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Komok [63]
2 years ago
13

Marlene is solving a number puzzle involving three rational numbers a, b, and c. Here are her clues:

Mathematics
1 answer:
rusak2 [61]2 years ago
5 0
A/c = 8.....a = 8c
a * c = 2 ...a = 2/c
a/b = -16 ...a = -16b
a * b = -1....
b/c = -0.5

2/c = 8c
2 = 8c^2
1/4 = c^2
sqrt 1/4 = c
0.5 (or 1/2) = c <===

a * c = 2
0.5a = 2
a = 2/0.5
a = 4 <===

a = -16b
4 = -16b
4/-16 = b
-1/4 (or - 0.25) = b <===
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5/6 w

Step-by-step explanation:

reorder the terms ( use the commuative property)

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Last week, you went to the water park with friends on Monday, Wednesday, and Friday. If you stayed at the water park 3.5 hours e
Vikentia [17]

Answer: D. 10.5 hours

Step-by-step explanation:

3 days, 3.5 hours each

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3 years ago
Read 2 more answers
Mariah Jacobsen is the marketing manager at ABC Electronics, a major consumer electronics supplier in the northwest. Over the la
o-na [289]

Answer:

0.6568 = 65.68% probability that she would be correct.

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.

45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so.

This means that:

\mu = \frac{45000 + 45500 + 44500 + 46000 + 44000}{5} = 45000

Standard deviation of 1500 units.

This means that \sigma = 1500

What is the likelihood that she would be correct if she predicts sales between 43000 and 46000?

This is the pvalue of Z when X = 46000 subtracted by the pvalue of Z when X = 43000. So

X = 46000

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

Z = \frac{46000 - 45000}{1500}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486

X = 43000

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

Z = \frac{43000 - 45000}{1500}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918

0.7486 - 0.0918 = 0.6568

0.6568 = 65.68% probability that she would be correct.

5 0
3 years ago
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