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dedylja [7]
3 years ago
9

Ava estimates that 475 songs will fit on her iPad. The actual amount of songs that fit is 350. Find her percent of error.

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

Given:

Ava estimates that 475 songs will fit on her iPad.

The actual amount of songs that fit is 350.

To find:

The percent of error.

Solution:

We know that,

\text{Percent error}=\dfrac{\text{Estimated values - Actual value}}{\text{Actual value}}\times 100

Putting the given values, we get

\text{Percent error}=\dfrac{475-350}{350}\times 100

\text{Percent error}=\dfrac{125}{350}\times 100

\text{Percent error}=\dfrac{250}{7}

\text{Percent error}\approx 35.71\%

Therefore, the percent of error is 35.71%.

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A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5
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Answer:

7.3% of the bearings produced will not be acceptable

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 0.499, \sigma = 0.002

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So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.

Larger than 0.504

1 subtracted by the pvalue of Z when X = 0.504.

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

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Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.0668 + 0.0062 = 0.073

7.3% of the bearings produced will not be acceptable

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