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snow_lady [41]
3 years ago
8

a generator needs a fixed amount of fuel to keep it running two hours a day. After running for 6 days, the generators fuel tank

was 2/3 full. After 11 more days, 3 1/2 liters of fuel was left in the tank. If the tank was originally full, how much fuel can the tank hold?
Mathematics
1 answer:
statuscvo [17]3 years ago
5 0
<h3>Answer:</h3>

63 liters

<h3>Explanation:</h3>

The amount of fuel used per day is ...

... (1 tank - 2/3 tank)/(6 days) = (1/3 tank)/(6 days) = (1/18) tank/day

Then the amount of fuel used after 6+11 = 17 days is

... (17 days)×(1/18 tank/day) = 17/18 tank

and the amount remaining is ...

... (1 tank -17/18 tank) = 1/18 tank = 3 1/2 liters

To find the tank size, we can multiply this result by 18:

... 1 tank = 18×(3 1/2 liters) = 63 liters

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Use distributive property to solve the equation 5( 2x +4) =30<br> A. x-2<br> B. x=1<br> c. =10
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4 years ago
Suppose the mean height for adult males in the U.S. is about 70 inches and the standard deviation is about 3 inches. Assume men’
nlexa [21]

Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

c. They should be at or below the 95th percentile, which is 74.92 inches.

d. None of the above.

Answer: a. They should be between 64 and 76 inches tall.

Step-by-step explanation:

Given the following :

Assume men's height follow a normal curve ; and :

Mean height = 70 inches

Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

95% will fall between + or - 2 standard deviation of the mean.

Lower limit = - 2(3) = - 6

Upper limit = 2(3) = 6

(-6+mean) and (+6+ mean)

(-6 + 70) and (6+70)

64 and 76

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3 years ago
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