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Blababa [14]
3 years ago
5

Use the formula to evaluate the series 3-9+27-81+...-ae

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

( -4920)

Step-by-step explanation:

we see that the first term is 3 and the common ratio between the succeeding terms is -3. so to  solve for the sum of the first 8 terms

 Sum = (a1)(1 – r^n) / (1 – r)

and substituting the known terms,we got  

  Sum = (3)(1 – (-3)^8)/(1 - (-3)) = -4920

Then the answer   = ( -4920)

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Step-by-step explanation:

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24 is 40%of what number
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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’
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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.

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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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Answer:

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