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Lana71 [14]
2 years ago
5

The data below show the numbers of hours Mrs. Diaz volunteered at the library each month

Mathematics
1 answer:
vlada-n [284]2 years ago
3 0

Answer:

A. 4.5

Step-by-step explanation:

Given:

20, 12, 27, 23, 18, 20, 30, 26

Mean = 22

Required:

Calculate the Mean Absolute Deviation (M.A.D)

Since, we have the mean; we start calculating M.A.D by subtracting the mean from each data

20 - 22 = -2

12 - 22 = -10

27 - 22 = 5

23 - 22 = 1

18 - 22 = -4

20 -22 = -2

30 - 22 = 8

26 - 22 = 4

The we find absolute value of the result above

|-2| = 2

|-10| = 10

|5| = 5

|1| = 1

|-4| = 4

|-2| = 2

|8| = 8

|4| = 4

Lastly, we calculate the mean of the above to give M.A.D

M.A.D = \frac{2 + 10 + 5 + 1 + 4 + 2 + 8 + 4}{8}

M.A.D = \frac{36}{8}

M.A.D = 4.5

Option A is correct.

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C. 42.39 times 0.1 is 4.239. 42.39-4.239= 38.151 which rounds to 38.15
6 0
3 years ago
Use completing the square to find the value to add that makes x^2 - 12x a perfect square trinomial. Then write the expression as
yarga [219]

Answer:

Step-by-step explanation:

If you want to make

x^2-12x

into a perfect square binomial, take half the linear term, square it, then add it to both sides.  Our linear term is 12.  Half of 12 is 6, and 6 squared is 36.

The value that makes this a perfect square binomial is 36.

Writing the expression as a square of the binomial is:

(x^2-12x+36)-->(x-6)^2

4 0
3 years ago
Simplify <br> 2(x+7) 2x + 20<br> - 2 =<br> x+4<br> 2x + 8
9966 [12]

Answer:

x = -20

Step-by-step explanation:

2(x+7) 2x + 20  - 2 =  x+4  2x + 8

2x+14 + 2x + 20 - 2 = x + 4 + 2x + 8

4x +32 = 3x + 12

x = -20

3 0
2 years ago
Solve 36x^2+23=60x using quadratic formula<br>​
mars1129 [50]

Answer:

x₁ = 0.6

x₂ = 1.07

Step-by-step explanation:

36x² + 23 = 60x

36x² - 60x + 23 = 0

x = {-(-60)±√((-60²)-(4*36*23))} / (2*36)

x = {60±√(3600-3312)} / 72

x = {60±√288) / 72

x = {60±16.97) / 72

x₁ = {60-16.97} / 72 = 43.03/72 = 0.6   aprox.

x₂ = {60+16.97} / 72 = 76.97/72 = 1.07    aprox.

verify:

x₁

36*0.6² + 23 = 60*0.6

36*0.36 + 23 = 36

13 + 23 = 36

x₂

36*1.07² + 23 = 60*1.07

36*1.145 + 23 = 64.2

41.2 + 23 = 64.2

7 0
3 years ago
Evaluate if 8y + 4x – (2x + 3) if x = – 2 and y = 6
marishachu [46]

Answer:

41

Step-by-step explanation:

substitute x=-2 and y=6, we know

8×6 +4×(-2) -(2×(-2) +3) = 48-8-(-1) =41

6 0
3 years ago
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