Answer:
The standard deviation of the new data will be increased as compared to the previous standard deviation of the data.
Step-by-step explanation:
The prices are given to be : 59, 60, 65, 99, 175
Standard deviation = $49
Now, if we add or subtract any constant value to each of the terms then the standard deviation remains unchanged.
But, we add a new price in the given data that is $450

Hence, Standard deviation is calculated to be 139.5
Therefore, the standard deviation of the new data will be increased as compared to the previous standard deviation of the data.
Answer:
He generates a random whole number from 1 to 3.
Step-by-step explanation:
Each winner has 3 possibilities, gets cotton candy, gets a shirt, or gets a keychain. We can asign each of this possibiltiies a number, 1 for cotton candy, 2 for the shirt and 3 for a keychain. So, for a simulation, its enough to take one of this whole numbers for each winner.
Answer = -8
Using number line, start with -3
-3 -1 = -4
-4 -1 = -5
.......
-7 -1 = -8
-3 -4 -5 -6 -7 -8
Answer:

Step-by-step explanation:
Solve for z:
-2(z + 3) = -z - 4(z + 2)
-4(z + 2) = -4z - 8:
-2(z + 3) = -z -4z - 8
Grouping like terms, -z - 4z - 8 = (-z - 4z) - 8:
-2(z + 3) = (-z - 4z) - 8
-z - 4z = -5z:
-2 (z + 3) = -5z - 8
Expand out terms of the left hand side:
-2z - 6 = -5 z - 8
Add 5z to both sides:
(5z - 2z) - 6 = (5z - 5z) - 8
5z - 5z = 0:
(5z - 2z) - 6 = -8
5z - 2z = 3z:
3z - 6 = -8
Add 6 to both sides:
3z + (6 - 6) = 6 - 8
6 - 6 = 0:
3z = 6 - 8
6 - 8 = -2:
3z = -2
Divide both sides of 3z = -2 by 3:


