Answer:
c. 106 million
Step-by-step explanation:
A = number of people in the sample that use public transportation 5 or more days per week
A = 2,067,153
B = number of people total in the sample
B = 4,295,280
C = proportion of those in the sample that use public transportation 5 or more days per week
C = A/B
C = (2,067,153)/(4,295,280)
C = 0.48126 approximately
Multiply this value by the figure 220 million to compute the estimated number of people who use public transportation 5 or more days per week
C*(220 million) = 0.48126*(220 million) = (0.48126*220) million = 105.8772 million = 106 million
Which pair shows equivalent expressions?
A.2(2/5x + 2)=2 2/5x + 1
B.2(2/5x + 2)=4/5x + 4
C.2(2/5x + 4)=4/5x + 2
D.2(2/5x + 4)=2 2/5x + 8
Solution:
Let us distribute 2 inside the parenthesis.
That is, we use distributive property:
a(b+c)=ab+ac
So, 
Answer:Option (b)
Applying distributive property, a(b+c)=ab+ac
So, Option (B) is correct.
This is a binomial experiment and you'll use the binomial probability distribution because:
- There are two choices for each birth. Either you get a girl or you get a boy. So there are two outcomes to each trial. This is where the "bi" comes from in "binomial" (bi means 2).
- Each birth is independent of any other birth. The probability of getting a girl is the same for each trial. In this case, the probability is p = 1/2 = 0.5 = 50%
- There are fixed number of trials. In this case, there are 5 births so n = 5 is the number of trials.
Since all of those conditions above are met, this means we have a binomial experiment.
Some textbooks may split up item #2 into two parts, but I chose to place them together since they are similar ideas.
Answer:
B. ZY
Step-by-step explanation:
The longest side of any triangle will always correlate with the largest angle. Since m∠A = 116° and is biggest, the corresponding side ZY would be the largest side.
