/tex]
because when you differentiate, only the constant of the x remains (which is m in this case), and c being another constant independent of x, is 0 when differentiated. hence, since dy/dx is the gradient of the line, m is therefore the gradient

a ice cream shop offers 5 different flavors of ice cream and 12 different toppings how many choices are possible for a single serving of ice cream with one topping

a. 18
b. 22
c. 46
d. 60
PLZ HELP

Answers

60 because 5 times 12 equals 60

Answer:

D)60

Step-by-step explanation:

All you do is multiply 5 by 12.

5x12=60

Two campers leave their campsite at point A to go on a hike. Camper one heads east for 2 miles, then heads north 1 mile to point B. Camper two heads north for 4 miles, then east for 3 miles to point C. Referencing the triangle formed by A, B, and C, m
A.
27°
B.
36°
C.
45°
D.
53°

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Answer:

its not C. It's A. 27

I just did it with my math teacher

Help me with this algebra problem. Thank you :)

Answers

To solve this problem you must apply the proccedure shown below:

1. You must make a system of equations, as below:

2. Let's call:

x: the number of first class tickets bought.
y: the number of coach tickets bought.

3. Then, you have:

x+y=7 (First equation)
970x+370y=3790 (Second equation)

x=7-y

4. By substitution, you have:

970x+370y=3790
970(7-y)+370=3790
y=5

x=7-y
x=7-5
x=2

Therefore, the answer is:

- Number of first class tickets bought=2

- Number of coach tickets bought=5

15 min left! Anyone know this geometry question?

Answers

Option B is your answer. Those two angles are alternate interior angles.

The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism.

When the large prism was reduced, the surface area changed by a factor of
A.64/125
B.16/25
C.4/5
D.10/8

Answers

Answer: B. [tex]\frac{16}{25}[/tex]

Step-by-step explanation:

We know that if a figure or solid shape is dilated to create a new shape then the new shape is similar to the original shape.

Also, the scale factor of dilation is the ratio of the sides of new shape to the corresponding sides of the original shape .

Let k be the scale factor of dilation, then

Given : Original shape - larger prism

New shape - smaller prism

Surface area of prism with all sides equal (a)=[tex]4a^2[/tex]

Surface area of original prism =[tex]4(10)^2=400[/tex]

Surface area of new prism =[tex]4(8)^2=256[/tex]

[tex]\Rightarrow k=\frac{256}{400}=\frac{16}{25}[/tex]

Hence, the scale factor = [tex]\frac{16}{25}[/tex]

A sporting goods store sells 2 fishing reels and 5 fishing rods for $195. Later, they sell 4 fishing reels and 3 fishing rods for $131. Find the price of each item.

Answers

Let
Fishing reel = x
Fishing rods = y

Therefore,
2x + 5y = 195 ---- 1
4x + 3y = 131 ---- 2

Solving 1 and 2 above;
Multiply expression 1 by 2 and subtract 2 from the results;
4x + 10y = 390
4x + 3y = 131
-------------------
0x + 7y = 259 => y = 259/7 = 37

Using the value of y in expression 1;
2x + 5(37) = 195
2x + 185 = 195
2x = 10
x = 10/2 = 5

Therefore, the price of fishing reels is $5 and fishing rods is $37.

Anybody know the answer to this question?

Answers

I'm pretty sure it is 17.5

A test was marked out of 80. A boy scored 60% of the marks on the test. How many marks did he score?

Answers

He score 48 marks.

This can be found by simply multiplying 80 by 60% (0.6). This will give you your rinal answer of 48.

I hope this helps!

If Jane has 3 3/4 dozen boxes of envelopes, and she ordered 11 1/2 dozen more, how many dozen boxes will she have in all?

Answers

Final answer:

Jane has a total of 61/4 dozen boxes of envelopes after adding the original 3 3/4 dozen with the additional 11 1/2 dozen she ordered.

Explanation:

If Jane has 3 3/4 dozen boxes of envelopes, and she orders 11 1/2 dozen more, we must add these two amounts together to find out how many dozen boxes she will have in all. First, we convert 3 3/4 to an improper fraction: 3 x 4 + 3 = 12 + 3 = 15, so 3 3/4 dozen becomes 15/4 dozen. Similarly, we convert 11 1/2 to an improper fraction: 11 x 2 + 1 = 22 + 1 = 23, so 11 1/2 dozen becomes 23/2 dozen.

Next, we add the two amounts of dozens of boxes together:

(15/4) dozen + (23/2) dozen

To add these fractions, we need a common denominator, which is 4, so we convert 23/2 to 46/4.

(15/4) dozen + (46/4) dozen = (61/4) dozen

So, in total, Jane will have (61/4) dozen boxes of envelopes.

Karla and her dad were nailing up plywood, they started at 10:00. Karla drove 30 nails in 10 minutes, the time it took her dad to drive 50 nails. At that rate for each, when did they finish driving 392 nails in all ?

Answers

They finished @ 10:47 hope this helped

Write an equation of the direct variation that includes the point (6, –2). y = –3x

Answers

Answer:

-1/3x is the answer

Step-by-step explanation:

Do the problem.

An equation of the direct variation that includes the point (6, –2) is y = -1/3(x).

What is a direct variation?

In Mathematics, a direct variation is also referred to as direct proportion and it can be modeled by using the following mathematical expression or function:

y = kx

Where:

y represents the y-variable or dependent variable.x represents the x-variable or independent variable.k represents the constant of proportionality.

Under direct variation, the value of x represent an independent variable while the value of y represents the dependent variable. Therefore, the constant of proportionality (variation) can be calculated as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = -2/6

Constant of proportionality (k) = -1/3

Therefore, the required equation is given by;

y = kx

y = -1/3(x)

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what is the 14 letter word with the definition of an example showing a statement is not true. it is c--n-e-t--m-l-

Answers

The word is counterexample.
Your second t is incorrect.
It should be an e.

what is the slant height of the cone

Answers

The formula is [tex]A= \pi rl[/tex]. You have the values for area and radius, so plug them in and divide to solve for l. [tex] \frac{13.8 \pi }{2.3 \pi } =l[/tex]. The pi's cancel each other out, so the division of the numbers gives you a slant height of 6

The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 130 feet per second. Which equation correctly models the ball's height as a function of time?

Answers

For this case we must use the projectile equation for this problem.
We have then:
h (t) = - 16t ^ 2 + Vt + h
Where,
V: initial speed
h: height
For the tennis ball we have:
h (t) = - 16t ^ 2 + 130t + 2
Answer:
An equation that correctly models the ball's height as a function of time is:
h (t) = - 16t ^ 2 + 130t + 2

The maximum height at the moment is 266.0625 ft.

Projectile's height

The equation for a projectile's height versus time is

[tex]&h(t)=-16 t^{2}+V t+h \\[/tex]

h = 2

V = 130

Substitute these values into the function

[tex]$h(t)=-16 t^{2}+130 t+2$[/tex]

Take the first derivative

[tex]$h^{\prime}(t)=-16* 2 t+130[/tex]

[tex]=-32 t+130$[/tex]

Equate the derivative with zero [tex]$h^{\prime}(t)=0$[/tex].

Solve the equation -32 t + 130=0

32 t = -130

t = -130 /(-32)

= 4.0625(s) .

Find the maximum height at the moment

t = 4.0625 (s)

h(4.0625) [tex]= -16(4.0625)^{2}+130 * 4.0625+2[/tex]

= - 264.0625+528.125+2

= 266.0625 ft.

Therefore, the maximum height at the moment is 266.0625 ft.

To learn more about projectile's height

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does the lateral area in a prism include the base?

Answers

No. The lateral area is the area of all faces except the bases.

Food costs are expected to rise 6% each month for the next year. which series correctly depicts the cost (to the nearest cent) for the next three months if the current cost is $150 per month? $150.00 + $159.00 + $168.00 $150.00 + $159.00 + $168.54 $159.00 + $168.00 + $177.00 $159.00 + $168.54 + $178.65

Answers

Increment = 6% = 0.06
The explicit formula for the series is;
C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n

Applying the explicit formula;
Current cost = $150
2nd month cost = 150*1.06 = $159
3rd month cost = 159*1.06 = $168.54

The second option is correct.

according to edjenuity, the answer was

D. $159.00 + $168.54 + $178.65

This image shows a square pyramid. What is the surface area of this square pyramid? 36 ft² 72 ft² 78 ft² 84 ft² Note: Image not drawn to scale. The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge. The length of the base edge is 6 feet. The lateral edge makes a 45 degree angle with the base edge.

Answers

the picture in the attached figure

we know that
In a square pyramid we have five faces, 4 triangles and 1 square. So to determine surface area we need to take the areas of the triangles and square and add them all up

The square's area is relatively simple:

A=b²
A=6²=36 ft²

But now let's observe the triangles, a triangle's area is:

A=(1/2)*b*h

the base is equal to 6 ft

b=6 ft

AC=BC----------> because the angle is 45°

AC=6 ft/2----> 3 ft

BC=3 ft

A=(1/2)*6*3----> 9 ft²

Multiply the triangle's area by four to account for all four triangular faces and add the squares area for your answer

Surface area=36 +4*9-----> 72 ft²

the answer is

72 ft²

Answer:

Step-by-step explanation:

just took quiz

what does –x2 – 6x – 8 look like on a graph
The 2 is a power

Answers

Does this answer your question?

The equation -x^2 - 6x - 8 looks like this when graphed.

I hope this helps!

There are 10 red and blue marbles, among which r are red. How many are blue? Denote blue marbles as b

Answers

Answer:

equation=r+b=10

answer=10-r

Its common sense y'all! IF you don't have enough information,just make up a equation! And use the variables as your numbers!

There are 10 - r blue marbles

How to determine the number of blue marbles?

The distribution of the marbles are given as:

Red = r

Blue = b

Total = 10

This means that:

b + r = 10

Solve for b

b = 10 - r

Hence, there are 10 - r blue marbles

Answers

The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.

Brainly please

Someone please help me?

Answers

(AE + ED) *AE = (CB+ AB) *AB

(4 + ED) * 4 = (4+5) *5

(4 + ED) * 4 = 45

4ED +16 = 45

4ED = 29
ED = 29/4 = 7.25

AD = AE + ED

AD = 4 + 7.25

AD = 11.25

Answer is A

A standard number cube is tossed. Find P (3 or odd)

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

Answers

Total number of possible outcomes = 6

Total number of outcomes with 3 or odd = 3
They are : 1, 3, 5

P(3 or odd) = 3/6 = 1/2

Answer: 1/2

E = event space = set of outcomes we want to happen
E = set of numbers that are either 3 or odd
E = {1, 3, 5}

S = sample space = set of all possible outcomes
S = set of all the values on the standard number cube (aka dice)
S = {1, 2, 3, 4, 5, 6}

There are 3 items in the event space out of 6 total in the sample space
Using math notation, we can say n(E) = 3 and n(S) = 6. The small n means "number". So writing "n(E)" means "number of items in the event space".

So,
P(3 or odd) = n(E)/n(S)
P(3 or odd) = 3/6
P(3 or odd) = 1/2

The probability as a fraction is 1/2, which is 0.5 in decimal form. This represents a chance of 50%. Note: since 3 is an odd number, saying "P(3 or odd)" is the same as just saying "P(odd)"

Answer: Choice A. 1/2

For a propular Broadway musical the theater box office sold 356 tickets at $80 apiece,275 tickets for $60 apiece and 369 tickes $45 apiece. How much money did the box office take in

Answers

The first step to solving this equation would be to how much they made for every apiece. To do this we must multiply the cost of the $80 apiece by how much they sold, as well multiplying the $45 apiece by how many they sold. And also the $60 apiece by the how many they sold.

$80 apiece × 356 tickets = ?

$60 apiece × 275 tickets = ?

$45 apiece × 369 tickets = ?

Now we must solve our equations.

$80 apiece × 356 tickets = $28,480

$60 apiece × 275 tickets = $16,500

$45 apiece × 369 tickets = $16,605

The next step would be to add up all the total costs of each apiece.

$28,480 + $16,500 + $16,605 = $61,585

So our answer is...

The box office took in a total of $61,585

Why does it take more centimeters than inches to measure the same distance?

Answers

Because 1 centimeter is smaller than 1 inch, so more centimeters than inches can fit in a given distance.

What are angle a and the 60-degree angle to one another?

Answers

The answer to this is vertical angles i just got finished taking it

What is the equation of the quadratic graph with a focus of 4,0 and a directrix of y=10

Answers

To solve this problem youu must apply the procedure shown below:

1. Let's call (x0, y0) to any point of the parabola.

2. Then, you have:

√(x0-a)^2+(y0-b)^[2=|y0-10|

3. When you susbtitute values and simplify it, you obtain:

(√(x0-4)^2+(y0-0)^2)^2=(y0-10)^2
(x0-4)^2+y0^2=(y0-10)^2

4. Now, you must clear y, and you will have:

y=(-x^2/20)+(2x/5)+(21/5)

A and b are independent events. the probability that a will happen is 1/4 and the probability that b will happen is also 1/4. what is the probability they will both happen?

Answers

To find the probability of both things happening you just have to multiply them by each other.

1/4*1/4=1/16

Final answer:

For independent events A and B, the probability of both happening is the product of their individual probabilities. In this case, the probability of both A and B happening is 1/16.

Explanation:

In the field of probability in mathematics, when dealing with independent events like A and B in your question, the probability of both A and B happening (denoted as P(A AND B)) is calculated by multiplying the probability of A happening (P(A)) by the probability of B happening (P(B)) This is known as the multiplication rule for independent events.

So, if the probability that A will happen (P(A)) is 1/4, and the probability that B will happen (P(B)) is also 1/4, then the probability that both A and B will happen (P(A AND B)) is (1/4) * (1/4) = 1/16.

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