The answer is: 7/7
hope this helps :))
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%.
Answer:
x=30
Step-by-step explanation:
Exterior Angle Theorem = the exterior angle of a triangle is equal to the sum of the two opposite interior angle
Thus, 2x+6+36=4x-18
2x+42=4x-18 add 18 to both side
2x+60=4x minus 2x
60=2x
x=30
Answer:
Explanation:
The order of the letters naming the triangles is relevant. When it is said that <em>triangle ABC is similar to triangle MOP</em>, means that:
Therefore:
- ∡C = 102º (by substitution)
Now, you have two angles of triangle ABC and can find the third one:
- ∡B = 180º - 45º - 102º = 33º ← answer
Answer:
4.5 cups of sugar
Explanation:
set up the problem like servings/cups. it would look like 8/2. then add the 18 servings and make it 8/2=18/x so you can cross multiply. cross multiply and you get 8x=36. divide it by 8 and you get x=4.5 cups. hope this helps!