Kobe is a basketball player. He is able to make a free throw 70% of the time. What is the probability that Kobe makes his 10th free throw on his 14th shot

Answers

Answer 1

Answer:

0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either he makes it, or he misses. The probability of making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

He is able to make a free throw 70% of the time.

This means that [tex]p = 0.7[/tex]

What is the probability that Kobe makes his 10th free throw on his 14th shot?

9 of his first 13(P(X = 9) when n = 13), and then the 10th with 0.7 probability.

Thus

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{13,9}.(0.7)^{9}.(0.3)^{3} = 0.2337[/tex]

0.7*0.2337 = 0.1636

0.1636 = 16.36% probability that Kobe makes his 10th free throw on his 14th shot


Related Questions

How many solutions are there for the system of nonlinear equations
represented by this graph?
10
8
0
4
2
-
BE
-10-8
-6
0
-2
-2
2
4
8
10
4
-
-8
-10
O A. Two
O B. None
C. One

Answers

The correct answer is 2 Solutions , see it’s how many times the two lines intersect, so 2

True or false: If you are changing a larger unit into a smaller unit, like cm into mm, the decimal is moved to the right because you are multiplying by a power of ten

Answers

Answer:true

Step-by-step explanation:

i dont know

For any number n>1, is
|(.5 +.2i)^n|
A. greater than 1?
B. less than 1?
C. equal to 1?
PLZ HELP

Answers

Answer:

B. Less than 1

Step-by-step explanation:

You could plug in values of n greater than 1 and see what happens....

Example n=2 gives |(.5+.2i)^2|

Simplifying inside gives |(.5)^2+2(.5)(.2i)+(.2i)^2|

=|.25+.2i+.04i^2|=|.25+.2i-.04|=|.21+.2i|.

Applying the absolute value part gives sqrt(.21^2+.2^2)=sqrt(.0441+.04)=sqrt(.0841)=.29

This value is less than 1.

We should also be able to do the absolute value first then the power.

|.5+.2i|=sqrt(.25+.04)=sqrt(.29)

So |.5+.2i|^2=.29 which is what we got long way around.

Anyways (sqrt(.29))^n where n is greater than 1 will result in a number greater than 0 but less than 1.

Question 9 of 10
What is the area of the polygon given below?
3
3
19
14
2
12

Answers

Answer:

Please could you add an image, maybe I could answer then

Step-by-step explanation:

271 unit² is the  area of the polygon. The correct option is option B among all the given options.

What is area?

The size of a patch on a surface is determined by its area. Surface area is defined as the circumference of an open surface or indeed the boundaries of a three-dimensional object, whereas the area of a plane region and plane area relates to the area of a form or planar lamina.

Area can be interpreted as the quantity of material with such a specific thickness required to create a replica of the shape or as the quantity of paint required to completely cover a surface in a single coat. This is the two-dimensional equivalent of the volume of a solid or the length of a curve.

The area is the sum of 3 rectangles are:

First          12 × 19 = 228

Second       3 × 3   = 9

Third           2 × 17 = 34

total area = 228 + 34 + 9 =  271 unit²

Therefore,  271 unit² is the  area of the polygon. The correct option is option B.

To know more about area, here:

https://brainly.com/question/12187609

#SPJ7

Your question is incomplete but most probably your full question was,

What is the area of the polygon given below

Calculate 20% of 15,998

Answers

Answer:

3,199 approximately

Step-by-step explanation:

to find how much 20% of 15,998 does we multiply 15,998 with 20 and then divide it by 100

15,998 x 20 / 100 = 3,199

Plss help!!! Image included

Answers

Answer:

(-5,2)

Step-by-step explanation:

A function is a relation where each y-value has a unique x-value. That means that x's can never repeat. Therefore, to solve find the ordered pair that does not have the same x-value as one of the points on the graph. The x-values currently represented on the graph are -4, -2, 2, 3. So, the only coordinate pair that does not repeat an x-value is the last option, (-5, 2).

Instructions: Solve the following literal
equation.
Solve 4x – 2y = 18 for y.
y =

Answers

Answer:

[tex]y = - 9 + 2x[/tex]

Step-by-step explanation:

Objective: Use the rules of Algebra to isolate y.

[tex]4x - 2y = 18[/tex]

[tex] - 2y = 18 - 4x[/tex]

[tex]y = \frac{18 - 4x}{ - 2} [/tex]

[tex]y = - 9 + 2x[/tex]

PLEASE BE RIGHT FILL IN THE BLANKS

Answers

Answer:

3 units to the right and 2 units up

Step-by-step explanation:

Assume the random variable X is normally distributed, with mean = 54 and standard deviation o = 8. Find the 15th percentile.

Answers

Answer:

45.712

Step-by-step explanation:

We need to find the Zscore of the area of 15 percent of the distribution ; using a Z table or calculator ;

Zscore of 15% of the distribution is : - 1.036

Using the Zscore formula :

Zscore = (x - mean) / standard deviation

Where, x = score

-1.036 = (x - 54) / 8

Cross multiply

-1.036 * 8 = x - 54

-1.288 = x - 54

x = - 8.288 + 54

x = 45.712

Sarah ordered 39 shirts that cost $8 each. She can sell each shirt for $16.19. She sold 32 shirts to customers. She had to return 7 shirts and pay a $1.4 charge for each returned shirt. Find Sarah's profit.

Answers

Answer:

$196.28

Step-by-step explanation:

Original cost: 39 × $8 = $312

Revenue: 32 × $16.19 = $518.08

Return charge: 7 × $1.4 = $9.8

$312 + $9.8 = total cost, which is $321.8

$518.08 - $321.8 = profit

Profit = $196.28

PLESE HELp ANYONE. SOLVE ABC. ROUND YOUR ANSWERS TO THE NEAREST HUNDREDTH IF NECESSARY

Answers

Answer:

C=25°

a=11

b=12

Step-by-step explanation:

Find angle c,since angles in a triangle add up to 180 and we know angleA andB angle C will be

65+90+C=180

C=180-155

C=25°

To find a

use trig ratios

tanA=opposite/adjacent

tan65=a/5

a=tan65×5

a=10.72 round off to 11

To find b

sinC=opposite/hypotenuse

sin25=5/b

sin25 b=5

b=11.8 or rather 12

Answer:

Step-by-step explanation:

First find  side a and to find this  calculate tan 65

Tan 65 = [tex]\frac{opposite \ side}{adjacent\ side}=\frac{a}{5}\\\\[/tex]

2.144 = a/5

a = 2.144 * 5

b² = a² + c²

   = 121+25

   = 146.

b = √146 = 12.08 = 12

a = 10.72 = 11

Now find Tan C

[tex]Tan \ C = \frac{5}{10.72}\\\\Tan \ C = 0.4664\\[/tex]

C = tan⁻¹ 0.4664

C = 25°

Andrew wants to build a square garden and needs to determine how much area he has for planting the perimeter of the garden is between 12 and 14 feet what is the range if the possible areas

Answers

Answer:

9 ft^2 and 12.25 ft^2

Step-by-step explanation:

We need to figure out the area for a square with a perimeter of 12 feet and 14 feet.

A square has four sides that are all equal in length, therefore:

12/4 = 3

14/4 = 3.5

3 and 3.5 are the individual side lengths of the garden, so to find the area, we just multiply those numbers by themselves (since it is a square garden).

3*3 = 9

3.5*3.5 = 12.25

Therefore, the answer is 9 ft^2 and 12.25 ft^2

help with this please !!

Answers

Answer:

B

Step-by-step explanation:

The coeffecients (I totally didn't spell that right) and variables match up.

I believe this one is B

write the following numbers in scientific notation. 0.0009. 12. 1000. 0.03. 1.12. 120​

Answers

Answer:

Step-by-step explanation:

Take the first real number and keep a decimal point to the right of it. Write the number after it.

Put a multiplication symbol and then 10.

Now count the number places to the right of the first real number and the number of place will be the power of 10.

If , number of place are before the first real number, then the power of 10 will be negative.

0.0009 = 9 * 10⁻⁴

12 = 1.2 *10

1000 = 1* 10³

0.03 = 3 *10⁻²

120  = 1.2 * 10²

1.12 = 1.12 *10⁰

Translate this sentence into an equation.
The difference of Malik's height and 11 is 44
Use the variable m to represent Malik's height.

Answers

Answer:

m - 11 = 44

Step-by-step explanation:

Breaking the phrase down...

"The difference of Malik's height and 11" - this indicates subtraction.

m - 11

"is 44" - this indicates that the value of the diffrence would be '44'.

'= 44'

The equation should be:

m - 11 = 44

Hope this helps.

Could you help me and answer a couple questions for me?

Answers

Answer:

I think no. D is the answer

HELP HELP QUICK QUICK

Answers

Answer:

multiplication by -1 will reflect over the x-axis

multiplication by a positive number will "scale" or "stretch" the function

Step-by-step explanation:

One number is 2/3 of another number. The sum of the two numbers is 40. Find
the two numbers.

Answers

Answer:

5353454

Step-by-step explanation:

Answer: 16 and 24

Step-by-step explanation:

2x+3x= 40

5x = 40

x=8

that means 2x8 equal 16 and 3x8 equals 24 which leads us to the answer

please help me now I need it please this is calculuse

Answers

Answer:

none of these

Step-by-step explanation:

8. The point in a distribution below which 75% of the cases lie in the?
A 3rd decile
B. 7th percentile C. 3rd quartile D. 1st quartile​

Answers

Answer:

C. 3rd quartile

Step-by-step explanation:

Percentile:

A data belonging to the xth percentile means that the data is greater than x% of the values of the data-set, and smaller than (100 - x)%.

Point below 75% of the cases lie:

This is the 75th percentile, which is the 3rd quartile, as 75 = 3*100/4. Thus, the correct answer is given by option c.

Solve the system by substitution.
y + 4 = x
10x + 2y = 16

Answers

Answer:

(2, -2)

Step-by-step explanation:

Given system:

y + 4 = x 10x + 2y = 16

Substitute x into the second equation:

10(y + 4) + 2y = 1610y + 40 + 2y = 1612y = -24y = -2

Find x:

x = -2 + 4x = 2

Answer:

x = 2 and y = -2

Step-by-step explanation:

Given system :-

y + 4 = x

10x + 2y = 16

Solve the system by substitution:-

Let,

y + 4 = x ...(1)

10x + 2y = 16 ...(2)

Solve for y;

Substitute y + 4 as x in the eq.(2)

10( y + 4 ) + 2y = 16

Distribute 10.

10y + 40 + 2y = 16

Combine like terms.

12y + 40 = 16

Move constant to the right-hand side and change their sign.

12y = 16 - 40

Subtract 16 from -40.

12y = -24

Divide both side by 12.

12y / 12 = -24/12

Hence, y = -2

Solve for x.

Substitute the value of y in eq.(1)

-2 + 4 = x

Add -2 and 4.

Hence, 2 = x

An air conditioning system can circulate 310 cubic feet of air per minute. How many cubic yards of air can it circulate per minute? The air conditioning system can circulate about cubic yards of air per minute.​

Answers

Answer:

310/[tex]3^{3}[/tex] = 310/27 =11.48

Step-by-step explanation:

Answer:

310/ = 310/27 =11.48

Step-by-step explanation:

Solve the formula for t

Answers

Answer:

Step-by-step explanation:

S - 4πc^2 = 6πct

t = (S - 4πc^2)/6πc

t = S/(6πc) - 2/3 c

assuming c ≠ 0

A regular hexagon has sides of 5 feet. What is the area of the hexagon? 12.5 ft 2 37.5 ft 2 25 ft 2 50 ft 2

Answers

Answer:  [tex]37.5\sqrt{3}[/tex]

This value is exact. We can write this as 37.5*sqrt(3)

This approximates to roughly 64.9519

The units for the area are in square feet.

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

Explanation:

Split the regular hexagon into 6 identical equilateral triangles.

Each equilateral triangle has side length x = 5 ft.

The exact area of one of the equilateral triangles is

A = 0.25*sqrt(3)*x^2

A = 0.25*sqrt(3)*5^2

A = 0.25*sqrt(3)*25

A = 0.25*25*sqrt(3)

A = 6.25*sqrt(3)

Multiply this by 6 to get the exact area of the regular hexagon.

6*A = 6*6.25*sqrt(3) = 37.5*sqrt(3) which is the exact area in terms of radicals or square roots.

If your teacher meant to say choice B is 37.5*sqrt(3), then that would be the final answer. If your teacher only said 37.5 without the sqrt(3) term, then there's a typo.

Consider this linear function:
y = 1/2x + 1
Plot all ordered pairs for the values in the domain.
D: {-8, -4,0, 2, 6)

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attachment shows the ordered pairs (x, f(x)) and their graph.

Emily drove to town with an average speed of 32 miles per hour, and then back home with an average speed of 38 miles per hour. If her total traveling time was 42 minutes, how far is it from home to town?

Answers

Answer:

12.16 miles

Step-by-step explanation:

Speed - s,   Distance - d,  Time - t

Equation of time is:

t = d/s

Given,

s1 = 32 m/h, s2 = 38 m/h, t1 + t2 = 42 min = 42/60 h = 7/10 h

Total time is the sum of time values to and from the town:

d/32 + d/38 = 7/10d/16 + d/19 = 7/5d(1/16 + 1/19) = 7/5d(16 + 19) = 7(16*19)/535d = 425.6d = 425.6/35d = 12.16

It is given that,

→ s1= 32 miles/h

→ s2 = 38 miles/h

Now t1 + t2 is,

→ 42 min

→ 42/60 hours

→ 7/10 hours

The formula we use,

→ Time = Distance/Speed

→ t = d/s

Then the total time is the,

Sum of time values to and from the town.

→ d/32 + d/38 = 7/10

→ d/16 + d/19 = 7/5

→ d{(1/16) + (1/19)} = 7/5

→ d(16 + 19) = (7/5) × (16 × 19)

→ 35d = 425.6

→ d = 425.6/35

→ d = 12.16

Hence, the distance is 12.16 miles.

Which of the following lists of ordered pairs is a function? A. (1,8), (2, 9), (3, 10), (3, 11) B. (-1,4), (1,7), (2, 10) C. (3,7),(4, 5), (3, 8) D. (-2,3), (1, 3), (3, 7), (1, 4)​

Answers

Answer:

B

Step-by-step explanation:

B is the only one that doesnt share x-values

B because none of the x values repeat. For ex (2,3),(4,3),(2,4) is not a function because the x value repeat. I hope this answers your question.

The breaking strengths of cables produced by a certain manufacturer have a mean, , of pounds, and a standard deviation of pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be pounds. Assume that the population is normally distributed. Can we support, at the level of significance, the claim that the mean breaking strength has increased

Answers

The question is incomplete. The complete question is :

The breaking strengths of cables produced by a certain manufacturer have a mean of 1900 pounds, and a standard deviation of 65 pounds. It is claimed that an improvement in the manufacturing process has increased the mean breaking strength. To evaluate this claim, 150 newly manufactured cables are randomly chosen and tested, and their mean breaking strength is found to be 1902 pounds. Assume that the population is normally distributed. Can we support, at the 0.01 level of significance, the claim that the mean breaking strength has increased?

Solution :

Given data :

Mean, μ = 1900

Standard deviation, σ = 65

Sample size, n = 150

Sample mean, [tex]$\overline x$[/tex] = 1902

Level of significance = 0.01

The hypothesis are :

[tex]$H_0 : \mu = 1900$[/tex]

[tex]$H_1 : \mu > 1900$[/tex]

Test statics :

We use the z test as the sample size is large and we know the population standard deviation.

[tex]$z=\frac{\overline x - \mu}{\sigma / \sqrt{n}}$[/tex]

[tex]$z=\frac{1902-1900}{65 / \sqrt{150}}$[/tex]

[tex]$z=\frac{2}{5.30723}$[/tex]

[tex]$z=0.38$[/tex]

Finding the p-value:

P-value = P(Z > z)

             = P(Z > 0.38)

             = 1 - P(Z < 0.38)

From the z table. we get

P(Z < 0.38) = 0.6480

Therefore,

P-value = 1 - P(Z < 0.38)

            = 1 - 0.6480

             = 0.3520

Decision :

If the p value is less than 0.01, then we reject the [tex]H_0[/tex], otherwise we fail to reject  [tex]H_0[/tex].

Since the value of p = 0.3520 > 0.01, the level of significance, then we fail to reject  [tex]H_0[/tex].

Conclusion :

At a significance level of 0.01, we have no sufficient evidence to support that the mean breaking strength has increased.

HELP WILL MARK BRAINLIESG

Write an equation that represents the line,
Use exact numbers.

Answers

Answer:

3/2 + 7

Step-by-step explanation:

Help me or ill fail plz

Answers

Answer:

1,108 in²

Step-by-step explanation:

SA = (12×20) + (2×20×5 + 2×12×5) + (2×½×12×9)

+ (2×20×11)

= 240+320+108+440

= 1,108 in²

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