Answer:
38 remander 8
Step-by-step explanation:
Hello :
<span>f(x)= x +2 and g(x)= 1/x
</span><span>(g o f)(x) = g(f(x))=g(x+2) = 1/(x+2)</span>
D=number of drinks
p=number of bags of popcorn
75=6d+8p
100.50=12d+10p
multiply first equation by -2 and add to first
-49.50=-6p
divide -6
8.25=p
sub
100.50=12d+10p
100.50=12d+82.50
minus 82.50
18=12d
divide 12
1.50=d
$1.50 per drink
YOU BETTER READ AND LEARN AND NOT JUST USE THIS TO PASS, LEARN
4/3 + 3/4
Make the denominator the same: 12
16/12 + 9/12
= 25/12
Turn that into a mixed number:
= 2 1/25
Answer:
0.02275
Step-by-step explanation:
We have been given that the time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. We are asked to find the probability of completing the exam in one hour or less.
We know that 1 hour equals 60 minutes. First of all, we will find the z-score corresponding to 60 minutes.

z = z-score,
x = Sample score,
= Mean,
= Standard deviation.



Now, we will use normal distribution table to find area under z-score of
as:


Therefore, the probability of completing the exam in one hour or less is 0.02275.