Answer:
x = 4
Step-by-step explanation:
Given
=
( cross- multiply )
4x - 7 = x + 5 ( subtract x from both sides )
3x - 7 = 5 ( add 7 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
When it says 'which has a greater rate of change' it is referring to 'what has a greater slope.' So, let's calculate each thing's slope:
Table:
I'm going to pick the easiest values to work with, so I'll pick the points (0, -2) and (1, -9/5) - I simplified the mixed fraction. So, here we go, the slope formula is:



So, the table's slope is
-1/5.
Graph
We can, again, pick two points. I'll pick the two given: (5, 0) and (0, -3). Let's start off with the same formula:


The graph's slope is
3/5.
Now, we just have to decide which is bigger:
-1/5 or
3/5. So, clearly:
3/5 > -1/5.
The
3/5 slope was the graph, hence it has the greater rate of change (
that's why it's B). If anything doesn't make sense, feel free to DM me or ask!
Answer:
7
Step-by-step explanation:
Since ABCD is a parallelogram
Then AD//BC
Then:
it is 16 ...........................................
Answer:
The GMAT score corresponding to the 16th percentile is 473.
Step-by-step explanation:
Empirical Rule.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
68% of the measures within 1 standard deviation of the mean.
This means that they are between the 50 - (68/2) = 50 - 34 = 16th percentile(one standard deviation below the mean) and the 50 + (68/2) = 50 + 34 = 84th percentile(one standard deviation above the mean).
In this question:
Mean of 549, standard deviation of 76.
16th percentile:
One standard deviation below the mean, so 549 - 76 = 473.
The GMAT score corresponding to the 16th percentile is 473.