An acting school claims that 71% of its graduates land major acting roles within one year of graduation. A random sample of 50 graduates was surveyed, and 30 of them had landed major roles within one year of graduation. Let p hat = the proportion of the sample who had landed major roles within one year of graduation.

The probability that 60% or fewer graduates land a major acting role within one year of graduating from this school is 0.043. Does this result provide convincing evidence against the school’s claim?

A. Yes, it is expected that at least 60 graduates from this school will land a major role within one year of graduation.

B. Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely (0.043 < 0.05).

C. No, the difference between the sample proportion and the parameter is 11%, which is greater than 5%.

D. No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely (0.043 < 0.05).

Answer:

...

Step-by-step explanation:

...

Answer:

Can you put up the diagram so I can solve it?

Step-by-step explanation:

Answer:

The interest will rack up to $7,200

The total will be $15,200

Step-by-step explanation:

the interest she pays is $7,000

the total amount she pays is $15,200

Jenna borrows $8,000 for college at a simple interest rate of 6%

she has 15 years to pay back the loan and interest

the interest can be calculated as follows

= 6/100 × 8,000

= 0.06 × 8000

= 480

= 480 × 15

= $7200

the total amount she pays can be calculated as follows

= $7200 +$8000

= $15,200

Hence the interest she pays is $7200 and the total amount is $15,200

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Answer:

x = - 8/23

y = 40/23

Step-by-step explanation:

-5x- y = 0

and

-8x+3y = 8

The first step to solve this would be to get what one of the two variables equal. The easiest in this case is y from the first equation.

-5x-y = 0

-y = 5x

y = - 5x

Now you can take this y value and plug it into the section equation.

-8x + 3(-5x) = 8

-8x - 15x = 8

-23x = 8

x = - (8/23)

Once you get the x value you can plug it back into equation one to get y's value

-5*-(8/23)  - y = 0

40/23 - y = 0

y = 40/23

Answer:

3500cmnjdkslkrkdjdsllwldkkdkrkfjfrkrk

Answer:

i think its a uhhh i think its a carrot..

Step-by-step explanation:

Answer:

8.31

Step-by-step explanation:

By Pythagoras Theorem,

(10)² + x² = (13)²

=> x² = (13)² - (10)²

=> x² = 169 - 100

=> x² = 69

=> x = [tex]\sqrt{69}[/tex]

=> x ≈ 8.31

Hope it helps :)

Please mark my answer as the brainliest

Answer:

x=7,x=-1/2

Step-by-step explanation:

so x-7=0 or 2x+1=0

x=7 or 2x=-1

x=7,x=-1/2

if my answer helps please mark as brainliest.

Answer:

c

Step-by-step explanation:

Answer:

a negative rational number

Step-by-step explanation:

I'm pretty positive this is the answer, but its worded strange in my opinion

Answer:

C

Step-by-step explanation:

We can use the pythagorean theorem (A^2 + B^2 = C^2) To solve this question.

For answer A, we add 6^2 (36) and 8^2(64) to get 10^2 (100). This is a right triangle.

For question B, we add [tex]\sqrt{3}[/tex] ^2 (3) and [tex]\sqrt{8}[/tex]^2 (8) to get [tex]\sqrt{11}[/tex]. This is a right triangle.

For question C, we add 3^2 and 5^2 to get [tex]\sqrt{34}[/tex]. This is not a right triangle.

Answer:

s+45≥100

Step-by-step explanation:

"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.

Answer:

you need to post a picture of the options, but the answer is add seven to both sides.

Step-by-step explanation:

Answer:

add 7 to 5

Step-by-step explanation:

1. 2x - 7 = 5  

2. 2x = 5 + 7     (reverse the 7)

3. 2x = 12          (simplify)

4. 12/2               (divide number by the unknown value)

5. x= 6           (solve?)

6. 2(6) - 7 = 5    (CHECK)

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(0,2)

Equation Form:x=0, y=2

Answer:

(0,2)

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of  y  opposite.

3*2x-y=3*-2

Simplify

6x-3y=-6

Add the two equations

10x = 0

Divide both by 10 and simplify

x=0

Substitute x into the equations.

4*0+3y=6

3y=6

2

y=2

Answer:

The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Step-by-step explanation:

In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:

64-ounce container: 6.50/64=0.10

48-ounce container: 4.25/48=0.08

According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Answer:

There will be close to 30 football players but probably not exactly 30 football players who get a popsicle.

Step-by-step explanation:

Its correct on Khan Academy

Answer:

4 minutes left

Step-by-step explanation:

20 - 16 = 4

The longer can they stay in the pool 4 minutes left.

We have given that,

Lauren and Gina's mother told her daughters they can

swim in the pool for 20 minutes.

First, they swam laps,

The pool for 7 minutes.

Then they swam underwater for one minute.

Then they played water polo for 8 minutes.

We have to determine the longer can they stay in the pool.

1 minute =60 second

4 minutes left

20 - 16 = 4

The longer can they stay in the pool 4 minutes left.

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Answer:$5.85

Step-by-step explanation: you divide 52.65 divided by 9 and it will equal $5.85

Answer:

$5.85. Hope this helped! :')

Step-by-step explanation:

1. Use the algorithm method.                              

          5      . 8 5

9 |        5 2 . 6 5

            4 5 .  

                7 . 6

                7 . 2

                      4 5

                      4 5

2. Therefore, 52.62 divided by 9=5.85

5.85

Answer:

181cm²

Step-by-step explanation:

Given

Radius of a circle = 7.6cm

Area of the circle = \pi r²

Substitute

Area of the circle = 3.14(7.6)²

Area of the circle  = 3.14(57.76)

Area of the circle = 181.3664cm²

Area of the circle to 3sf is 181cm²

Answer:

c. 10, -10

Step-by-step explanation:

10x10=100

-10x-10=100

Answer:C

Step-by-step explanation: when doing the square root of 100 it’s 10 but -10 times -10 is also 100 because of double negatives

Answer:

I think it's -4418

Answer:

n = 6

Step-by-step explanation:

To isolate n, subtract 1 from both sides:

4n + 1 = 25

4n = 24

Then divide by 4 on both sides:

4n = 24

n = 6

Hope this helped :)

Answer:

6

Step-by-step explanation:

4n+1= 25

or,4n= 25- 1

or,4n=24

or,n=24/4

so n= 6

Answer:

(x-3)*(x-8)

Step-by-step explanation:

x^2-11x+24=(x-3)*(x-8)

Answer:

factoring out the 1/2 (that is the coefficient of the variable) would require you to divide the equation by one half, which is the same as multiplying by two. After doing this, the answer can be expressed as:

1/2 (d+12)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factor out a 1/2

[tex]\frac{1}{2}(d+12)[/tex]

Redistribute if you want to check your work

[tex]\frac{d}{2}+\frac{12}{2} =\frac{1}{2}d+6[/tex]

Answer:

The answer is A.

Step-by-step explanation:

The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.  

Answer:

In 11 months, the number of DVDs sold and Blue-Ray discs sold will be same, 791 of each.

Step-by-step explanation:

In the equation d = 923-12t, substitute 505+26t (from the second equation) for 'd'. We get

505 + 26t = 923 - 12t

-505 + 12t   -505 + 12t

38t     =       418

t=11

d = 923-12(11) = 791

d = 505+26(11) = 791

After 11 months, selling 791 of each.

Hope this helps.

Answer:

791

Step-by-step explanation: