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Marina CMI [18]
4 years ago
8

A map scales reads: 2 inches = miles. Which distance does 6 inches represent

Mathematics
1 answer:
djverab [1.8K]4 years ago
3 0
3 miles
2 inches per mile and there is 6 inches
6 divided by 2 is 3
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The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
Alex

Answer:

9 and 18

Step-by-step explanation:

x+y=27\\x=2y\\2y+y=27\\3y=27\\y=27/3=9\\x=27-9=18

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A group of friends wants to go to the amusement park. They have $87.25 to spend on parking and admission. Parking is $6.25, and
Snezhnost [94]

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p = 3

Step-by-step explanation:

27p + 6.25 = 87.25

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p = 3

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Find the rate of change
vesna_86 [32]

Answer:

11

Step-by-step explanation:

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When Y changes from -40 to 4, that is an increase of 44 (4--40=4+40=44), so the change in Y is +44.  The corresponding change in X is from -3 to 1, so the change in X is +4 (1--3=1+3=4).  The ratio of the change in Y to the change in X is 44/4=11.

Try doing the same computation going from the second row to the third row and you will get the same ratio of 11.

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My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and
Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 hours.

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 = 1600, \sigma = 70

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.

So it is X when Z = -2.33.

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

-2.33 = \frac{X - 1600}{70}

X - 1600 = -2.33*70

X = 1436.9

The bulbs should be replaced each 1436.9 hours.

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