Consider a data set consisting of N numbers: {21, 12, ..., Li, ..., IN-1, IN} = X. Write down the definition of the population) variance, and standard deviation. For the data set {10, 15, 20, 25, 30} = X, compute the variance and standard deviation. Next, consider the transformation Y = 32+2X. compute the variance and standard deviation of Y. Now consider transforming the general data set X = {21, 22, ..., Li, ..., IN-1, IN} into another data set Y, according to the following function y = a + Br, where a is any number and is a positive number. How are the variances of X and Y related? How are the standard deviations of X and Y related?

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

a

step-by-step explanation:

u take $30 minus $24. the answer/original($30)

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2