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salantis [7]
2 years ago
12

For the data set 6, 5, 10, 11, 13, the mean, X, is 9. What is the standard deviation?

Mathematics
1 answer:
Ket [755]2 years ago
4 0

Answer:

standard deviation = 3.0331

Step-by-step explanation:

You can solve for this two different ways.

If you have a TI-84 calculator or something similar, type all the data into list 1. Then click the stat button, then the calc button, then 1-vars stats. This will give you mean, standard deviation, median, mode, etc.

If you are solving by hand, find the different between each data point and the mean. Square these numbers and find the average. Then take the square root of that.

3^2 + 4^2 + 1^2 + 2^2 + 4^2 = 46

46/5 = 9.2

square root of 9.2 = 3.0331

Hope this is helpful!!!!!!!!!!! :)

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Find the product of the roots of the equation<br> xl-5x - 36 = 0
Marat540 [252]

Answer:

Step-by-step explanation:

Hello, I assume that you mean

x^2-5x-36

The product is -36.

x_1 \text{ and } x_2 \text{ are the two roots, we can write}\\\\(x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1\cdot x_2

So in this example, it means that the sum is 5 and the product is -36.

Thank you

5 0
3 years ago
Joshua invested $750 in an account paying an interest rate of
Maslowich
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
5 0
2 years ago
Does this graph show a constant or variable rate of change?
valentinak56 [21]

Answer:

constant

Step-by-step explanation:

5 0
2 years ago
Find the value of x for which ABCD must be a parallelogram.
Tems11 [23]
D. X = 8 , Y = 6
3x - 14 = x + 23x - x = 2 + 142x = 162x / 2 = 16/2x = 8
To check: 3x - 14 = x + 2 ;  3(8) - 14 = 8 + 2  ;  24 - 14 = 10  ; 10 = 10
4y - 7 = y + 114y - y = 11 + 73y = 183y / 3 = 18 / 3y = 6
To check: 4y - 7 = y + 11 ; 4(6) - 7 = 6 + 11  ;  24 - 7 = 17  ; 17 = 17
hopes it helps:)


8 0
3 years ago
Read 2 more answers
With her promotion, Nicki's salary increased from $19.50 an hour to $22.50 an hour. What is the percent of increase, rounded to
olga nikolaevna [1]
The equation for percentage increase is
{(New value - old value) / old value} x100%
Therefore it should be
{(22.5 - 19.5) / 19.5} x 100%
=15% (rounded to nearest whole number)
Answer is B
5 0
3 years ago
Read 2 more answers
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