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dezoksy [38]
3 years ago
10

What happens to the mean of the data set shown below if the number 20 is added to the data set?

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer: The data set is missing therefore I will give you a more general answer

answer : The mean value will shift ( to the right ) by 20

Step-by-step explanation:

when a  number is added to each data value in a data set the mean value will shift ( to the right ) likewise the mode, and Median by the same amount that was added to the data set . but the range and IQR will remain unchanged

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On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took
dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

\dfrac{1116.5+r}{12}=98.04

We can now solve for r algebraically, first by multiplying both sides by 12:

1116.5+r=98.04(12)\\1116.5+r=1176.48

And then subtracting 1116.5 from both sides:

r=1176.48-1116.5\\r=59.98

6 0
3 years ago
What is the unit rate of 162 heartbeats in 60 seconds?
svetoff [14.1K]
162/60 = 2.7 heartbeats per second
4 0
3 years ago
Read 2 more answers
Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connec
dezoksy [38]
Just subsitute 8 for n
1/2(8)^2-1/2(8)
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28
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3 years ago
How many 1/4 inch lengths of rod can be cut from 3 1/2 inch rod
stepan [7]

Answer:

14

Step-by-step explanation:

Shown in picture above.

5 0
3 years ago
Simplify the expression. Write the answer using scientific notation. (5x10^5)^-2 A. 0.04x10^-10 B. 4.0x10^-11 C. -10x10^-10 D. 4
Diano4ka-milaya [45]

Simplify the expression

(5*10^5)^-2

It can be simplified as below:

(5*10^5)^{-2}=\frac{1}{(5*10^5)^2} \\\\(5*10^5)^{-2}=\frac{1}{25*10^{10}} \\\\(5*10^5)^{-2}=\frac{1}{25}*10^{-10}\\\\ (5*10^5)^{-2}=0.04*10^{-10}\\

5 0
3 years ago
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