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%.
Answer:x=100
Step-by-step explanation:
Since you know that g(x)=3x-11 all you have to do is substitute that into g(x)=289. So you get 3x-11=289. To get x you have to add 11 on both sides.
3x-11=289
+11 +11
----------------
3x = 300
Divide 3 on both sides to get x by itself
3x =300
---- -------
3 3
x=100
Answer:
- 3
Step-by-step explanation:
Differentiate f(x) using the power rule
(a
) = na
Given f(x) =
= 3
, then
f'(x) = - 3
= - 
f'(1) = -
= - 3
Answer:
Look below.
Step-by-step explanation:
I don't really want to explain... (just use Pythagorean's Theorem)
2a. 12
2b. 5
2c. 13
3a. 4
3b. 3
3c. 5
The c's are the hypotenuse.