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azamat
3 years ago
11

PLEASE HELP SOMEONE!!!

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

y = -2x

Step-by-step explanation:

For direct variation:  y = kx, where k is the constant of proportionality.

Given that Y equals -12 when x equals 6, we have -12 = k(6).  Solve this for k by dividing both sides by 6:

k = -12/6 => k = -2

Then the "direct variation equation" here is y = -2x.

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What is 7a+21=56 and what is the solution
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7a+21=56

Begin by subtracting 21 on both sides:
21-21=0 so the 21 in the left cancels, then 56-21=35

Your new equation will be
7a=35

Finally, divide by 7 on both sides:
7/7=1 and 35/7=5

your answer will be
a=5
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A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down du
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Answer:

4.01% probability that the battery will break down during the warranty period

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 45, \sigma = 12

a. What is the probability that the battery will break down during the warranty period

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4.01% probability that the battery will break down during the warranty period

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