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masha68 [24]
3 years ago
7

13, 5, 4, 9, 7, 14, 4 The deviations are _____.

Mathematics
1 answer:
fenix001 [56]3 years ago
7 0

Answer:

B."5, -3, -4, 1, -1, 6, -4"

Step-by-step explanation:

We are given that

13,5,4,9,7,14,4

We have to find the deviation.

Mean=\frac{sum\;of\;data}{total\;number\;of\;data}

Using the formula

Mean,\mu=\frac{13+5+4+9+7+14+4}{7}

Mean,\mu=\frac{56}{7}=8

Deviation=x_i-\mu

         x_i-\mu

13          5

5           -3

4           - 4

9            1

7             -1

14            6

4            - 4

Hence, option  B is correct.

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The perimeter of a rectangle is 24 m. The length is 30 m less than five times the width. Find the dimensions of the rectangle. L
Len [333]

Answer:

<h2>width = 7 m</h2><h2>length = 5 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 24m

The statement

The length is 30 m less than five times the width is written as

l = 5w - 30

Substitute the expression into the above formula and solve for the width

That's

24 = 2( 5w - 30) + 2w

24 = 10w - 60 + 2w

84 = 12w

Divide both sides by 12

w = 7

Substitute this value into l = 5w - 30

That's

l = 5(7) - 30

l = 35 - 30

l = 5

Therefore the dimensions are

width = 7 m

length = 5 m

Hope this helps you

6 0
4 years ago
Which of the following statements are not true in developing a confidence interval for the population mean?
frutty [35]

Answer:

b) The width of the confidence interval becomes narrower when the sample mean increases.

Step-by-step explanation:

The confidence interval can be calculated as:

\bar{x} \pm \text{Test Statistic}\displaystyle\frac{\sigma}{\sqrt{n}}

a) The width of the confidence interval becomes wider as the confidence level increases.

The above statement is true as the confidence level increases the width increases as the absolute value of test statistic increases.

b) The width of the confidence interval becomes narrower when the sample mean increases.

The above statement is false. As the sample mean increases the width of the confidence interval increases.

c) The width of the confidence interval becomes narrower when the sample size n increases.

The above statement is true as the sample size increases the standard error decreases and the confidence interval become narrower.

8 0
3 years ago
Find the rate of interest per annum when<br> 1. P= 900<br> T= 2 years<br> S.l. = 90
Bas_tet [7]

Answer:

5% p.a will rate of interest

6 0
4 years ago
The sum of the interior angles of a polygon is 1620 how many sides does the polygon have
Olenka [21]

Answer:

11

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A car travels 6 miles in 5 minutes. How fast is it going in miles per hour? How fast is it going in meters per second?
belka [17]

Answer:

72 m\ p.h.

Step-by-step explanation:

we have 60 minute in one hour

we must divide 60 by 5=12

then 6*12=72!!!

it is very easy

5 0
3 years ago
Read 2 more answers
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