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Maslowich
3 years ago
5

Martin earned the following scores on his last five tests. 98, 78, 84, 75, 91 What is the mean absolute deviation of his scores?

Mathematics
2 answers:
rewona [7]3 years ago
6 0
84 would be the answer.
lora16 [44]3 years ago
3 0

Answer:

<h2>7.44√</h2>

Step-by-step explanation:

find the average of his scores:

98 +78+84 +75 +91 = 426/5 = 85.2

now find the difference between the average and each test score:

98 - 85.2 = 12.8

85.2 -78 = 7.2

85.2 - 84 = 1.2

85.2 -75 = 10.2

91-85.2 = 5.8

 total those and divide by the number of tests

12.8 + 7.2 + 1.2 +10.2 +5.8 =37.2/5 = 7.44

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Pls help fast 98 points again point spree)) What is the mean absolute deviation for 9, 7, 6, 8, 7, and 5?
dezoksy [38]

Answer:

6

Step-by-step explanation:

6 0
3 years ago
On any given day, the probability that a large local river is polluted by carbon tetrachloride is 0.12. Each day, a test is cond
babymother [125]

Answer:

a) 0.2416

b) 0.4172

c) 0.0253

Step-by-step explanation:

Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .

denoting event a A=the test proves correct and B=the river is polluted

a) the test indicates pollution when

- the river is polluted and the test is correct

- the river is not polluted and the test fails

then

P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416

b) according to Bayes

P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)

then

P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172

c) since

P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+  0.16*0.12 = 0.7584

the rate of false positives is

P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253

4 0
3 years ago
A taxi driver had 27 fares to and from the airport last Monday. The price for a ride to the airport is $14, and the price for a
OLga [1]

Answer:

(15, 12)

Step-by-step explanation:

Let's generate two systems of equations that fit this scenario.

Number of trips to the airport = x

Number of trips from the airport = y

Total number of trips to and from the airport = 27

Thus:

x + y = 27 => equation 1.

Total price for trips to the Airport = 14*x = 14x

Total price of trips from the airport = 7*y = 7y

Total collected for the day = $294

Thus:

14x + 7y = 294 => equation 2.

Multiply equation 1 by 7, and multiply equation 2 by 1 to make both equations equivalent.

7 × x + y = 27

1 × 14x + 7y = 294

Thus:

7x + 7y = 189 => equation 3

14x + 7y = 294 => equation 4

Subtract equation 4 from equation 3

-7x = -105

Divide both sides by -7

x = 15

Substitute x = 15 in equation 1

x + y = 27

15 + y = 27

Subtract both sides by 15

y = 27 - 15

y = 12

The ordered pair would be (15, 12)

7 0
3 years ago
4. There are seven days in a week. How many days are there in 16 weeks?
lesya692 [45]

Answer:

There are 112 days in 16 weeks

8 0
3 years ago
Work out the difference between 38.3 and 1.72​
Bumek [7]

Answer:

36.58

Step-by-step explanation:

38.3-1.72=36.58

7 0
2 years ago
Read 2 more answers
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