Answer:
Area = 1500 
Step-by-step explanation:
Area= height ×(Base 1 +base 2)
Area = 20 × (40+35)
Area = 20×75
Area = 1500 
Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)
2. angle KLP = 3x, so
3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. 5 gives 4x = 108, so x = 27
Answer:
19.35% probability that five will have completed four years of college
Step-by-step explanation:
For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
28% of individuals
This means that 
For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?
This is P(X = 5) when n = 15. So


19.35% probability that five will have completed four years of college
I hope this helps you
small circle area=3,14.19^2=1133,5
large circle area =3,14.24^2=1808,6
shaded area=1808,6-1133,5
shaded area=675,1
Answer:
2/5
Step-by-step explanation:
The formula for slope is
m = (y2-y1)/(x2-x1)
= (5-7)/(1-6)
=-2/-5
=2/5