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Lana71 [14]
1 year ago
5

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

Mathematics
1 answer:
vlada-n [284]1 year 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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3 0
2 years ago
HELP ME
Vladimir79 [104]
Alrighty, so, if I remember correctly: For the first question you have 20 possible outcomes, 4 of which are multiples of 5. (5,10,15,20). This gives you 4/20, I multiplied both the numerator and denominator by 200 which then gave me 800/4000. Next I divided which gave me 0.2.
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Two containers are mathematically similar.Their volumes are 54cm³ and 128cm³.The height of the smaller container is 4.5cm.Calcul
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Answer:

6 cm

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8 0
1 year ago
The price of a train ticket consists of an initial fee plus a constant fee per stop.
murzikaleks [220]

Answer:

Initial Fee is $2.

Step-by-step explanation:

Given:

Stops  Price (dollars)

3         6.50

7         12.50

11         18.50

Also Given:

The price of a train ticket consists of an initial fee plus a constant fee per stop.

So let the Cost of initial fee be 'x'.

Also Let the Cost of Constant fee be 'y'.

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Price (P) = x + (y\times \textrm{Number of Stops})

Now According to table;

Number of stops = 3

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So equation can be framed as;

x+3y =6.50 \ \ \ \ equation \ 1

Also According to table;

Number of stops = 7

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So equation can be framed as;

x+7y =12.50 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation 2 we get;

(x+7y)-(x+3y) =12.50-6.50\\\\x+7y-x-3y=6\\\\4y =6\\\\y= \frac{6}{4}=\$1.5

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x+3\times1.5=6.50\\\\x+4.5=6.50\\\\x =6.50-4.5 = \$2

Hence Initial Fee is $2.

8 0
2 years ago
Read 2 more answers
Jana is prescribed 250 mg of medication. Seventy-five percent of the medication remains in her body after each hour, h, accordin
SOVA2 [1]
Jana was prescribed medication. m = 250(0.75)^h

6 hours after Jana took her medication, Allison was prescribed the same.
m=250(0.75)^(h-6)

<span>At any time after she has taken the medication, Allison has how many times more milligrams of medication in her body?
</span>
Same with Jana, Allison's medication content in her body will decrease by 25% after each hour. 

Let h = 6

Jana: m = 250(0.75)^6 = 250(0.178) = 44.50
Allison: m = 250(0.75)^6-6 = 250(1) = 250

250 - 44.50 = 205.50

On hour 6, Allison will have 205.5 mg more of the medicine than Jana.
7 0
1 year ago
Read 2 more answers
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