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loris [4]
2 years ago
5

According to a survey by the National Center for Health Statistics, the heights of adult men in the U.S. are normally distribute

d with a mean of 68 inches and a standard deviation of 2.75 inches. What is the probability that adult men are at most 59 inches or at least 74 inches
Mathematics
1 answer:
fiasKO [112]2 years ago
8 0

Answer:

0.0151 is the probability  that adult men are at most 59 inches or at least 74 inches.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 68 inches

Standard Deviation, σ = 2.75 inches

We are given that the distribution of heights of adult men is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(height between 59 and 74)

P(59 \leq x \leq 74) = P(\displaystyle\frac{59 - 68}{2.75} \leq z \leq \displaystyle\frac{74-68}{2.75}) = P(-3.2727 \leq z \leq 2.1818)\\\\= P(z \leq 2.1818) - P(z < -3.2727)\\= 0.9854 - 0.0005=98.49\%

P(x\leq59 \cup x\geq 74)=1 - P(59\leq x \leq 74) \\=1 - 0.9849\\=0.0151\\=1.51\%

0.0151 is the probability  that adult men are at most 59 inches or at least 74 inches.

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25 hours on his week job and 15 hours on his weekend job

Steps

20 times 25 is 500 for pay

18 times 15 is 270  for pay

Just add them

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3 years ago
Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, d
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Answer:

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Step-by-step explanation:

given data

coin = 19

worth no less = $1.30

Nolan nickles = 5

solution

we convert 5 cent to dollars, it will be

5÷100 = $0.05

and

dime is worth 10 cents

so it will be 10 ÷ 100 = $0.1

so we consider here x as the number when nickels.

and we consider y as the number of dimes.

so here we can say

x + y ≤ 19      ..........................1

as here no less than $1.30 combined.

so

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and

when Nolan has 5 nickels

put x = 5 in eq 1

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y ≤ 19 - 5

y ≤ 14

and

now we put x = 5 in eq 2

0.05 × 5 + 0.1y ≥ 1.3

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3 years ago
A cylinder has height of 7 inches and a base with a diameter of 9 inches.
bekas [8.4K]

Answer:

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Step-by-step explanation:

The volume of a cylinder is represented by the formula V = \pi r^{2} h, where r represents the radius of the base and h represents the height.

In this question, the diameter is given as 9 inches. Since the radius is half the diameter, the radius will be 4.5 inches.

Substituting in the values and solving, we get:

V =9 \pi (4.5)^{2}\\V = 9\pi(20.25)\\V = 182.25\pi\\V = 572.6

The Volume will be 527.6 cubic inches

6 0
3 years ago
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