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3 years ago

12

Rosa has a rectangular picture frame that measures 9 inches by 16 inches. What is the diagonal distance across the frame? You ma

y want to draw a sketch to help you solve the problem. Round your answer to the nearest tenth if necessary.

1 answer:

Sloan [31]3 years ago

3 0

72 is the correct answer

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3 years ago

A quantitative data set has mean 23 and standard deviation 2. At least what percentage of the observations lie between 15 and 31

Elan Coil [88]

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Atleast 93.75% of data lies between 15 and 31.

Step-by-step explanation:

We are given the following in the question:

Mean = 23

Standard deviation = 2

We have to find he data lying between 15 and 31.

$15 = 23 - 4(2) = \mu - 4\sigma\\31 = 23 + 4(2) = \mu + 4\sigma$

Thus, we have to find the data lying within 4 standard deviation from the mean.

Chebyshev's Theorem:

According to this theorem atleast $1 - \dfrac{1}{k^2}$ percent of data lies within k standard deviation of mean.
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$1 - \dfrac{1}{(4)^2} = 0.9375 = 93.75\%$

Thus, atleast 93.75% of data lies between 15 and 31.

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3 years ago