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avanturin [10]
3 years ago
6

Sofia's audio player has 15,000 songs. The play time for the songs is skewed to the right, with a mean of 255 seconds and a stan

dard deviation of 30 seconds. Part A: Can you accurately calculate the probability that the mean play time is more than 260 seconds for an SRS of 15 songs? Explain. (4 points) Part B: If you take a random sample of 40 songs instead of 15, explain how the Central Limit Theorem allows you to find the probability that the mean play time is more than 260 seconds. Calculate this probability and show your work. (6 points)
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

14.59%.

Step-by-step explanation:

Part A

You can not accurately calculate this because the SRS is not over 30. The CLT states that if the sample size is big enough, it will have a normal distribution. 15 is not big enough.

Part B

You can calculate this because the sample size is over 30; in this case, it is 40. So first, we have to find the standard deviation of the sampling distribution of the means. Which is done by taking the standard deviation and dividing it by the square root of the sample size, which comes out to be 4.74341649. Next, we throw it into the calculator in Normal CDF (260,9999,255,4.74341649). The final answer comes out to be 14.59%.

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Prime factorization of 43
Volgvan

Answer:

Step-by-step explanation:

Prime factorization: 43 is prime. The exponent of prime number 43 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 43 has exactly 2 factors.

8 0
2 years ago
How many<br> roots does the relation y = 4x² - 20x + 25 have? (2 marks)
Dovator [93]

Answer:

it has one root x=2/5

Step-by-step explanation:

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2 years ago
Help me please I am a idiot who doesn’t get math
lukranit [14]

To calculate the cuboid's volume, use height×width×length which is 11×11×16

For the cylinder's volume, use πr²h. in this case, it is 3.14×4²×9

Add up the two answers you get and that's the solution

7 0
2 years ago
Which expression is equivalent to 5y^3/(5y)^-2​
Serggg [28]

Answer:

5^3  y^5

125 y^5

Step-by-step explanation:

5y^3/(5y)^-2​

Distribute the exponent in the denominator

5y^3/(5 ^-2 y^-2)

A negative exponent in the denominator brings it to the numerator

5y^3 5 ^2 y^2​​

Combine like terms

5 * 5^2  * y^3 5^2

We know that a^b * a^c = a^(b+c)

5^(1+2) * y^( 3+2)

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6 0
3 years ago
The graph of an absolute value function has a vertex of (2,3) and crosses the x-axis at (−1,0) and (5,0). What is the equation f
frez [133]

Answer:

Option D.

Step-by-step explanation:

The vertex form of an absolute function is

y=a|x-h|+k

where, a is a constant, (h,k) is vertex.

It is given that, vertex of an absolute function is (2,3). So, h=2 and k=3.

y=a|x-2|+3   ...(1)

It crosses the x-axis at (5,0). So put x=5 and y=0 to find the value of a.

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Put a=-1 in (1).

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Now, put y=0, to find the equation for this absolute value function when y=0.

0=-|x-2|+3

Therefore, the correct option is D.

4 0
3 years ago
Read 2 more answers
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