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3 years ago

On a scale drawing a school is 1.6 tall the scale factor is 1/22 find the height of the school

1 answer:

3 0

In this problem,think of it this way. 1 is to 22 as 1.6 is to X.

When you solve for X you will have the height of your school

all you need to do is multiply 1.6 by 22 and you've got it!

Cheers!

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A group of high school athletes has an average GPA of 2.7 with a standard deviation of 0.9. a)Find the percentage of athletes wh

mart [117]

Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

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:

$\mu = 2.7, \sigma = 0.9$

a)Find the percentage of athletes whose GPA more than 1.665.

This is 1 subtracted by the pvalue of Z when X = 1.665. So

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

$Z = \frac{1.665 - 2.7}{0.9}$

$Z = -1.15$

$Z = -1.15$ has a pvalue of 0.1251

1 - 0.1251 = 0.8749

The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.

His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.

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

$1.05 = \frac{X - 2.7}{0.9}$

$X - 2.7 = 1.05*0.9$

$X = 3.645$

John's GPA is 3.645.

8 0

3 years ago

martha bought an apple for $0.89 and a drink for $1.95 which is the best estimate of how much money she spent? can someone plz h

77julia77 [94]

Okay first we add them:
0.89 + 1.95 = 2.84
Then we estimate them to the tenths place:
2.84 (estimated to) 2.80
Since the number in the ones place is less than 5, we estimate to 80.

6 0

3 years ago

Read 3 more answers

Convert 6/9 into a fraction with a denominator of 27. 6/27 12/27 9/27 18/27

Sonja [21]

The answer would be the last one 18/27 because you would multiply 9 x 7 = 27 so then you would have to multiply the top by that too so 6 x 3 = 18 giving you 18/27

3 0

3 years ago

Read 2 more answers

The polynomial p(x)=x^3-6x^2+32

shtirl [24]

Answer:

x^(3)+6x^(2)-32

Step-by-step explanation:

You need to set the original equation equal to 0.

7 0

3 years ago

Please help me with this!!