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%.
Please add a photo so we can understand what you mean and your question.
True because it has 4 equal sides and 4 equal interior angles each measuring 90 degrees
Answer:
Step-by-step explanation:
Let x = the number of bottles of paint that Carmen can buy
Let y = the number of boxes of colored pencils that Carmen can buy
A bottle of paint costs $2
A box of colored pencils costs $3.50
She can spend no more than $42 on art supplies. This means
She can buy bottles of paint worth 2×x = $2x
She can buy boxes of colored pencils
worth 3.5 × y = $3.5y
Since the total amount she can spend cannot exceed $42, the equation becomes
2x + 3.5y lesser than or equal to 42
This is shown in the attached photo
b) three different solutions to the inequality would be three different possible values that x and y can take. These are
x = 7 while y = 8
x = 10 while y = 6
x = 14 and y = 4
Answer:
3.4 x 10^-5
Step-by-step explanation:
