Answer:
x=11.5
Step-by-step explanation:
2x+8=-15
x=-23/2
x=-11.5
Vertical compression of a function is moving the graph of the function towards the x axis.
It is done by multiplying F(x) with IaI<1, the absolute value of a is less than 1. Then we get f(x)=a*F(x).
If we have a function F(x)=x, and we multiply it by a=1/2, we get:
f(x)=a*F(x)=a*x=(1/2)*x.
This linear function is vertically compressed because the the graph of a new function is closer to the x axis.
Answer:
<u>A. Mean = 402.5</u>
<u>B. Variance = 77,556.25</u>
<u>C. Standard Deviation = 278.49</u>
Step-by-step explanation:
Let's calculate the mean, variance and standard deviation of the set of numbers given:
A. Mean = (45 + 340 + 400 + 825)/4 = 1,610/4 =<u> 402.5</u>
B. Variance [(45 - 402.5)² + (340 - 402.5)² + (400 - 402.5)² + (825 - 402.5)²]/4 = [(127,806.25 + 3,906.25 +6.25 + 178,506.25/4 =<u> </u><u>77,556.25</u>
C. Standard Deviation = √Variance = √77,556.25 =<u> 278.49</u>
Answer:
38.9
Step-by-step explanation:
21 hrs. Because if Harry worked one third the hrs thats Aiden worked then 7×3 =21 and 21÷3=7. So 7 is one third of 21.