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Oksi-84 [34.3K]
3 years ago
14

3a. The average for the statistics exam was 75 and the standard deviation was 8.

Mathematics
1 answer:
hjlf3 years ago
3 0

Answer:

63

Step-by-step explanation:

The formula to when given the number of standard deviations below the mean x =μ - nσ

Where:

x = raw score

μ is the population mean = 75

σ is the population standard deviation = 8.

n = number of standard deviations below the mean

Hence

x = 75 - 1.5 × 8

x = 75 - 12

x = 63

Therefore, Andrey's exam score is 63

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arthur wants to buy an item that costs p dollars before tax. using a 6% sales tax rate, write two different expressions that rep
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For this case we have the following variable:

p: cost of the item that Arthur wants to buy before tax

The expression for the 6% tax is given by:

\frac{6}{100} p

Or equivalently:

0.06p

Therefore, two different expressions for the total cost are:

Expression 1:

p + \frac{6}{100} p

Expression 2:

p + 0.06p

To prove that they are equal, suppose that the item costs $ 100:

Expression 1:

p + \frac{6}{100} p

100+ \frac{6}{100} 100

100 + 6

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Expression 2:

p + 0.06p

100 + 0.06 (100)

100 + 6

106

Since the cost is the same, then the expressions are the same.

Answer:

Two different expressions that model the problem are:

p + \frac{6}{100} p

p + 0.06p

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