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dedylja [7]
3 years ago
10

In one town, the number of pounds of sugar consumed per person per year has a mean of 8 pounds and a standard deviation 3 of 20

pounds Tyler consumed 13 pounds of sugar last year How many standard deviations from the mean is that? Round your4 answer to two decimal places
A. 250 standard deviations above the mean
B. 2.50 standard deviations below the mean
c. 167 standard deviations above the mean
D. 167 standard deviations below the mean
Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer:

c. 1.67 standard deviations above the mean

Step-by-step explanation:

The z-score measures how many standard deviations a score X is from the mean. It is given by the following formula:

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

In which \mu is the mean and \sigma is the standard deviation.

A positive z-score means that X is above the mean, and a negative Z-score means that X i below the mean.

In this problem, we have that:

\mu = 8, \sigma = 3

Tyler consumed 13 pounds of sugar last year How many standard deviations from the mean is that?

This is Z when X = 13. So

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

Z = \frac{13 - 8}{3}

Z = 1.67

So this is 1.67 standard deviations above the mean.

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7 0
2 years ago
Susan, Deon, and Felipe sent a total of 160 text messages during the weekend. Felipe sent 4 times as many messages as Susan. Deo
Romashka [77]

Answer:

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Deon sent 35 messages

Step-by-step explanation:

160 = x + 4x + x + 10

160 = 6x + 10

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7 0
3 years ago
Why 1+1+1+1+...+1 is not geometric sequence
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4 0
3 years ago
A garden in the shape of a trapezoid has an area of 44.4 square
Leviafan [203]

Answer:

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Step-by-step explanation:

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Here, a = 4.3, b=10.5, and h is unknown.

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The height of the trapezoid is the width of the garden, so the garden is 37 meters wide.

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Answer:

22

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3. Once ran through a calculator you should end up with a value of 22

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