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tino4ka555 [31]
3 years ago
6

eric is ten years older than sal & mick is twice sals age their combined age equals 110 how old is sal

Mathematics
1 answer:
Olenka [21]3 years ago
7 0
2x + x  + 10 + x = 110
4x + 10 = 110 (Subtract ten from both sides)
4x = 100 (divide both sides by four)
x = 25

Plug in values to check...

2(25) + 25 + 25 + 10 = 110
50 + 50 + 10 = 110
110 = 110

Mick is 50 years of age.
Sal is 25 years of age.
Eric is 35 years of age.
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X^2+y^2=169, 3x+2y=39 please answer using substitution and each step
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Answer:

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Step-by-step explanation:

We are given a system of equations

{x}^{2}  +  {y}^{2}  = 169 -  - eqn \: 1 \\ 3x + 2y = 39 -  - eqn \: 2

For equation 1,square all terms to reduce it

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2 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.

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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.

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Upper limit = 2(3) = 6

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

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

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