Answer:
The number of blocks in one hour is the same that the unit rate, so 16 blocks per hour
Step-by-step explanation:
we know that
To find out the unit rate, divide the total blocks by the total time
so

Answer:
13
10
Step-by-step explanation:
Is it ok?
I only typed the values, if you want explation I can help you.
Answer:
(-24, -8)
Step-by-step explanation:
Let us recall that when we have a function f

<em>if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing</em>. That is

at the point (x,y) gives the direction of maximum rate of increasing

at the point (x,y) gives the direction of maximum rate of decreasing
In this case we have

and we want to find the direction of fastest speed of decreasing at the point (-3,-2)

at the point (-3,-2) minus the gradient equals

hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.
Answer:
d. 2 in the numerator, 15 in the denominator
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
We want to test this hypothesis:

And we have this property
The degrees of freedom for the numerator on this case is given by
where k =3 represent the number of groups.
The degrees of freedom for the denominator on this case is given by
.
And the total degrees of freedom would be
On this case the correct answer would be 2 for the numerator and 15 for the denominator.
d. 2 in the numerator, 15 in the denominator