First set up the equation (sum of the angles is 180)
2x + 2(x-1) + (5x +2) = 180
distribute:
2x + 2x -2 + 5x +2 = 180
combine like terms:
9x = 180
solve for x:
x = 20
SO:
2x° = 2(20) = 40 degrees
2(x-1)° = 2(20) - 2 = 40 - 2 = 38 degrees
5x + 2°= 5(20) + 2 = 100 + 2=102 degrees
check: 40 + 38 + 102 = 180
Answer:
8.1 gallons of gas
Step-by-step explanation:
240/9=216/x
simplify 240/9 into 80/3,
80/3=216/x
cross product
3*216=80*x
648=80x
x=648/80
x=8.1
Answer:
C. 147 minutes
Step-by-step explanation:
This is 147 minutes because 2 hours equal up to 120 minutes, before that Evelyn ran 27 minutes. So, now you have to add 120 and 27. You get 147.
Answer:
a) P=0.8
b) P=0.67
c) P=0.05
d) P=0.33
e) P=0.45
Step-by-step explanation:
a. What is the probability that the household has only a cell phone and has high-speed Internet?
This probability is stated in the question: "Suppose of U.S. households having only a cell phone, 80% have high-speed Internet", so the probability is P=0.8.
b. What is the probability that the household has only a cell phone or has high-speed Internet?
This probability is equal to the sum of the probability of having only a cell phone and the probability of having high-speed internet, less the probability of having both (to avoid counting this household twice).
c. What is the probability that the household has only a cell phone and does not have high-speed Internet?
This is equal to the probability of not having high-speed internet given that it has a cell phone (complementaty of the proability of Point (a)) multiplied by the probability of having a cell phone.
d. What is the probability that the household does not have just a cell phone and does not have high-speed Internet?
This probability is complementary of the one calculated in Point (c).
e. What is the probability that the household does not have just a cell phone and does have high-speed Internet?
This is equal to the probability of having high-speed internet less the probability it has both (cell phone and internet).
Find t as a function of d when a=5.
Substituting a=5,
Choice D