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Dvinal [7]
2 years ago
5

1. Charles and Cole measured the height of each of their dogs. The heights (at the

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
7 0

Answer:

C. 3.2

Step-by-step explanation:

Heights of dogs: 10, 22, 15, 12, 16

✔️Find the mean of the data set = \frac{10 + 22 + 15 + 12 + 16}{5} = \frac{75}{5} = 15

✔️Find |data value - mean|:

|10 - 15| = 5

|22 - 15| = 7

|15 - 15| = 0

|12 - 15| = 3

|16 - 15| = 1

✔️Find the sum of |data value - mean| and divide by 10:

\frac{5 + 7 + 0 + 3 + 1}{5} = \frac{16}{5} = 3.2

✅M.A.D = 3.2

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Dilate line f by a scale factor of 2 with the center of dilation at the origin to create line f. Where are points A' and B' loca
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Answer:

Option A

Step-by-step explanation:

We are given that

Scale factor=2

Center of dilation=(0,0)

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Slope of line f=\frac{y_2-y_1}{x_2-x_1}

Substitute the values

Slope of line f=\frac{0-2}{2-0}=-1

Distance between  A and Origin (0,0) is given by

OA=\sqrt{(0-0)^2+(0-2)^2}=2 units

Using distance formula

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

OB=\sqrt{(0-2)^2+(0-0)^2}=2 units

Length of OA'=2OA=2(2)=4 units

Length of OB'=2(OB)=2(2)=4 units

x-intercept of line f' at x=4

y-intercept of line f' at y=4

Therefore, the points A' and B' are given by

(0,4) and (4,0)

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Slope of line f and f' are equal.Therefore, lines f and f' are parallel.

Option A is true.

4 0
3 years ago
Select all polynomials that have (x-3) as a factor.
Alchen [17]

Answer:

Below.

Step-by-step explanation:

Substitute x = 3 into each polynomial and see if the value of the polynomial is zero. If it is zero then x-3 is a factor.

Try number 1:

a(x) = x^3 - 2x^2 - 4x + 3

a(3) = 3^3 - 2(3)^2 - 4(3) + 3

= 27 - 2(9) - 12 + 3

= 27 - 18 - 12 + 3

= 9 - 18 - 9

= 27 - 27

= 0

So a(x) has (x-3) is a factor of a(x)

The other 3 polynomials are solved in the same way.

8 0
2 years ago
2540mm converted into cm
Oduvanchick [21]

Answer:

Step-by-step explanation:

254cm

4 0
2 years ago
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Tony wants to buy 2.3 pounds of dried berries and 2.6 pounds of trail mix. How much will he spend?
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How much dose it cost per pound?
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2 years ago
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 140 lb and each bo
Stells [14]

Answer:

21 boxes of books

Step-by-step explanation:

guy= 140 lbs

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i took 1010- 140 and got 870lbs left for the books

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