15/72=5/24
Divide both by three.
:)
Answer:
lines a and b are parallel. The slopes are -1/3
None of the lines are perpendicular to each other.
Step-by-step explanation:
To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:
line a: This line goes down one every time it goes over 3, which can be represented by -1/3
line b: This lines goes down one every time it goes over 3, which can also be written as -1/3
line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2
When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.
When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.
Hope this helps :)
Answer:
Graph 4
Step-by-step explanation:
Graph 4 does not belong. This is as a result of the fact that it Graph 4 has a negative slope(descends) while all other graphs have a positive slope(ascends).
Another way to view it is that the values in Graphs 1, 2 and 3 are directly related while the values in Graph 4 are inversely related.
Answer: 1.25
Step-by-step explanation:
Given: A college-entrance exam is designed so that scores are normally distributed with a mean
= 500 and a standard deviation
= 100.
A z-score measures how many standard deviations a given measurement deviates from the mean.
Let Y be a random variable that denotes the scores in the exam.
Formula for z-score = 
Z-score = 
⇒ Z-score = 
⇒Z-score =1.25
Therefore , the required z-score = 1.25
Answer:
128 boxes
Step-by-step explanation:
The dimensions of the trunk is 24 in. by 24 in by 48 in
The volume = 24(24)(48) = 27648 cu. in.
The cubed boxes each have a volume of 6(6)(6) = 216 cu. in.
27648/216 = 128 boxes
