Answer:


Step-by-step explanation:
Given


Required
Determine the values of x and RTV
Since, TV is a bisector, then
--- (1)
and
-- (2)
Substitute values of RTV and VTS in (2)

Collect Like Terms


Solve for x

Substitute 5 for x in 



Answer:
b. 42 people
Step-by-step explanation:
For each foreigner living in the U.S., there are only two possible outcomes. Either they are naturalized citizens, or they are not. The probability of a foreigner living in the U.S. not being a naturalized citizen is independent from other foreigners living in the U.S. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

"approximately 60% of foreign-born people who live in the U.S. are not naturalized citizens"
This means that 
70 foreign-born people who live in the U.S
This means that 
How many people would you expect to get that are not naturalized citizens?

So the correct answer is:
b. 42 people
Answer:
1/8 ;
12 / 51
Step-by-step explanation:
To select any 5 numbers out of 40
Number of selection required / total numbers
Probability of winning = 5 /40 = 1/8
Total number of socks = 18
White, W = 8
Black, B = 6
Blue, C = 4
probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
P(B) * [(P(C) + P(W)]
Probability = required outcome / Total possible outcomes
P(B) = 6 / 18 = 1/3
Without replacement :
P(W or C) = 8/17 + 4/17 = 12/17
Hence,
1/3 * 12/17
= 12 / 51
Answer:
f(3) = 36
Step-by-step explanation:
ƒ(x) = 5x^2 − 9x + 18
Let x =3
ƒ(3) = 5(3)^2 − 9(3) + 18
= 5*9 -27 +18
= 45 -27+18
=36