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olasank [31]
3 years ago
6

1.) Divide $80 among three people so that the second will have twice as much as the first, and the third will have $5 less than

the second.
2.) Justin has $50, which is eighty dollars more than twice what Leo has. How much does Leo have?

3.) Clara spent $35 at the market. This was seven dollars less than three times what she spent at the bookstore. How much did she spend there?

4.)There are b marbles. This is four more than twice the number of red marbles. How many red marbles are there?

5.) Jenna spent $100 on books. This was k dollars less than five times what she spent on lunch. How much did she spend on lunch?

6.) A class of 50 students is divided into two groups. One group has eight less than the other. How many are in each group?

7.) the sum of two numbers is 72, and one of them is five times the other. What are the two numbers?
Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0
1 ) The first person will have $17. The second person will have $34 and the third person will $29.
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A researcher wishes to​ estimate, with 9090​% ​confidence, the proportion of adults who have​ high-speed Internet access. Her es
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Answer:  a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : z_{\alpha/2}=1.645

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271

Required minimum sample size= 271

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