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irga5000 [103]
3 years ago
5

A high school track is shaped as a rectangle with a half circle on either side.

Mathematics
2 answers:
RSB [31]3 years ago
6 0

Answer:

1,207.6 m

Step-by-step explanation:

the big brain hahaha jk i just took the test and got 100%

vesna_86 [32]3 years ago
3 0

Answer:

1,207.6 m

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The perimeter of the high school track is equal to the sum of the length of rectangle multiplied by 2 plus the circumference of a circle (remember that the sum of the circumference of two semicircles is equal to the circumference of one circle)

so

P=2L+\pi D

we have

L=96\ m\\D=35\ m

substitute

P=2(96)+(3.14)(35)=302.9\m

Multiply the perimeter by 4 (because Jake plans on running four laps)

so

302.9(4)=1,207.6\ m

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3 years ago
1000 was invested at 5.5% interest, compounded annually. After sometime the amount had grown to 1550. How long was the money inv
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compound interest equation for annually compounded

A=P(1+r)^t

A=final amount

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Bryce, a top landscape architect, was given a special garden design job. The client owned a property as shown below, in which he
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Suppose the true proportion of high school juniors who skateboard is 0.18. If many random samples of 250 high school juniors are
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Answer:

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Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Suppose the true proportion of high school juniors who skateboard is 0.18.

This means that p = 0.18

Samples of 250 high school juniors are taken

This means that n = 250

By how much would their sample proportions typically vary from the true proportion?

This is the standard error, so:

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s = 0.024

So 0.024 is the answer.

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