Given:





To find:
The variance. of combined set.
Solution:
Formula for variance is
...(i)
Using (i), we get




Similarly,




Now, after combining both sets, we get




Therefore, the variance of combined set is 15.4.
Answer:
The river is 3.15 feet deep.
Step-by-step explanation:
First let's recognize what we need to find: the depth of the river
We know last year the river was 4.2 feet deep, but it dropped 25%. This means we also need to find how much it dropped. To find this, we need to know what 25% of 4.2 is. Write an equation for this.
y = 25% of 4.2
y = 0.25 • 4.2
y = 1.05
This means that the river dropped 1.05 feet. To know its depth now, we need to subtract 1.05 from 4.2. Write an equation for this.
d = 4.2 - 1.05
d = 3.15
The river is 3.15 feet deep.
Hope this helps!
Don't you mean 66 divided by eight?
That would equal 8.25, or 8 remainder 2.
if you did mean 8 divided by 66, your answer is not one of your choices.
Answer:
y = 6
Step-by-step explanation:
To write the equation of a line, calculate the slope between points (-4,y) and (-2,8). Substitute m = 1 and solve for y.

Answer:
B
Step-by-step explanation:
Two numbers are relatively prime when there is no integer greater than one that that is a factor of both of them.
A: 15 and 21 both have a factor of 3.
<u>B</u>: 24 and 49 have no common factors, and therefore, are relatively prime.
C. 35 and 135 both have a factor of 5.
D: 45 and 102 both have a factor of 3.