Answer:
-220
Step-by-step explanation:
Answer:
C - 40
Step-by-step explanation:
The unit rate in a graph is how much a unit increases with time. The unit here is Distance (mi) and the time here is Time (h). So to find the unit rate, you divide the y-value with its corresponding x-value (given it is a straight line, which it is in this case).
So for example, let's take the unit 80mi, its corresponding x-value is 2, so 80/2 = 40. Let's do the same for 160mi, its corresponding x-value is 4, so 160/4 = 40 and so on. The value will be the same for all x-y values in the graph.
Answer:
x = -1, y = -4
Step-by-step explanation:
Let's solve our system of equations by substitution.
y = 5x + 9y = −x + 3
Step: Solve = 5x + 9 for y:
y = 5x + 9
Step: Substitute 5x + 9 for y in y = −x + 3:
y = −x + 3
5x + 9 = −x + 3
5x + 9 + x = −x + 3 + x (Add x to both sides)
6x + 9 = 3
6x + 9 + −9 = 3 + −9 (Add -9 to both sides)
6x = −6
6x/ 6 = −6/6(Divide both sides by 6)
x = −1
Step: Substitute −1 for x in y = 5x + 9:
y = 5x + 9
y = (5)(−1) + 9
y = 4(Simplify both sides of the equation)
So our answers are y = -4 and x = -1.
a. This information is given to you.
b. We want to find
so we first transform 
to the standard normal random variable 
with mean 0 and s.d. 1 using
where 
are the mean/s.d. of . Now,
where 
is the CDF for .
c. The 76th percentile is the value of 
such that
Transform to and apply the inverse CDF of .
I think the X will be -3.
