Answer:
This means the center is (-3,-8) and the radius is 9
Step-by-step explanation:
(x+3)^2 + (y+8)^2 = 81
The equation of a circle can be written as
(x-h)^2 + (y-k)^2 = r^2 where the center is (h,k) and the radius is r
We can rewrite the above equation as
(x- -3)^2 + (y - -8)^2 = 9^2
This means the center is (-3,-8) and the radius is 9
B similar AA criteria
there are two angles that measure the same and according to the AA criteria that means the two triangles are similar.
Answer:
Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10
Part 2: The research board can be chosen in 32760 ways
Step-by-step explanation:
Part 1:
The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:
So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:
- n by 40 participants
- k by 4 groups
- n1, n2, n3 and n4 by 10 participants of every subgroups
We get:
Part 2:
The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:
So in this case there are 4 offices in the research board, those are director, assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.
Therefore, replacing values of:
- n by 15 doctors
- k by 4 offices
We get:
Answer:
And if we use the probability mass function we got:
And replacing we got:
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:
And for this case we can use the complement rule and we got:
And if we use the probability mass function we got:
And replacing we got:
37 because you add 13+10=23 7+7=14 and 23+14=37