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Ann [662]
3 years ago
10

James works as a tutor and a lawn mower. Both jobs require that he work at least three hours per week. Since James attends schoo

l, he can only work 15 hours a week. If James is paid $20 per hour as a tutor and $10 per hour as a lawn mower, which of the following is true about the number of hours he can work as a tutor (t) and lawn mower (m)?

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0
Answer: The correct choice is that he can maximize his earnings by working 12 hours as a tutor and 3 hours as a lawn mower.

James will make the most money by working at the job that pays him the most. However, he has to work at least 3 hours at $10 per hour. 

Therefore, he should work only 3 mowing lawns and the rest tutoring.
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A survey of 225 students showed the mean number of hours spent studying per week was 20.6 and the standard deviations was 2.7
LekaFEV [45]

Answer:

The margin of error is approximately 0.3

Step-by-step explanation:

The following information has been provided;

The sample size, n =225 students

The sample mean number of hours spent studying per week = 20.6

The standard deviation = 2.7

The question requires us to determine the margin of error that would be associated with a 90% confidence level. In constructing confidence intervals of the population mean, the margin of error is defined as;

The product of the associated z-score and the standard error of the sample mean. The standard error of the sample mean is calculated as;

\frac{sigma}{\sqrt{n} }

where sigma is the standard deviation and n the sample size. The z-score associated with a 90% confidence level, from the given table, is 1.645.

The margin of error is thus;

1.645*\frac{2.7}{\sqrt{225}}=0.2961

Therefore, the margin of error is approximately 0.3

5 0
3 years ago
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2.
dimaraw [331]

Answer:

-7 < -4 < 0 < 7

Step-by-step explanation:

Given

Change: -4, 7, -7 and 0

Required

Compare them

From the list of given options, we can observe that the inequality < is used in all options.

This implies that we arrange from least to highest

The least is -7

Then, -4

Then 0

And lastly, 7

So, we have:

-7 < -4 < 0 < 7

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2 years ago
Sipho made a 12.5% when he sold a coat for E437.50 .calculate original cost of the coat​
kaheart [24]

Answer:

E500

Step-by-step explanation:

Given x the original price of the coat

437.5 + 0.125x = x

437.5 = 0.875x

x = E500

8 0
3 years ago
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Step-by-step explanation:

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