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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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The jazz band has 13 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the n
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Answer:

13 * r

Step-by-step explanation:

If each member sells the same number of raffle tickets, then 13r would show that each of the 13 members will have sold <em>r</em> raffle tickets each. The expression is multiplication.

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A bottle contains 3.5 liters of water. A second bottle contains 3,750 milliliter soft water. How many more millimeters are in th
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250 ml more

3,750-3500=250
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Brandon’s family is planning a trip from Dallas to San Antonio. Dallas is about 272 miles from San Antonio. If Brandon’s dad dri
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Since he drives 60 miles per hour we'll divide 272 by 60

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I hope I've helped!
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3 years ago
NEED HELP PLEASE WHAT IS THE NUMBER IN THE QUESTION MARK
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2 years ago
Maths functions question
yarga [219]

Answer:

a)  OA = 1 unit

b)  OB = 3 units

c)  AB = √10 units

Step-by-step explanation:

<u>Given function</u>:

g(x)=2^x

<h3><u>Part (a)</u></h3>

Point A is the y-intercept of the exponential curve (so when x = 0).

To find the y-value of Point A, substitute x = 0 into the function:

\implies g(0)=2^0=1

Therefore, A (0, 1) so OA = 1 unit.

<h3><u>Part (b)</u></h3>

If BC = 8 units then the y-value of Point C is 8.

The find the x-value of Point C, set the function to 8 and solve for x:

\begin{aligned}f(x) & = 8 \\\implies 2^x & = 8\\2^x & = 2^3\\\implies x &= 3\end{aligned}

Therefore, C (3, 8) so Point B is (3, 0).  Therefore, OB = 3 units.

<h3><u>Part (c)</u></h3>

From parts (a) and (b):

  • A = (0, 1)
  • B = (3, 0)

To find the length of AB, use the distance between two points formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points.}

Therefore:

\implies \sf AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}

\implies \sf AB=\sqrt{(3-0)^2+(0-1)^2}

\implies \sf AB=\sqrt{(3)^2+(-1)^2}

\implies \sf AB=\sqrt{9+1}

\implies \sf AB=\sqrt{10}\:\:units

5 0
2 years ago
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