Assuming scores are normally distributed, a score of 82% on Ms. Smith's test corresponds to the 
-th percentile, i.e.
where 
is a random variable denoting scores on Ms. Smith's test.
Transform to 
, which follows the standard normal distribution:
which means Amy scored at the 99.98th percentile.
This makes it so that Karina needs to score 
on Mr. Adams' test so that
Their test scores have the same 
score computed above, so
so Karina needs to get a test score of at least 83.5%.
It takes 9 seconds to hit the ground.
Setting the equation equal to 0, we have:
0 = 144 + 128t - 16t²
Factoring out the GCF, we have
0 = 16(9 + 8t - t²)
Factoring out -1, we have:
0 = -16(-9 - 8t + t²)
In standard form, this is
-16(t² - 8t - 9) = 0
This is easily factorable; -9(1) = -9 and -9+1 = -8:
-16(t-9)(t+1) = 0
Using the zero product property, we know either t-9=0 or t+1=0; therefore t=9 or t=-1. Since negative time makes no sense, t=9.
Answer:
Area = 64pi, Circumfrence=2pi(8)
Step-by-step explanation:
N= 3a - 8
______
a-b
- First you will use the distributive property for multiplication on the left side of the equation.
- Combine like terms and change the signs
- Isolate n by factoring
- Divide both sides of the equation by a-b
The answer to the question is
