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8090 [49]
3 years ago
8

The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard

deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.
Mathematics
1 answer:
laiz [17]3 years ago
4 0

Answer:

option B.

About 16% of the books have fewer than 150 pages

Step-by-step explanation:

Since we are dealing with a normal distribution

68.27% of the values will fall in the range with the standard deviation

(180-30 , 180+30) = (150, 210)

Approximately 15.86% of the values will be higher than 210

and the rest 15.86% will be lower than 150

So the correct answer is option B.

About 16% of the books have fewer than 150 pages

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Jenna's 4Runner is expected to get 22 miles/gallon on the highway, or she can
d1i1m1o1n [39]

Answer: A.4Runner cost more for $11.02

              B.Cost of fuel for Elentra: 3.75*3.59=$13.46

                 Cost of fuel for 4Runner : 6.818*3.59=$24.48

Step-by-step explanation:

A.Find how many gallons 4Runner spends on 150 mile trip.

use proportion

22:1=150:x

22x=150

x=150/22

x=6.818 gallons  

Cost of fuel for 4Runner : 6.818*3.59=$24.48

Calculation for Elentra:

40:1=150:x

40x=150

x=150/40

x=3.75 gallons

Cost of fuel for Elentra: 3.75*3.59=$13.46

Cost of fule for 4Runner-Cost of fuel for Elentra=24.48-13.46=$11.02

4Runner cost more for $11.02

B.Cost of fuel for Elentra: 3.75*3.59=$13.46

Cost of fuel for 4Runner : 6.818*3.59=$24.48

5 0
3 years ago
Which of the following is equal to the rational expression.......
Alecsey [184]
Maybe it would be B
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8 0
3 years ago
Read 2 more answers
The square root of a number consisting of two digits isequal
Gala2k [10]

Answer:

81

Step-by-step explanation:

Let the digits that make up the number be a and b.

Given that the square root of the number is equal to the sum of the digits.

Then,

√(10a + b) = a + b

Also given that the square root of the number is less than the number obtained by  interchanging the digits by 9, then

√(10a +b) + 9  = 10b + a

Since √(10a + b) = a + b, then

a + b + 9 = 10b + a

a - a + 9 = 10b - b

9b = 9

b = 1

since √(10a + b) = a + b

√(10a + 1) = a + 1

10a + 1= (a + 1)²

10a + 1 = a² + 2a + 1

a²  + 2a - 10a + 1 - 1 = 0

a² - 8a = 0

a(a - 8) = 0

a = 0 or a = 8

Using a = 8 and b = 1,

the number 10a + b = 10(8) + 1 = 81.

3 0
3 years ago
On a coordinate plane, a parabola opens down with solid circles along the parabola at (negative 3, negative 5), (negative 2, 0),
Svetradugi [14.3K]

The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).

<h3>What is a function?</h3>

A function is defined as a relation between the set of inputs having exactly one output each.

On a coordinate plane, a parabola opens down with solid circles along the parabola at (-3, -5), (-2, 0), (-1, 3), (0, 4), (1, 3), (2, 0), (3, -5).

The domain is all real numbers.

The range is all real numbers.

If for an interval I, when x decreases meanwhile staying in interval I, the function's output increases (or can stay same), then we say that the function is increasing in the interval.

The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).

Learn more about increasing and decreasing functions here:

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5 0
2 years ago
Is the answer: -5, -2, 3, 5?
lara31 [8.8K]

Answer:

Y= -1 and Y = -5

Step-by-step explanation:

To find the Value of Y need to find where the Line(s) Cross they Vertical Axis.

5 0
3 years ago
Read 2 more answers
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