Which of the following statements about f(x) is true?
2 answers:
Answer:
B. The function f(x) has an inverse because it passes the horizontal line test.
Step-by-step explanation:
The given function is the graph of .
This function will have an inverse <em>if and only if its graph passes the horizontal line test.</em>
That is, if a horizontal line is drawn across the graph, it will intersect the graph at only one point.
Since the graph of the given function passes the horizontal line test, it has an inverse.
See graph in attachment.
The correct answer is B.
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Answer:
The chance of getting a sample proportion of 70% or greater is 0.026.
Step-by-step explanation:
We are given that a poll shows that 50% of students play sports .
A random sample of 20 students showed that 70% of them play sports.
Let = sample proportion of students who play sports
The z-score probability distribution for the sample proportion is given by;
Z = ~ N(0,1)
where, = sample proportion of students who play sports = 70%
p = population proportion of students who play sports = 50%
n = sample of students = 20
Now, the chance of getting a sample proportion of 70% or greater is given by = P(
70%)
P(
70%) = P(
) = P(Z
1.95) = 1 - P(Z < 1.95)
= 1 - 0.97441 = <u>0.026</u>
The above probability is calculated by looking at the value of x = 1.95 in the z-table which has an area of 0.97441.
Hence, the chance of getting a sample proportion of 70% or greater is 0.026.