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kolezko [41]
2 years ago
8

Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone. What is

the value of r, the part of the tile that Hector could install in 1 hour?
Mathematics
2 answers:
laiz [17]2 years ago
3 0
The product of the sum of the their rates and the time it took them to finish the job should be equal to one whole job. This may be expressed by the equation,
                            (1/9 + r) x 6 = 1
Solving for the value of r gives an answer of r = 1/18. Thus, Hector does 1/18 of the job in 1 hour.
Umnica [9.8K]2 years ago
3 0

Answer:

a. 1/18

Step-by-step explanation: just took the test

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A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records
ra1l [238]

Answer:

35 red marbles

Step-by-step explanation:

So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.

6 0
2 years ago
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The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find
Naya [18.7K]
All you would do is times 12 by .15 or 15% you get 1.8 then all you do is 12 minus 1.8 you get $10.20 that is the price of a discounted pizza 

I hope this helps


8 0
2 years ago
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Ming needs 1/2 pint of red paint for an art project. He has 6 jars that have the following amounts of red paint in them. He want
Dmitrij [34]
The possible answers are A C and D because they all have at least a half pint of paint.
5 0
2 years ago
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MO, MN, and ON are the midsegments of △JKL. What is the perimeter of △JKL? 6 9.5 11.5 19
ipn [44]
Answer is 19  just got it right 
6 0
2 years ago
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A marketing firm wants to estimate how much root beer the average teenager drinks per year. A previous study found a standard de
Verdich [7]

Answer:

At least 832 teenargers must be interviewed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many teenagers must the firm interview in order to have a margin of error of at most 0.1 liter when constructing a 99% confidence interval

At least n teenargers must be interviewed.

n is found when M = 0.1.

We have that \sigma = 1.12

So

M = z*\frac{\sigma}{\sqrt{n}}

0.1 = 2.575*\frac{1.12}{\sqrt{n}}

0.1\sqrt{n} = 2.575*1.12

\sqrt{n} = \frac{2.575*1.12}{0.1}

(\sqrt{n})^{2} = (\frac{2.575*1.12}{0.1})^{2}

n = 831.7

Rounding up

At least 832 teenargers must be interviewed.

4 0
2 years ago
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