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4 years ago

Question:

Mathematics

1 answer:

blagie [28]4 years ago

8 0

Answer:

See the explanation below:

16% of the men (ages 20-29) are taller than 72.22 inches.

Explanation:

The alleged conditions indicated in the comments section are wrong, because for a continuous distribution, like the normal distribution, the probability of an exact value is zero.

A real question, for this same statement is:

Determine the percentage of 20 - 29 year old men taller than 72.22 inches.

The empirical rule states tha, for a normal distribution,

68% of data falls within the one standard deviation from the mean.
95% falls within two standard deviations, and
99.7% falls within three standard deviations.

Thus, for the heights of men (ages 20 - 29) in the United States:

68% of men's heights are within 69.3 inches ± 2.92 inches, this is in the range 66.38 inches to 72.22 inches.
95% of men's heights are within 69.3 inches ± 2×2.92 inches, this is in the range 63.46 inches to 75.14 inches
99.7% of men's heights are within 69.3 inches ± 3×2.92, this is in the range 60.54 inches to 78.06 inches,

You may, then, determine how many men are taller than 72.22 inches.

72.22 inches is one standard deviation above the mean. Since the normal distibution is symmetric around the mean, you reason in this way:

100% - 68% = 32% are either below or above one standard deviation from the mean
half ot that, i.e. 16% are below the mean and half are above the mean
thus, 16% are taller than 72.22 inches.

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Which equation is the inverse of y = x² - 36?

Damm [24]

Answer:
y = SQRT( x + 36 )
y = - SQRT( x + 36 )

Steps:
The 5 options you listed are unclear to me. But I provided the correct answer above.

4 0

2 years ago

Pedro said, "On summer vacation, I spent 3 1/2 weeks with my uncle and two weeks more with my friend than with my uncle." How ma

ladessa [460]

Answer:

Pedro spent 9 weeks with his uncle and his friend.

Step-by-step explanation:

First, you need to find the amount of weeks Pedro spent with his friend. The statement indicates that he spent two weeks more with his friend than with his uncle which means that you have to add the number of weeks he spent with his uncle plus 2, which you can show in a number line:

$3\frac{1}{2}$ 2

___________________

1 2 3 4 5 6 7 8 9 10

$3\frac{1}{2}+2=5\frac{1}{2}$

Now, you can find the and answer by adding up the number of weeks he spent with his uncle plus the weeks he spent with his friend:

$3\frac{1}{2}$ $5\frac{1}{2}$

__________________________________

1 2 3 4 5 6 7 8 9 10

$3\frac{1}{2} + 5\frac{1}{2}=9$

According to this, the answer is that Pedro spent 9 weeks with his uncle and his friend.

6 0

3 years ago

Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (–1, 5).

Anni [7]

Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (–1, 5).

y = 4x – 2 has slope = 4
parallel lines have same slope so slope = 4

passes through the point (–1, 5).
y = mx+b
5 = 4(-1) + b
b =9

equation
y = 4x + 9

answer

The slope of y = 4x – 2 is 4
The slope of a line parallel to y = 4x – 2 is 4
The equation of the line parallel to y = 4x – 2 that passes through the point (–1, 5) is y = 4x + 9

4 0

3 years ago

Read 2 more answers

Whats the input value of f(x)=2x+5

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

f(x)=2x+5

Input: x

Output: f(x)

For i.e:

Input: 1

Output: f(1) = 2(1) + 5 = 2 + 5 = 7

8 0

3 years ago

A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year , how

m_a_m_a [10]

Answer:

t= 12.9 years

Step-by-step explanation:

Value after t years = initial value ( 1 - r )^t

Where,

Value after t years= $5000

Initial value = $22,400

r= depreciation rate = 11%

t= length of time (years)

Value after t years = initial value ( 1 - r )^t

5000 = 22,400 ( 1 - 0.11)^t

5000 = 22,400(0.89)^t

Divide both sides by 22,400

(0.89)^t = 5000 / 22,400

(0.89)^t = 0.2232

Take the log of both sides

t log 0.89 = log 0.2232

t= log 0.2232 / log 0.89

= -0.6513 / -0.0506

= 12.87

t= 12.9 years

5 0

3 years ago