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postnew [5]
3 years ago
13

Consider the line y= -1/2x+5

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

For a line to be parallel, it needs to have same slope so the slope is -1/2 for parallel.

The slope for perpendicular is the negative reciprocal so 2.

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A recent study found that the average life expectancy of a person living in Africa is 53 years with a standard deviation of 7.5
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Answer:

0.945200708

Step-by-step explanation:

In this question, we are asked to calculate the probability that a person selected at random would live less than 65.

To solve this problem, what we need to do is to first calculate the z-score.

Mathematically, z = (x-mean)/standard deviation

According to the question, the mean is 53 years and the standard deviation is 7.5

Substituting these values in the z-score equation:

Z-score = (65-53)/7.5 = 12/7.5 = 1.6

We proceed to use the z-score table to obtain the probability. Using the table, z score of 1.6 corresponds to a probability of

0.945200708

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