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Ganezh [65]
3 years ago
10

If a 25 ft rope is cut into two sections with one section 4 times as long as the other section, how long is the shorter piece?

Mathematics
1 answer:
DaniilM [7]3 years ago
7 0
X = short section of rope
4x = longer section of rope

x + 4x = 25
5x = 25
x = 5

…or in other words the shorter piece of rope is 5 feet long
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est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean
Arte-miy333 [17]

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

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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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so \mu = 79, \sigma = 4.5

Student got 84, so X = 84

The z-score is:

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

Z = \frac{84 - 79}{4.5}

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Student got 96, so X = 96

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3 years ago
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Answer:

See below.

Step-by-step explanation:

a)

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