Answer:
Null Hypothesis,
: p
45%
Alternate Hypothesis,
: p < 45%
Step-by-step explanation:
We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.
The collected random sample of size 50 showed that only 18 were women.
<u><em>Let p = proportion of women in similar sales positions across the country in 2004</em></u>
So, Null Hypothesis,
: p
45%
Alternate Hypothesis,
: p < 45%
Here, <u><em>null hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.
On the other hand, <u><em>alternate hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is less than 45%.
The test statistics that would be used here is One-sample z proportion test statistics, i.e;
T.S. =
~ N(0,1)
Hence, the above hypothesis is appropriate for the given situation.
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
Answer: when x =0
Step-by-step explanation:
Y=3(0)+1
0+1
1
At first you need to know total cost (875)(1.05)=918.75According to the fact that you have already paid for 7 months, we have to subtract 700=218.75 what still needs to be payedOn the 8 moth you have missed the payment so (218.75)(8/12), and remaining moths are nearly 145.83333To finish, multiply by the apr and you will get $20.78 interest charged. So, I am pretty sure that he answer is D.