Answer:
The water level rising when the water is 4 inches deep is
.
Step-by-step explanation:
Rate of water pouring out in the cone = R=
Height of the cup = h = 6 inches
Radius of the cup = r = 3 inches

r = h/2
Volume of the cone = 






h = 4 inches



The water level rising when the water is 4 inches deep is
.
Answer:
Conclusion
There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean
Step-by-step explanation:
From the question we are told that
The population mean for EBR is 
The sample mean for Ascension parish is 
The p-value is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Here
is the population mean for Ascension parish
From the data given values we see that

So we fail to reject the null hypothesis
So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean
Answer:
There are 4,148,350,734,528 ways
Step-by-step explanation:
We have
- 44 senators which are Demonstrators.
- 56 senators which are Repudiators.
(a) How many ways are there to select a committee of 10 senate members with the same number of Demonstrators and Repudiators?
We want to choose 5 Demonstrators and 5 Repudiators. The number of ways to do this is
and
respectively. Therefore, the number of ways to select the committee is given by:


(b) Suppose that each party must select a speaker and a vice speaker. How many ways are there for the two speakers and two vice speakers to be selected?
- <u>If the speaker and vice speaker are chosen between all senators:</u> In this case, the answer will be

This is because there are (in the case of Demonstrators) 44 possibilities to choose an speaker and after choosing one, there would be 43 possibilities to choose a vice speaker. The same situation happens in the case of Repudiators.
- <u>If the speaker and vice speaker are chosen between the committee:</u> In this case, the answer will be
.