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VMariaS [17]
3 years ago
13

It takes Emma 18 minutes to type and spell check 14 pages of a manuscript. Find how long it takes her to type and spell check 77

pages. Round to the nearest whole number if necessary
Mathematics
2 answers:
xxMikexx [17]3 years ago
8 0

Answer:

The ratio is 18:14.

Then, we have to divide 77 by 18.

It is 4.277777777..., rounded by 4.

Then, we multiply 18 * 4.277777777...

so, It is 76.99999...

and finally, It is 77.

NNADVOKAT [17]3 years ago
7 0

Answer:

99 minutes, or an hour and 39 minutes.

Step-by-step explanation:

It takes Emma 18 minutes to do 14 pages. That means that we can set up a proportion, where Emma uses 18 minutes to do 14 pages, which is equal to x minutes per page!

\frac{18}{14} =\frac{x}{1}

14x = 18

7x = 9

x = 9/7

So, each page takes 9/7 minutes for Emma to finish.

She will do 77 pages. 77 * (9/7) = 11 * 9 = 99.

So, it will take Emma 99 minutes, or an hour and 39 minutes, to type and spell check 77 pages.

Hope this helps!

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A marketing research company needs to estimate the average total compensation of CEOs in the service industry. Data were randoml
mezya [45]

SOLUTION:

Step 1 :

In this question, we are told that a marketing research company needs to estimate the average total compensation of CEOs in the service industry.

We also have that: Data were randomly collected from 38 CEOs and the 98% confidence interval was calculated to be ($2,181,260, $5,836,180).

Then, we are asked to find the margin error for the confidence interval.

Step 2:

We need to recall that:

\text{Higher Confidence Interval, CI}_{H\text{ = }}X\text{ + }\frac{Z\sigma}{\sqrt[]{n}}\text{Lower Confidence Interval , CI}_{L\text{ }}=\text{ X - }\frac{Z\sigma}{\sqrt[]{n}}

It means that:

\vec{}X\text{ = }\frac{CI_{H\text{ }}+CI_L}{2}\text{Margin of error, }\frac{Z\sigma}{\sqrt[]{n}\text{ }}\text{ = }\frac{CI_{H\text{ - }}CI_L}{2}

where,

CI_H\text{ = }$$5,836,180$\text{ }$$$CI_{L\text{ }}=\text{ }2,181,260

putting the values into the equation for the margin of error, we have that:

\text{Margin of error,}\frac{Z\sigma}{\sqrt[]{n}\text{ }}\text{ = }\frac{5,836,180\text{  - }2,181,260\text{ }}{2}\begin{gathered} =\text{ }\frac{3654920}{2} \\ =1,\text{ 827, 460} \end{gathered}

CONCLUSION:

The margin error for the confidence interval is 1, 827, 460

5 0
1 year ago
A T-shirt shop charges a $25 set-up fee for a new T-shirt design and $6 for every shirt ordered. Which equation best represents
Reptile [31]

Answer:

y = 25 + 6x

Step-by-step explanation:

<em>The given options are not in anyway related to the question. So, I will do away with them.</em>

Given

Set-up\ Fee = \$25

Per\ Shirt = \$6

Required

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Let

y represents the total cost

x represents the number of shirts

The relationship between x and y is:

y = Setup\ Fee + Amount\ Per\ Shirt * x

This gives:

y = 25 + 6* x

y = 25 + 6x

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3 years ago
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VladimirAG [237]

Answer:

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4 0
3 years ago
A group of researchers wants to develop an experiment to determine whether a new drug effectively treats cancer. The researchers
yawa3891 [41]

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Part B: Those assigned to the control take a sugar pill. The only thing you want to vary across groups when you're conducting an experiment is the treatment. Since taking pills is a part of taking medication (the treatment), medical experiments often employ something called a placebo-controlled study where outcomes for those who are randomly assigned to take the medication are compared to outcomes for those who are randomly assigned to take a sugar pill. The sugar pill is expected to have no effect, so it serves as a useful baseline to compare the treatment to.

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8 0
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yawa3891 [41]

Answer:

3.331 , 3.313 , 3.133 , 1.333

Step-by-step explanation:

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4 0
3 years ago
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