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Oliga [24]
3 years ago
11

An electrician charges $40 per hour for service calls up to eight hours, but increases this rate by 50% for additional hours. Th

e electrician will not work more than twelve hours per service call and also charges a $25 trip charge. The graph provides a visual for customers. If the electrician doubles the normal hourly rate, and still increases the rate by 50% for additional hours, how will the graph change? A) The y-intercept will be (0, 50), the slopes of the line segments will 40 and 60, and the range will be [50, 1170]. B) The y-intercept will be (0, 25), the slopes of the line segments will 80 and 120, and the range will be [25 1170]. C) The y-intercept will be (0, 50), the slopes of the line segments will 80 and 120, and the range will be [50, 1145]. D) The y-intercept will be (0, 25), the slopes of the line segments will 80 and 120, and the range will be [25, 1145].
Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0

Answer:

gg

Step-by-step explanation:

this is to much

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An engineer commutes daily from her suburban home to her midtown office. The average time for a one-way trip is 36 minutes, with
Ivanshal [37]

Answer:

57.93% probability that a trip will take at least 35 minutes.

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 = 36, \sigma = 4.9

What is the probability that a trip will take at least 35 minutes

This probability is 1 subtracted by the pvalue of Z when X = 35. So

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

Z = \frac{35 - 36}{4.9}

Z = -0.2

Z = -0.2 has a pvalue of 0.4207

1 - 0.4207 = 0.5793

57.93% probability that a trip will take at least 35 minutes.

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3 years ago
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