Answer:
Follows are the solution to this question:
Step-by-step explanation:
please find the complete question in the attached file.
female = 23 and male = 19 faculty members
Randomly selected member are = 6
In point 1:
The Probability to equally selecting men and women:
In point 2:
The Probability of selecting at least 4 men:
In point 3:
The probability in which no women are chosen implies that 6 selected members are from 23 women:
In point 4:
The Probability in which no more than 4 women are selected:
Answer: 
; 5
Step-by-step explanation:
Given series : ![[\dfrac{5}{1\cdot2}]+[\dfrac{5}{2\cdot3}]+[\dfrac{5}{3\cdot4}]+....+[\dfrac{5}{n\cdot(n+1)}]](https://tex.z-dn.net/?f=%5B%5Cdfrac%7B5%7D%7B1%5Ccdot2%7D%5D%2B%5B%5Cdfrac%7B5%7D%7B2%5Ccdot3%7D%5D%2B%5B%5Cdfrac%7B5%7D%7B3%5Ccdot4%7D%5D%2B....%2B%5B%5Cdfrac%7B5%7D%7Bn%5Ccdot%28n%2B1%29%7D%5D)
Sum of series = ![S_n=\sum^{\infty}_{1}\ [\dfrac{5}{n\cdot(n+1)}]=5[\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}]](https://tex.z-dn.net/?f=S_n%3D%5Csum%5E%7B%5Cinfty%7D_%7B1%7D%5C%20%5B%5Cdfrac%7B5%7D%7Bn%5Ccdot%28n%2B1%29%7D%5D%3D5%5B%5Csum%5E%7B%5Cinfty%7D_%7B1%7D%5Cdfrac%7B1%7D%7Bn%5Ccdot%28n%2B1%29%7D%5D)
Consider 
⇒ ![S_n=5\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}=5\sum^{\infty}_{1}[\dfrac{1}{n}-\dfrac{1}{n+1}]](https://tex.z-dn.net/?f=S_n%3D5%5Csum%5E%7B%5Cinfty%7D_%7B1%7D%5Cdfrac%7B1%7D%7Bn%5Ccdot%28n%2B1%29%7D%3D5%5Csum%5E%7B%5Cinfty%7D_%7B1%7D%5B%5Cdfrac%7B1%7D%7Bn%7D-%5Cdfrac%7B1%7D%7Bn%2B1%7D%5D)
Put values of n= 1,2,3,4,5,.....n
⇒ 
All terms get cancel but First and last terms left behind.
⇒
Formula for the nth partial sum of the series :
Also, 
Step-by-step explanation:
Quotient of s and r is s/r
s/r to the 3rd power = (s/r)^3
Number 6
Answer:
y = (c - ax)/b
Step-by-step explanation:
ax + by = c
by = c - ax
y = (c - ax)/b
<em>I answered number 5 in your last question.</em>
Answer
x=6, y=21/2
Explanation
The 86 degrees is just to make you confused.
Since this is a congruent triangle, you can just follow these steps.
Line AB: To get from 4 to 6, you multiply by 1.5.
Line BC: Divide 9 by 1.5 to get x. 9 divided by 1.5 is 6.
Line AC: Multiply 7 by 1.5 to get y. 7 times 1.5 is 10.5.
So the correct answer is the first choice; x=6, y=21/2 (this is also 10.5).
