Answer:
The area of the resulting cross section is 
Step-by-step explanation:
we know that
The resulting cross section is a circle congruent with the circle of the base of cylinder
therefore
The area is equal to
we have
-----> the radius is half the diameter
substitute the values
For the given situation we have a total of 259,459,200 permutations.
<h3>
How many permutations are?</h3>
First, how we know that it is a permutation?
Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).
Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.
- For the first position there are 15 options.
- For the second position ther are 14 options (one runner already finished).
- For the third position there are 13 options.
- And so on.
Then the total number of permutations (product between the numbers of options) is:
P = 15*14*13*12*11*10*9*8 = 259,459,200
If you want to learn more about permutations:
brainly.com/question/11732255
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Answer:
d. I and III only
Step-by-step explanation:
I. The seeds should be randomly assigned to a treatment.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
The distribution of difference between two sample proportions :
Given :
Proportion 1 = P1 ;
Proportion 2 = P2 ;
Sample assignment for both samples 1 and 2 into the different treatment groups should be randomized, that is a simple random sampling of subjects into the treatment and control group. The sample design for difference between two sample proportions should be independent.
Finally each of the two proportions P1 and P2 should record a minimum of 10 successes and 10 non - successful Occurrences.
ANSWER
x coordinates of the intersection points
EXPLANATION
The given system of equations is:
We want to use the graph of these functions to solve
The point of the intersection of the graph gives the solution to the simultaneous equation above.
Hence the x-coordinates of the intersection points gives the solution set of
The last choice is correct.
