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Akimi4 [234]
3 years ago
10

The length of time needed to complete a certain test is normally distributed with mean 46 minutes and standard deviation 6 minut

es. Find the probability that it will take less than 37 minutes to complete the test.
Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

0.0668 or 6.68%

Step-by-step explanation:

Mean time (μ)= 46 minutes

Standard deviation (σ) = 6 minutes

The z-score for any given time X is determined by:

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

For X = 37:

z=\frac{37-46}{6}\\ z=-1.5

A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution. The probability that it will take less than 37 minutes to complete the test is

P(X\leq 37) = 0.0668=6.68\%

The probability is 0.0668 or 6.68%

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7 0
3 years ago
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The age of a father is to less than seven times the age of his son in three years the sum oftheir ages will be 52 if the sons pr
vekshin1

Answer:

The correct answer is:

(7s-2)+3+(s+3) = 52, or 8s+4 = 52.

Step-by-step explanation:

Since s is the son's age, "two less than seven times" the son's age would be represented by 7s-2. To represent this in 3 years, we would add 3: (7s-2)+3. In 3 years, the son's age, s, would be represented by s+3. We are told that the sum of these ages will be 52; this gives us (7s-2)+3+(s+3) = 52.

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3 years ago
Write a few sentences about different ways to show subtraction for a problem 32-15.
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Answer:

H₀: μs = μf

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Step-by-step explanation:

Hello!

If the company wants to compare the sales of both departments "snacks" and "frozen foods" to see if there is any difference, the best is to compare the average number of sales of them.

Then the parameters of interest will be:

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I hope it helps!

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