A. 2(x+14) = 42
(2x = 14
x = 7
2(7) + 2(14) = 14 + 28 = 42)
Answer:
we need to so the functions
Step-by-step explanation:
Answer:

Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to

we have

step 1
Find the distance AB
we have

substitute in the formula



step 2
Find the distance BC
we have

substitute in the formula



step 3
Find the distance DE
we have

substitute in the formula




step 4
Find the distance AE
we have

substitute in the formula




step 5
Find out the area of the four walls
To determine the area sum the length sides and multiply by the height of the walls
so

substitute the given values
The height of the walls is 10 ft



step 6
Determine the number of gallons needed to paint the four walls
we know that
one gallon of paint is enough to cover 400 square feet
using proportion

Round up

Linear, because the points (1,8) (2,6) (3,4) etc are decreasing at a constant rate of -2.
Answer:
16.7% of GMAT scores are 647 or higher
Step-by-step explanation:
The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.
In this problem, we have that the mean
is 547 and that the standard deviation
is 100.
a. What percentage of GMAT scores are 647 or higher?
647 is 1 standard deviation above the mean.
So, 50% of the values are below the mean. Those scores are lower than 647.
Also, there is the 34% of the values that are above the mean and are lower than 647.
So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.
The sum of the probabilities must be 100
So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.