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borishaifa [10]
4 years ago
15

PLZ HELP !!!! Only do B) and C)

Mathematics
1 answer:
labwork [276]4 years ago
4 0

First frame is for b and second frame is for c

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Adimas found the mean of her 11 math test scores for the first semester. X = StartFraction (76 87 65 88 67 84 77 82 91 85 90) Ov
Reika [66]

To find the solution we will first find the difference between each number and mean, and then substitute the value in the formula of standard deviation.

The standard deviation is 8.4477 and the variance is 71.40.

Given to us

  • Test scores of Adimas = (76, 87, 65, 88, 67, 84, 77, 82, 91, 85, 90)
  • Mean = 81

<h3>Standard Deviation</h3>

difference between each number and mean,

x_1 -\mu= 76-81 = -5\\&#10;x_2-\mu = 87-81 = 6\\&#10;x_3-\mu = 65-81 = -16\\&#10;x_4-\mu = 88 -81 = 7\\&#10;x_5-\mu = 67-81 = -14\\&#10;x_6 -\mu= 84-81 = 3\\&#10;x_7 -\mu= 77-81 = -4\\&#10;x_8 -\mu= 81-81 = 1\\&#10;x_9 -\mu= 91-81 = 10\\&#10;x_{10}-\mu=85-81 = 4\\&#10;x_{11} -\mu= 90-81 = 9

\sum(x-\mu)^2 = x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2+x_9^2+x_{10}^2+x_{11}^2

                 =  25 + 36 + 256 + 49 + 196 + 9 + 16 + 1 + 100 +16 + 81

                 = 785

\rm{ Standard\ Deviation = \sqrt{\dfrac{\sum{(X-\mu)^2}} {n}

                             \sigma= \sqrt{\dfrac{785}{11}}\\\\&#10;\sigma = 8.4477

<h3>Variance</h3>

Variance = \sigma ^2

              = 71.40

Hence, the standard deviation is 8.4477 and the variance is 71.40.

Learn more about Standard Deviation:

brainly.com/question/12402189

3 0
3 years ago
At a college, 7 out of 10 students work either a full-time or a part-time job in addition to their studies. If 4900 students wer
Rina8888 [55]

Answer:

1470 students do not have a full-time or part-time job

Step-by-step explanation:

We have a relationship between students who have a part-time job and those who do not. The ratio is 7 out of 10 students.

Then we use this relationship as a conversion factor.

If of 10 students, 7 of them have a job, then of 4900 students, how many of them have a job?

4900 * \frac{7}{10}=3430 students

Finally, those who do not have a job are:

4900- 3430 = 1470

3 0
3 years ago
Write an ordered pair to represent the reflection of the point (4,-1) in the x axis
defon

Answer:

(4,1)

Step-by-step explanation:

The rule for reflecting over the X axis is to switch the value of the y-coordinate of each point, but leave the x-value the same

8 0
3 years ago
Read 2 more answers
Drag numbers to fill in the table to organize the information in this problem.
pashok25 [27]

Answer:

3.9 milligrams more than the normal or whatever it said

Step-by-step explanation:

you multiply 3.6 by 2 and you get 7.2 then you add 11.8 to that 7.2 which give you 19, then subtract 15.1 from 19 which would give you 3.9 milligrams

5 0
3 years ago
13 The Lozano's chartered a boat over the holiday
pashok25 [27]

Answer:

$460.25

Step-by-step explanation:

350 + .065(350) + .25(350)

= 350 + 22.75 + 87.5

$460.25

8 0
3 years ago
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