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son4ous [18]
3 years ago
8

The heights of adult men in america are normally distributed, with a mean of 69.1 inches and standard deviation of 2.65 inches.

what percentage of adult males in america are under 5 feet 7 inches tall? round your answer as a percentage to the nearest whole number.
Mathematics
2 answers:
saul85 [17]3 years ago
8 0

Answer:

Answer is 21%

Step-by-step explanation:

Let X be the heights of adult men in America

X is Normal with mean =69.1 and std dev = 2.65 inches

Percentage of adult males who are under 5 ft 7inches

= height less than 67 inches (since 1 ft = 12 inches)

P(X<67)

=P(Z<\frac{67-69.1}{2.65} =-0.79

=P(Z<-0.79)

=0.5-0.2852

=0.2148

=21.48%

Hence 21% nearly of males in America are shorter than 5'7"

Nesterboy [21]3 years ago
5 0
The solution for this problem is:It's given that the heights are normally distributed. 
5 feet 7 inches = (5*12 +7) inches = (60+7) inches = 67 inches. 
The z-score is (67 - 69.1)/(2.65) = -1.136. The probability is 0.127978 or 12.8%, making probability of a height over 67 inches
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luke has $1.40 in quarters and nickels. he has 2 more quarters than nickels. how many coins of each type does he have?
Ainat [17]

Answer:

3 nickels and 5 quarters

Step-by-step explanation:

Let n = number of nickels

q = number of quarters

q = n+2

.25q + .05n = 1.40

Using the first equation and replacing q in the second equation

.25( n+2) + .05n = 1.40

Distribute

.25n+.50 +.05n = 1.40

Combine like terms

.30n +.5 = 1.40

Subtract .5 from each side

.3n +.5-.5 = 1.40-.4

.3n = .9

Divide by .3

.3n/.3 = .9/.3

n = 3

q = n+2

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8 0
3 years ago
Read 2 more answers
Please help me with this.
tatyana61 [14]

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

  1. r (- 3) = 15
  2. r (- 1) = 11
  3. r (1) = - 7
  4. r (5) = 13

<h3>How to evaluate a piecewise function at given values</h3>

In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:

<h3>r(- 3): </h3>

-3 ∈ (- ∞, -1]

r(- 3) = - 2 · (- 3) + 9

r (- 3) = 15

<h3>r(- 1):</h3>

-1 ∈ (- ∞, -1]

r(- 1) = - 2 · (- 1) + 9

r (- 1) = 11

<h3>r(1):</h3>

1 ∈ (-1, 5)

r(1) = 2 · 1² - 4 · 1 - 5

r (1) = - 7

<h3>r(5):</h3>

5 ∈ [5, + ∞)

r(5) = 4 · 5 - 7

r (5) = 13

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

  1. r (- 3) = 15
  2. r (- 1) = 11
  3. r (1) = - 7
  4. r (5) = 13

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

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