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fgiga [73]
3 years ago
5

What is the least common multiple of 12 and 7?

Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0

84

Least common multiple (LCM) of 7 and 12 is 84.

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Step-by-step explanation:

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A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is
Darya [45]

Answer:

15.87% probability that the car travels more than 53 miles per gallon.

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 = 45, \sigma = 8

Find the probability of the following events: A. The car travels more than 53 miles per gallon. Probability

This is the pvalue of Z when X = 53. So

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

Z = \frac{53 - 45}{8}

Z = 1

Z = 1 has a pvalue of 0.8413

1 - 0.8413 = 0.1587

15.87% probability that the car travels more than 53 miles per gallon.

5 0
3 years ago
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