Answer:
Step-by-step explanation:
5 - (x + 5) > -2(x + 4)
5 - x - 5 > -2x - 8
-x > -2x - 8
-x + 2x > -8
x > -8
Answer:
3.6661
3.6661
A, Adding a constant does nothing to the standard deviation
Step-by-step explanation:
I'm gonna assume s=standard deviation
The standard deviation is just the square root of the second moment minus the first moment squared
Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely
Let's start by calculating the first moment (AKA The mean)
1/5(8+16+14+8+16)= 12.4
Let's then find the second moment
1/5(8²+16²+14²+8²+16²)= 167.2
√(167.2-12.4²)=3.6661
b.
While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun
same process
.2(16+24+22+16+24)= 20.4
.2(16²+24²+22²+16²+24²)=429.6
√(429.6-20.4²)= 3.6661
In exponential form: 10^2=3(x+5)
If we were to solve, x=85/3
Answer:
B
Step-by-step explanation:
3x-8+2x+5-4x+8
3x+2x-4x -8+5+8
x + 5
x+5