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miskamm [114]
2 years ago
11

The dot plot shows the number of books lent by a school library during a 10-day period.

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
6 0

The mean absolute deviation of the number of books is 1.84

<h3>How to determine the mean absolute deviation?</h3>

The dot plot of the number of books is in the attached figure.

From the figure, we have:

x      f

1       1

2      2

3      2

4      3

5      1

6     2

7     3

8     1

Start by calculating the mean using:

\bar x= \frac{\sum fx}{\sum f}

So, we have:

\bar x= \frac{1 * 1 + 2 * 2 + 2 * 3 + 3 * 4 + 1 * 5 + 2 * 6 + 3 *7 + 1 * 8}{1 +2+2+3+1+2+3+1}

Evaluate the sum and products

\bar x= \frac{69}{15}

Divide

\bar x= 4.6

The mean absolute deviation is then calculated as:

|\bar x| = \frac{\sum f|x - \bar x|}{\sum f}

So, we have:

|\bar x|= \frac{1 * |1 -4.6|+ 2 * |2 -4.6| + 2 * |3 -4.6|+ 3 * |4 -4.6|+ 1 *| 5 -4.6|+ 2 * |6 -4.6|+ 3 *|7 -4.6|+ 1 * |8-4.6|}{1 +2+2+3+1+2+3+1}

Evaluate the absolute difference

|\bar x|= \frac{1 * 3.6+ 2 * 2.6 + 2 * 1.6+ 3 * 0.6+ 1 *0.4+ 2 * 1.4+ 3 *2.4+ 1 * 3.4}{15}

Evaluate the sum of products

|\bar x|= \frac{27.6}{15}

Divide

|\bar x|= 1.84

Hence, the mean absolute deviation of the number of books is 1.84

Read more about mean absolute deviation at:

brainly.com/question/3250070

#SPJ1

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I need help pls is only 1 question
Yanka [14]

Answer:

T = 1300

Step-by-step explanation:

Given

Radius, r = 9\ in

Height, h = 14\ in

<em>See attachment</em>

<em></em>

Required

Determine the total surface area, T

T is calculated using:

T = 2\pi r(r + h)

Substitute values for r and h

T = 2\pi  * 9(9 + 14)

T = 2\pi  * 9(23)

Remove bracket

T = 2\pi  * 9*23

T = 2\pi  * 207

Take \pi = 3.14

So, we have:

T = 2 * 3.14 * 207

T = 1299.96

T = 1300 --- approximated.

<em>Hence, the surface area is 1300 square inch</em>

4 0
3 years ago
What is the length of a diagonal of a rectangular picture whose sides are 12" x 17" round to the nearest 10th of an inch
MAXImum [283]
A^2 + b^2 = c^2
12^2 + 17^2 = 485
so c^2=485
so c=22.0 inches
5 0
2 years ago
Please help on problem 14! Thanks!!
pickupchik [31]
2 hours has more the the other so I would say it would be 8
4 0
3 years ago
Solve the systems by the addition method 2x + y = - 1x - 2y = - 4
inna [77]

Answer:

x = -6/5

y =7/5

Step-by-step explanation:

2x + y = - 1

x - 2y = - 4

Multiply the first equation by 2 so we can eliminate y

2(2x + y = - 1)

4x + 2y = -2

Add this to the second equation

4x + 2y = -2

x - 2y = - 4

---------------------

5x + 0y = -6

Divide by 5

5x/5 = -6/5

x = -6/5

Multiply the second equation by -2 so we can eliminate x

-2(x - 2y = - 4)

-2x+4y = 8

Add this to the first equation

2x + y = - 1

-2x+4y = 8

---------------------

0x + 5y = 7

Divide by 5

5y/5 = 7/5

y =7/5

6 0
3 years ago
What is the completely factored form of f(x) = 6x3 – 13x2 – 4x + 15?
masya89 [10]

We have to determine the complete factored form of the given polynomial

f(x)=6x^3-13x^2-4x+15.

Let x= -1 in the given polynomial.

So, f(-1)= 6(-1)^3-13(-1)^2-4(-1)+15 = -6-13+4+15 = 0

So, by factor theorem

(x+1) is a factor of the given polynomial.

So, dividing the given polynomial by (x+1), we get quotient as 6x^2-19x+15.

So, 6x^3-13x^2-4x+15 = (x+1)6x^2-19x+15.

= (x+1)(6x^2-10x-9x+15)

=(x+1)[ 2x(3x-5)-3(3x-5)]

= (x+1)(2x-3)(3x-5) is the completely factored form of the given polynomial.

Option D is the correct answer.

5 0
3 years ago
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