When applying for the job, we would hope that is the mode. The mode is the value that appears most often; if most people in the office make $100,000 that may speak better of your potential salary.
<span>c.<span>Loan I's monthly payment will be $11.88 smaller than Loan H's.</span></span>
Answer: 0.7619
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
We assume that the variable is normally distributed.
The value of z-score is given by :-
a) For x= 46.9 years
The p-value : 
Hence, the probability that the average age of those doctors is less than 46.9 years =0.7619
Answer:
The fourth term of the expansion is -220 * x^9 * y^3
Step-by-step explanation:
Question:
Find the fourth term in (x-y)^12
Solution:
Notation: "n choose k", or combination of k objects from n objects,
C(n,k) = n! / ( k! (n-k)! )
For example, C(12,4) = 12! / (4! 8!) = 495
Using the binomial expansion formula
(a+b)^n
= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n
For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is
C(n,3)a^(n-3)b^3
=C(12,3) * x^(12-3) * (-y)^(3)
= 220*x^9*(-y)^3
= -220 * x^9 * y^3
