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stepladder [879]
3 years ago
12

What is the mean absolute deviation of the data set? 8, 5, 12, 4, 5, 8, 7

Mathematics
1 answer:
Kobotan [32]3 years ago
7 0

Answer:

The MAD is: 2

Step-by-step explanation:

First, you add all the terms together. So we get 49.

Then, we divide 49 by the amount of terms. There are 7 terms, so we do 49/7.

We get 7. Now we have to find out the distance between each point and the mean, which is seven.

  • 8-7= 1
  • 7-5= 2
  • 12-7=5
  • 7-4=3
  • 7-5=2
  • 8-7=1
  • 7-7=0

Now, we add all the distances together. We get 14.

Now, we divide 14 by the amount of terms, which is 7. 14/7 is 2.

The answer is b.

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An average Smart TV costs $500. On Black Friday, the Smart TV goes on sale for $350. By what percent did the
Alchen [17]

Answer:

30%

Step-by-step explanation:

$500-$350=150

150/500 x 100

=30%

6 0
3 years ago
Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicul
vlada-n [284]

Answer:

The lines L1 and L2 neither parallel nor perpendicular

Step-by-step explanation:

* Lets revise how to find a slope of a line

- If a line passes through points (x1 , y1) and (x2 , y2), then the slope

 of the line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- Parallel lines have same slopes

- Perpendicular lines have additive, multiplicative slopes

 ( the product of their slopes is -1)

* Lets solve the problem

∵ L1 passes through the point (1 , 10) and (-1 , 7)

- Let (1 , 10) is (x1 , y1) and (-1 , 7) is (x2 , y2)

∴ x1 = 1 , x2 = -1 and y1 = 10 , y2 = 7

∴ The slope of L1 is m1 = \frac{7-10}{-1-1}=\frac{-3}{-2}=\frac{3}{2}

∵ L2 passes through the point (0 , 3) and (1 , 5)

- Let (0 , 3) is (x1 , y1) and (1 , 5) is (x2 , y2)

∴ x1 = 0 , x2 = 1 and y1 = 3 , y2 = 5

∴ The slope of L2 is m2=\frac{5-3}{1-0}=\frac{2}{1}=2

∵ m1 = 3/2 and m2 = 2

- The two lines have different slopes and their product not equal -1

∴ The lines L1 and L2 neither parallel nor perpendicular

7 0
3 years ago
if I have to add 97 oz of algaecide to 10,000 gallons of water how much should I add if I only have 200 gallons of water​
juin [17]

Answer:

1.94 oz

Step-by-step explanation:

x/97 = 200/10000

97*200 = 10,000x

19400 = 10,000x

1.94 oz

You can also do it this way:

200/10000 = 0.02

0.02 * 97 = 1.94

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0
3 years ago
At Hong's auto shop, it takes him 12 minutes to do an oil change and 18 minutes to do a tire change. Let x be the number of oil
-Dominant- [34]

Answer: 12x+18y ≤ 60

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

The product of the time that takes to do an oil change (12) and the number of oil changes(x); plus The product of the time that takes to do a tire change (18) and the number of tire changes; must be less or equal to  60 minutes (time available).

12x+18y ≤ 60

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
(2, - 1); 4x + 3y = 5
Mariana [72]
(2,-1)
(x-y)
4(2) + 3(-1) = 5
4×2=8
3×-1= -3
8+(-3)=5

i hope that helps i dont know how to explain it any better
4 0
3 years ago
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