What is the range of the function f(x) = 3x − 12 for the domain {-2, 2}? {3, 12} {-6, -18} {6, 18} {12, 3}
2 answers:
Answer:
The correct option is 2. The range of the function is {-6,-18}.
Step-by-step explanation:
The given function is
Domain is the set of all possible inputs and range is the set of all possible outputs.
It is given that the domain of the function is {-2,2}.
For x=-2.
For x=2.
Therefore the range of the function is {-6,-18} and option 2 is correct.
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Answer:
9/20
Step-by-step explanation:
You set the fraction up at first as 45/100. Then you know that 5 goes into each so you divide by 5
45/5=9
100/5=20
You get 9/20, and this is in simplest form.
Answer:
Probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.
Step-by-step explanation:
We are given that a nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 350 with a standard deviation of 220.
A group of 4 Americans is selected.
Let = <u><em>sample mean number of hours of television watched per year</em></u>
The z score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean = 350
= standard deviation = 220
n = sample of Americans = 4
Now, the probability that a group of 4 Americans watch more than 400 hours of television per year is given by = P( > 400 hours)
P( > 400) = P(
>
) = P(Z > 0.45) = 1 - P(Z
0.45)
= 1 - 0.6736 = <u>0.3264</u>
The above probability is calculated by looking at the value of x = 0.45 in the z table which has an area of 0.6736.
Hence, the probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.