Let's figure this out as though we have no idea what the answer would be.
Step One
Find the new five numbers.
3*3, 8*3, 12*3, 17*3, 25*3
9 , 24 , 36, 51, 75
Step 2
Find the average
(9 + 24 + 36 + 51 + 75)/5 = 195/5 = 39
Step 3
Subtract the individual numbers from the average
(39 - 9) = 30
(39 -24) = 15
(39 - 36) = 3
(39 - 51) = - 12
(39 - 75) = -36
Step 4
Square the results from Step 3
30^2 = 900
15^2 = 225
3^2 = 9
(-12)^2 = 144
(-36)^2 = 1296
Step 5
Take the average of the results from step 4
(900 + 225 + 9 + 144 + 1296)/5
2574 / 5 = 514.8
Step 6
Take the square root of the result from step 5
deviation = sqrt(514.8)
deviation = 22.689
Step seven
Compare the two standard deviations.
s2/s1 = 22.689 / 7.563 = 3
Conclusion
If you are given 1 set of numbers to find a population standard deviation and you multiply each member by a, then the result will be a * the standard population deviation of the first set of numbers.
Note
Your calculator will do this as well, but you have to know how to enter the data into your calculator. That requires that you follow the directions carefully.
Answer:
A
Step-by-step explanation:
angle A is 90 and c and b have to be equal
Answer:
x = 81, y = 68, z = 99
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Consider the triangle on the left, then
x = 180 - (36 + 63) = 180 - 99 = 81
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle on the right, thus
13 + y = x , that is
13 + y = 81 ( subtract 13 from both sides )
y = 68
Consider the triangle on the right
z = 180 - (13 + y) = 180 - (13 + 68) = 180 - 81 = 99
-10 -9 -8 -6 -5 -4 -3 -2 -1 0 1 2 3 4
Go back -5 places and you will land on the answer of -8
Hope this helps! :)
83° because
step by step explanation::
