Question

1 answer:

7 0

V= π r^2 h

r= radius
h= height

If the radius was 10 ft and the height was 12ft then the answer be about 3769.91.

However if it was reversed and the radius was 12ft and the height was 10 ft then the answer would be about 4523.89.

3769.92≈ π 10^2 12

or

4523.89≈ π 12^2 10

(Question was not correctly specified)

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What is (6^3)^4 simplified

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The average life of individual is 70 years. With a standard deviation of 5.5 years. Assume that the lives of these individuals i

Harlamova29_29 [7]

Answer:

The answer is below

Step-by-step explanation:

Given that:

mean (μ) = 70 years, standard deviation (σ)= 5.5 years.

a) The z score measures how many standard deviation a raw score is above or below the mean. It is given as:

$z=\frac{x-\mu}{\sigma}$ , for a sample size of n, the z score is: $z=\frac{x-\mu}{\sigma/\sqrt{n} }$

Given a sample of 5 turtles, we have to calculate the z score for x = 60 and x = 80.

For x = 60:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{60-70}{5.5/\sqrt{5} } =-4.07$

For x = 80:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{80-70}{5.5/\sqrt{5} } =4.07$

The probability that a mean life of a random sample of 5 such turtles falls between 60 and 80 years = P(60 < x < 80) = P(-4.07 < z < 4.07) = P(z < 4.07) - P(z < -4.07) = 1 - 0 = 1 = 100%

b) The z score that corresponds to top 10% is -1.28.

$z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\-1.28=\frac{x-70}{5.5/\sqrt{5} }\\ x-70=-3\\x=70-3\\x=67\ years$