Answer: P(odd) = 0.499
Step-by-step explanation:
Given:
Total number of people = 20
Number of men = 12
Number of women = 8
Number of jury to be selected = 6
For the jury to have an odd number of women. it must have either of the three.
1. 1 woman , 5 men
2. 3 women, 3 men
3. 5 women, 1 man
The total possible ways of selecting the 6 people jury is;
N = 20C6 = 20!/6!(20-6)!
N = 38760
The possible ways of selecting;
Case 1 : 1 woman, 5 men
N1 = 8C1 × 12C5
N1 = 8 × 792 = 6336
Case 2 : 3 women , 3 men
N2 = 8C3 × 12C3
N2 = 12320
Case 3 : 5 women, 1 man
N3 = 8C5 × 12C1
N3 = 672
P(Odd) = (N1+N2+N3)/N
P(odd) = (6336+12320+672)/38760
P(odd) = 19328/38760
P(odd) = 0.499
Answer: I think it's 160
Step-by-step explanation:
Answer:
$22.5.
Step-by-step explanation:
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
Answer:
Option 2)
Step-by-step explanation:
We are given the following sequence in the question:
![1, -6, 36, -216, ...](https://tex.z-dn.net/?f=1%2C%20-6%2C%2036%2C%20-216%2C%20...)
We have to find the recursive relation for the sequence.
![a_1 =1\\a_2 = -6 = -6(1) = -6(a_1)\\a_3 = 36 = -6(-6) = -6(a_2)\\a_4 = -216 = -6(36) = -6(a_3)](https://tex.z-dn.net/?f=a_1%20%3D1%5C%5Ca_2%20%3D%20-6%20%3D%20-6%281%29%20%3D%20-6%28a_1%29%5C%5Ca_3%20%3D%2036%20%3D%20-6%28-6%29%20%3D%20-6%28a_2%29%5C%5Ca_4%20%3D%20-216%20%3D%20-6%2836%29%20%3D%20-6%28a_3%29)
Thus, continuing in the following manner, we get,
![a_n = -6(a_{n-1})](https://tex.z-dn.net/?f=a_n%20%3D%20-6%28a_%7Bn-1%7D%29)
Thus, the recursive rule is given by
Option 2) ![a_n = -6(a_{n-1})](https://tex.z-dn.net/?f=a_n%20%3D%20-6%28a_%7Bn-1%7D%29)