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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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drek231 [11]

Answer:

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Step-by-step explanation:

The null hypothesis is:

H_{0} = 28

The alternate hypotesis is:

H_{1} < 28

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position.

This means that n = 50, X = 26

Assume the population standard deviation is 6.2 weeks.

This means that \sigma = 6.2

Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

We have to find the pvalue of Z, looking at the z-table, when \mu = 28. It if is lower than 0.05, it provides evidence.

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}

z = -2.28

z = -2.28 has a pvalue of 0.0113 < 0.05.

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

5 0
2 years ago
The length of a rectangle is 3 inches more than it width.The perimeter of the rectangle is 34 inches. The length of the rectangl
kodGreya [7K]

Answer:

Width = 7 inches

Length = 10 inches

Step-by-step explanation:

We know the 2(length + width) = 34, and we know that length = 3+width. Therefore, we can use substitution. 2(3+width+width) = 34, and we can see that the width is 7. The length of the rectangle is 7+3=10

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3 years ago
Convert 4.5% to a decimal
Jobisdone [24]

Answer:

0.045

Hope this helpful! Have a great night/day!

7 0
2 years ago
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Step-by-step explanation:

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Jamal recorded the daily high temperatures over a two week period
lorasvet [3.4K]

Answer:

A. 4

Step-by-step explanation:

First rearrange the temperatures from low to high

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Interquartile range = Q3 - Q1 = 73 - 69 = 4

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