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just olya [345]
4 years ago
9

Professor Heinz has given the same multiple-choice final exam in his Principles of Microeconomics class for many years. After ex

amining his records from the past 10 years, he finds that the scores have a mean of 76 and a standard deviation of 12. Use an appropriate normal transformation to calculate the probability that a class of 36 students will have an average greater than 72 on Professor Heinz's final exam.
Mathematics
1 answer:
Ludmilka [50]4 years ago
5 0

Answer:

0.97725

Step-by-step explanation:

Given that Professor Heinz has  given the same multiple-choice final exam in his Principles of Microeconomics class for many years. After examining his records from the past 10 years, he finds that the scores have a mean of 76 and a standard deviation of 12.

i.e. \mu = 76\\\sigma = 12\\\bar x = 72\\n = 36

Std error of mean = sigma/sqrt n = 2

Thus the sample mean is N(76,2)

Required probability =  probability that a class of 36 students will have an average greater than 72 on Professor Heinz's final exam.

=P(X>72)\\= P(Z>-2)\\=0.97725

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8 0
3 years ago
Solve the exponential equation.<br><br> 1/16 = 64x<br><br> a. -2/3<br> b. 2/3<br> c. 3/2
valkas [14]
We have that
1/16 = 64<span>^x
applying log both sides
log(1/16)=log(</span>64^x)
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divide by log 64 both sides
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5 0
4 years ago
The graph of the equation y=f(x) passes through the points (-3,-5), (-2,-3),(0,1) and (4,9). What is the value of y in the equat
lapo4ka [179]
<h3>Answer:</h3>

-5

<h3>Explanation:</h3>

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Hence the first ordered pair listed, (-3, -5), means that when x = -3, f(x) = -5. In other words, f(-3) = -5. By the transitive property of equality,

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3 years ago
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Answer:

yes

Step-by-step explanation:

because we are simply "adding" 2 negative numbers.

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THERE would be a problem.

but again, by also keeping the signs with the terms, it is all OK.

so, yes, we could also do

8n - 7 = -7 + 8n

that is true again.

4 0
3 years ago
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