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Natalka [10]
3 years ago
14

Which ratio is equivalent to the ratio 39 and 42

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0
78 and 84 this is because 78 and 84 simplifies to 39 and 42
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The toasters produced by a company have a normally distributed life span with a mean of 5.8 years and a standard deviation of 0.
andreev551 [17]

Answer:

d. 4.6 years

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 5.8, \sigma = 0.9

What warranty should be provided so that the company is replacing at most 10% of their toasters sold?

Only those on the 10th percentile or lower will be replaced.

So the warranty is the value of X when Z has a pvalue of 0.10.

So it is X when Z = -1.28

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

-1.28 = \frac{X - 5.8}{0.9}

X - 5.8 = -1.28*0.9

X = 4.6

So the correct answer is:

d. 4.6 years

7 0
3 years ago
Lowest term fraction 4/12 9/15 2/4 5/6
-Dominant- [34]
4/12=1/3
9/25=3/5
2/4=1/2
5/6=5/6
hope that helped
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4 years ago
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Step-by-step explanation:

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