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sashaice [31]
1 year ago
11

Angie earns $9.00 an hour at her job. • She works 15 hours a week. • She receives a 5% raise. How much more money will she earn

each week after her raise?
Mathematics
1 answer:
12345 [234]1 year ago
6 0

First we have to find how much she earns each week before the raise. For this we multiply Angies earnings per hour by the amount of hours she works per week:

9.00\times15=135

Angie earns $135 per week. Now she get's a raise of 5%. We need to find 5% of $135 and then add it to $135:

\text{raise}=135\times\frac{5}{100}=135\times0.05=6.75

After the raise, Angie earns $6.75/week more than before the rise. So:

135+6.75=141.75

Angie will earn $141.75 a week after the raise

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In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
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Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

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The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0
3 years ago
7m + 3mn when m = 8 and n = 14
Kazeer [188]

Answer:

392

Step-by-step explanation:

m = 8 and n = 14

Substituting the values of m and n in the question, we get :

7m + 3mn

=( 7 x 8) +(3 x 8 x 14)

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= 392

8 0
3 years ago
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What is the answer ?how can I find it?
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The per store donated 11 and 3/8 pounds of cat food... first you gotta make the denominators equal so 19 and 3/4 becomes 19 and 6/8 then you add the puppy and dog food together (19 6/8 +18 7/8= 38 5/8) then you take 50 and subtract the value you just got (50 - 38 5/8) and you get tour answer at 11 and 3/8 pounds
6 0
3 years ago
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