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SVETLANKA909090 [29]
3 years ago
6

What is the Mean Absolute Deviation or MAD for each city?

Mathematics
1 answer:
ira [324]3 years ago
3 0

Answer:

A: ⅚

B: ⅚

Step-by-step explanation:

City A: 4, 3.5, 5, 5.5, 4, 2

Mean: sum/n

= 24/6 = 4

|x - mean|: 0, 0.5, 1, 1.5, 0 , 2

MAD = sum|x - mean|/n

5/6 = 0.833

City B: 5, 6, 3.5, 5.5, 4, 6

Mean: 30/6 = 5

|x - mean|: 0, 1, 1.5, 0.5, 1, 1

MAD = sum|x - mean|/n

5/6 = 0.833

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Solve -5(-5m + 5) = -2m – 4
skad [1K]

Answer:

m=7/9

Step-by-step explanation:

-5(-5m+5)=-2m-4

25m-25=-2m-4      

25m+2m=-4+25

27m=21

÷ 27  ÷ 27     (divide both sides)

m=7/9 or .777 (infinite)

7 0
3 years ago
The measure of an angle is nine times the measure of its complement. find the measure of each angle.
andrew11 [14]
Two angles are complementary when they add up to 90 degrees<span> 

</span><span>smaller angle = x
</span><span>larger angle = 9x
</span>
x + 9x = 90
10x = 90
x = 90/10
x = 9°  ← smaller angle

larger angle = 9x = 9 * 9 = 81°

5 0
3 years ago
The perimeter of a triangle with two equal sides is 50 cm. If its base were lengthened by 3 cm and each leg were shortened by 4
Nataly [62]

Answer:

Base of the original triangle is 12 cm.

Step-by-step explanation:

Let base of triangle be x  

two equal legs  of triangles by y

therefore perimeter of triangle

                       x+y+y = 50 or x+2y =50

according to the question

 if base is x+3 and leg is y-4

then both are equal

   that is x+3 = y-4

            y-x = 7 or y =x+7

   x+2y =50

   x+2(x+7) = 50

    x+2x +14 =50

     3x +14 =50

     3x = 50 -14

      3x = 36

      x = 12

therefore base of the original  triangle is 12 cm                    

6 0
3 years ago
Please help! I will mark you as brainliest!
lisov135 [29]

Answer:

7/9

Step-by-step explanation:

Think of 1 as being 9/9. The difference between 9/9 and 2/9 is 7/9, which is the answer

8 0
3 years ago
Read 2 more answers
Solve the polynomial inequality x^2-3x-10&gt;0
djverab [1.8K]

As x² - 3x - 10 factors, we can use the zero product property and pull it apart into factors. It factors because 2 and 5 have a difference of 3 and product of 10

x² - 3x - 10 > 0

(x - 5)(x + 2) > 0

To find where the inequality is true, we use a sign test. When x-5 > 0, it means x >5, and 5 is one of our sign test values. Similarly, -2 is the other. We can then make three intervals - A (less than -2), B (between -2 and 5), and C (more than 5).

<--------------- -2 ------------------ 5 -------------------------->

A B C

To do a sign test, we choose values to see what happens. First, test x = -5.

(-5 - 5)(-5 + 2) = (-10)(-3) = 30. Because 30 > 0, the inequality is true for x < -2. So interval A is true.

Next, test x = 0.

(0 - 5) (0 + 2) = (-5)(2) = -10. Because -10 < 0 is false, the inequality is false for x > -2 and x < 5. So interval B is false.

Last, test x = 10

(10 - 5) (10 + 2) = (5) (8) = 40. Because 40 > 0 is true, the inequality is true for x > 5. So interval C is true.

We put the true intervals together.

(-∞, -2) ∪ (5, ∞) is where this inequality is true,

{x : x < -2 or x > 5} is also how it's said in set notation.

7 0
3 years ago
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