59 17 11 8 11 16

how do you do standard deviations with these numbers

3.96

Step-by-step explanation:

Standard Deviation quantifies how diverse the values of your data set are and is useful in determining how your numbers are different from each other.

Step 1: Collect your data to form a data set from which you wish to calculate a standard deviation.

5 9 17 11 8 11 16

Step 2: Calculate the mean of the data set;

5 + 9 + 17 + 11 + 8 + 11 + 16 = 77

Mean = 77 / 7

Mean = 11

Step 3: Subtract the mean from your data set and square the differences, continue with each number on your data set;

5 - 11 = (-6)² = 36

9 - 11 = (-2)² = 4

17 - 11 = (6)² = 36

11 - 11 = (0)² = 0

8 - 11 = (-3)² = 9

11 - 11 = (0)² = 0

16 - 11 = (5)² = 25

Step 4: Find the mean of the differences;

36 + 4 + 36 + 0 + 9 + 0 + 25 = 110

Mean = 110 / 7 = 15.71

Step 5: Take the square root of the Mean above to find the standard deviation;

²√15.71 = 3.96

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3