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PSYCHO15rus [73]
3 years ago
13

Customers are considered very satisfied with the XYZ Box video game system if the mean of the population of all satisfaction rat

ings is higher than 50. Assume that the standard deviation of the population of all satisfaction ratings is 4.64.
a. If the population mean of all satisfaction ratings is 50, what is the probability of observing a random sample of 80 satisfaction ratings with a mean greater than or equal to 51.45?

b. We have actually observed a random sample of 80 satisfaction ratings with a mean of 51.45. What do you conclude about whether customers are very satisfied with the XYZ Box video game system?
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0
It is C not( A,B.D ok be home by
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Please explain how to do this, I'm using all my points<br><br>A. 40 L<br>B. 80 L<br>C. 4 L <br>D. 8L
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Answer: choice A. 40 liters

====================================

Explanation:

x = number of liters of the 50% alcohol solution

If we have x liters of 50% alcohol, then we have 0.50*x liters of pure alcohol. This is added to 0.90*40 = 36 liters of pure alcohol (from the 90% solution).

So far we have 0.50*x + 36. This expression represents the total amount of pure alcohol. We want a 70% solution, so we want 70% of the total 40+x meaning 0.50*x + 36 is to be set equal to 0.70*(40+x) and we solve for x as shown below

0.50*x + 36 = 0.70*(40+x)

0.50*x + 36 = 0.70*(40)+0.70*(x)

0.50*x + 36 = 28+0.70*x

36 - 28 = 0.70*x - 0.50x

8 = 0.20x

0.20x = 8

x = 8/0.20

x = 40

So that is why the answer is choice A. 40 liters

6 0
3 years ago
Jacob has 6.15 meters of rope. He is going to use 1.2 meters of rope to tie up his boat. How many centimeters of rope does he ha
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495 cm

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Remark

When you do the subtraction, whatever is left (the decimal part) is the length in cm when multiplied by 100.

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Remaining rope = starting length - what was used.

Remaining rope = 6.15 - 1.2

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Which of the four triangles below are similar?
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Cause they all have the same angle points
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