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.
3.15. Just find the unit rate which is 1.5 and multiply that by 3
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I'm going to assume you mean:
13 * (3/4) + x = 7 * (1/4)
Let's go ahead and simplify the right side.
7 * (1/4) = 1.75
So now we have:
13 * (3/4) + x = 1.75
Now let's take care of the right side. Multiplication before addition.
13 * (3/4) = 9.75
9.75 + x = 1.75
To isolate x, we subtract 9.75 from both sides.
9.75 - 9.75 + x = 1.75 - 9.75
x = -8
Hopefully I spaced this well. \('-')/
Answer: $1,350
Step-by-step explanation:
45 hours x 10 dollars/hour = 45x10 dollars = 450 dollars/week
450 dollars/week x 3 weeks = 450x3 dollars = 1350 dollars
