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bazaltina [42]
3 years ago
11

Brennan is making a poster for the drama club's new production. it is a regular pentagon with side lengths of 12 inches. the sch

ool wants to put up a giant replica of the poster during athletic events. if the length of each side is 8 times the original, how many times larger is the area of the replica than the area of the original?
Mathematics
1 answer:
Llana [10]3 years ago
8 0
There are 5 sides to a pentagon, 12 inches each side, so a total of 60 inches. If you then make it 8 times bigger, 60 × 8 = 480 inches , 96 inches each side
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Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th
Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 550}{100}

X - 550 = 100*1.28

X = 678

The value that represents the 90th percentile of scores is 678.

4 0
3 years ago
I need help with this question.
Svet_ta [14]

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
Which expression is equal to 1/8000 written in scientific notation?
Shkiper50 [21]
Since 1/8000 is 0.000125, we can move the decimal 4 terms to the right.

So that will be 1.25 • 10^-4
Choice B
5 0
2 years ago
We call a number peachy if every digit in the number is either a 3 or next to a $3.$ For example, the numbers 333, 83, 303 and 3
Kobotan [32]

Answer:

18

Step-by-step explanation:

33-1

3r-9

r3-8

r means random digit

9+8+1=19

7 0
3 years ago
A family wants to rent a car to go on vacation. Company A charges $50.50 and 9c per mile.
hjlf
<h3>Answer:  0.05x+10</h3>

Work Shown:

x = number of miles

Cost of company A = 0.09x+50.50

Cost of company B = 0.14x+60.50

Subtract the two expressions (B-A) to find the difference in price

B-A = (0.14x+60.50)-(0.09x+50.50)

B-A = 0.14x+60.50-0.09x-50.50

B-A = (0.14x-0.09x) + (60.50-50.50)

B-A = 0.05x+10

8 0
2 years ago
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