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
To solve this, we use the formula for the volume of the frustum of a cone which is expressed as:
<span>V= (H/6)[WL + (W+a)(L+b) + ab]
</span>V = 3/6 [(6 ft. × 8 ft.) + (6 + 14)(18 + 8) + (<span>14 ft. × 18 ft.)]
</span>V = 409.98 ft^3 <-----OPTION C
Now:
kimberly = k
jordan = k - 102
2 years ago
kimberly = k - 2
jordan = k - 104
k - 2 = 4(k - 104)
k - 2 = 4k - 416
-3k = -414
k = 138
kimberly is 138
jordan is 138 - 102 = 36
k - 102 = 36
Volume = Length x Length x Length
Volume :
(x + 2) (x + 2) (x + 2)
= (x² + 4x + 4)(x + 2)
= x³ + 2x² + 4x² + 8x + 4x + 8
= x³ + 6x² + 12x + 8
Answer: x³ + 6x² + 12x + 8
Answer:
18.15
Step-by-step explanation:
55% = 55/100
33 = 33/1
33/1 x 55/100
33 x 55 = 1815
1 x 100 = 100
1815/100 = 18.15