Answer:
A. Shift down 2 units.
B. Vertically stretch by a factor of 4.
Step-by-step explanation:
Given the function
f(x)=x
If we stretch y vertically by a factor of m, we have: y=m·f (x)
Therefore:
Vertically stretching f(x) by a factor of 4, we have: 4x.
Next, if we take down f(x) by k units we have: y= f(x)-k
Therefore: Taking down 4x by 2 units, we obtain:
g(x)=4x-2
Therefore, Options A and B applies.
Answer:
[-5, 2]
Step-by-step explanation:
We have to find the interval for which f(x) <= 0, the interval is [-5, 2].
Answer:
0
Step-by-step explanation:
Answer:
5.96% probability that exactly 3 people in the sample are afraid of being alone at night.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So we use the binomial probability distribution 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.
5% of Americans are afraid of being alone in a house at night.
This means that 
If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.
This is P(X = 3) when n = 20. So


5.96% probability that exactly 3 people in the sample are afraid of being alone at night.
Answer:30=-34
Step-by-step explanation:
First you distribute so 2×X is 2X
2×8 is 16 then you do the other side but you put a one in front of the- so it goes 1 times 3x is 3x and you turn the minus into a plus sign and turn the positive 34 into a negative 34 so -34× 1 is -34 then write that out to look like 14-2X+16= 5X -3X + -34 then you add or subtract the commons which is 14+16= 30 and 5X-3X=2X so now your equation is 30-2x=2X+(-34) then you want to get your X on the same side so you subtract 2X from the right side and the left side then your left 30=-34