Considering the situation described, we have that:
a) The critical value is of z = -1.645.
b) Since the test statistic is less than the critical value, we should reject the null hypothesis H0.
<h3>What is the critical value?</h3>
We have a left-tailed test, as we are testing if the proportion is less than a value. Hence the critical value is z with a p-value equals to the significance level, hence z with a p-value of 0.05, hence z = -1.645.
<h3>What is the decision?</h3>
Considering the test statistic, for a left-tailed test, we have that:
- Less than the critical value: Reject H0.
- Equal or greater: Do not reject.
In this problem, z = -2.39 is less than -1.645, hence we should reject the null hypothesis H0.
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Using the given table:
a) the average rate of change is 32.5 jobs/year.
b) the average rate of change is 12.5 jobs/year.
<h3>
How to find the average rate of change?</h3>
For a function f(x), the average rate of change on an interval [a, b] is:
a) The average rate of change between 1997 and 1999 is:
So the average rate of change is 32.5 jobs/year.
b) Now the interval is 1999 to 2001.
The rate this time is:
So the average rate of change is 12.5 jobs/year.
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Answer:
1.26 corect answer
Step-by-step explanation:
the surface area of a sphere is 4*pi*r^2
so r is sqrt(20/pi) which is sqrt(1.59) = 1.26
Answer:
D. 150 metres
Step-by-step explanation:
speed = (60) times 5/18 = 50/3
lenght of the train = (speed x time)
lenght = 50/3 times (9)
= 150 m.
