Answer:
x=6
Step-by-step explanation:
3(3x-8)=4x+6
First you would distribute the 3 on the L side to the parenthasies
9x-24=4x+6
Then, you would subtract 4x from both sides because it is the smallest X value
5x-24=6
Add 24 to both sides (inverse operations)
5x=30
divide both sides by 5
x=6
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
The you are asking for is is 239
Area of rhombus = length x height = 6 x 4 = 24 units²
Answer: 24 units²
