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vladimir1956 [14]
3 years ago
12

Mary's sink was clogged, so she called a plumber. The plumber charges a service fee of $50 as well as $25 for each hour he worke

d. If mary paid $135.50, write an EQUATION to find the number of hours, h, that the plumber worked.
Mathematics
1 answer:
Katen [24]3 years ago
6 0

Answer: The plumber worked 3.42 hours

Step-by-step explanation:

25h+50=135.50 (minus 50 to both sides)

25h=85.50 (divide 25 to both sides)

h=3.42

Check:

25(3.42)+50=135.50

85.50+50=135.50

135.50=135.50

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2 years ago
For a proof by induction of the math statement below, identify the correct step for proving the theorem is true for n = k + 1. H
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4 0
3 years ago
The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati
Effectus [21]

Answer:

His jump was of 272.45 inches

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.

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\mu = 263, \sigma = 14

75th percentile

X when Z has a pvalue of 0.75. So X when Z = 0.675

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

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X - 263 = 14*0.675

X = 272.45

His jump was of 272.45 inches

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3 years ago
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