What is the range of the function y=3 square root x+8
1 answer:
Answer with explanation:
⇒Range of function in two variables ,that contains variables x,and y are those values of y, for which x is defined.
For example ,consider the linear function , y=x
the set of values that ,x can take for which y is defined called Domain of the function.x∈R
And, the set of values that ,y can take for which x is defined called Range of the function.y∈R
The given function is
Taking cube on both sides
→x is defined for all real values of y ,means for all real values of y,we are getting real values of x.So Range of the given function is ,y∈R.
Option A:→ -∞≤y≤∞
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Answer:
test statistic (Z) is 2.5767 and p-value of the test is .009975
Step-by-step explanation:
: percentage of students who smoke did not change
: percentage of students who smoke has changed
z-statistic for the sample proportion can be calculated as follows:
z= where
- p(s) is the sample proportion of smoking students (
=0.25)
- p is the proportion of smoking students in the survey conducted five years ago (18% or 0.18)
- N is the sample size (200)
Then, z= ≈ 2.5767
What is being surveyed is if the percentage of students who smoke has changed over the last five years, therefore we need to seek two tailed p-value, which is .009975.
This p value is significant at 99% confidence level. Since .009975 <α/2=0.005, there is significant evidence that the percentage of students who smoke has changed over the last five years