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sineoko [7]
3 years ago
7

89 more tan the quotient of an unknown number and 62is 94 what is the value of the unknown number

Mathematics
1 answer:
alexira [117]3 years ago
4 0
So,

"89 more than" = 89 +

"the quotient of an unknown number and 62" = 62 over x

"is 94" = 94

89 +  \frac{62}{x} = 94

Multiply both sides by x.
89x + 62 = 94x

Subtract 89x from both sides.
62 = 5x

Divide both sides by 5.
\frac{62}{5} = x

Simplify.
12 \frac{2}{5}\ or\ 12.4 = x
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Answer:

The limit that 97.5% of the data points will be above is $912.

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 = 1500, \sigma = 300

Find the limit that 97.5% of the data points will be above.

This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.

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

-1.96 = \frac{X - 1500}{300}

X - 1500 = -1.96*300

X = 912

The limit that 97.5% of the data points will be above is $912.

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