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Alex
2 years ago
15

A square piece of cheese covers 10 square inches of a plate. What is the approximate length of one side of the piece of cheese?

(Approximate to the nearest hundredth inch.)
3.14 inches
3.15 inches
3.16 inches
3.17 inches
Mathematics
2 answers:
Rus_ich [418]2 years ago
7 0

Answer:

3.16 is the answer

Hope it helps!

Step-by-step explanation:

Airida [17]2 years ago
3 0

Answer:

3.16 inches

Step-by-step explanation:

Sqrt 10 = 3.16 inches

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A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
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Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

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3 years ago
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Step-by-step explanation:

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