Sarah is making a scale drawing of a painting that is 60 in. wide by 120 in. high. Her paper is 15 in. wide and 25 in. tall. She
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The equivalent expression is .
We have the following expression -
We have to find its equivalent value.
<h3>What is the equivalent expression of the following expression-</h3>In order to divide two exponents with same base, we use the 'Quotient property of exponents.
The equivalent expression can be written as -
f(x, y) =
In the question given we have -
Using the property discussed above -
=
=
Hence, the equivalent expression is .
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Using the normal distribution, it is found that the probability is 0.16.
<h3>Normal Probability Distribution</h3>In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem, the mean and the standard deviation are given by, respectively, .
The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:
X = 67:
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at brainly.com/question/24663213