Answer:
D. There is not convincing evidence of a relationship between annual company profit and median annual salary paid by the company.
Step-by-step explanation:
In this hypothesis test, the null hypothesis usually states that there is no relationship between the two variables in study.
In opposite, the claim that is being tested is the speculative hypothesis: that there is a significant relationship between both variables.
The researcher takes a sample and the P-value indicates the probability of getting that sample by pure chance <em>if the null hypothesis is true</em>.
Then, a very small P-value, below the significance level, indicates that the sample is very unusual if the null hypothesis is true, what gives evidence to reject the null hypothesis.
In this case, a P-value of 0.56 indicates that the sample is not unusual if the null hypothesis is true, so it gives no support to the claim that the null hypothesis is false and that there exists a relationship between the two variables in study.
775 miles. Divide 7.75 by .5 and then times the answer by 50.
Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle
Answer:
86400 ways
Step-by-step explanation:
Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.
Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.
After picking the places for the women, we will now fill each gap between two women with a man.
We have 6 men. Thus, number of ways to arrange the men is 6!
Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways