Answer + Step-by-step explanation:
1) The probability of getting 2 white balls is equal to:
2) the probability of getting 2 white balls is equal to:
3) The probability of getting at least 72 white balls is:
![=\sum^{150}_{k=72} [C^{k}_{150}\times \left( \frac{8}{15} \right)^{k} \times \left( \frac{7}{15} \right)^{150-k}]](https://tex.z-dn.net/?f=%3D%5Csum%5E%7B150%7D_%7Bk%3D72%7D%20%5BC%5E%7Bk%7D_%7B150%7D%5Ctimes%20%20%5Cleft%28%20%5Cfrac%7B8%7D%7B15%7D%20%5Cright%29%5E%7Bk%7D%20%20%5Ctimes%20%5Cleft%28%20%5Cfrac%7B7%7D%7B15%7D%20%5Cright%29%5E%7B150-k%7D%5D)
Answer:
6(√2 - 5√3).
Step-by-step explanation:
3√2 ( 2 - 5 √6)
= 6√2 - 15√12
= 6√2 - 15√4√3
= 6√2 - 30√3
= 6(√2 - 5√3)
Answer:
43.75feet
Step-by-step explanation:
Given the height of the tennis ball expressed as;
h(t) = -15t^2 + 45t + 10
At maximum height, the velocity of the ball is zero
v = dh/dt
dh/dt = -30t + 45
Since dh/dt = 0, hence;
0 = -30t + 45
30t = 45
t = 45/30
t = 3/2
t = 1.5secs
Substitute t = 1.5 into the expression given
h(1.5) = -15(1.5)^2 + 45(1.5) + 10
h(1.5) = -15(2.25)+67.5+10
h(1.5) = -33.75+77.5
h(1.5) = 43.75feet
Hence the maximum height of the ball is 43.75feet
<h3><u>Given</u><u> </u><u>points</u><u>:</u><u>-</u></h3>
We know that
Answer:
a) - 11x - 94y / 12 b) x -4 / 5- 3x c) 12x - 11 /10y
Step-by-step explanation:
a) 2x - 6y / 4 - 4y - x/ 12 - 4x - 20y /3
6x - 18y / 12 - 4y - x / 12 - 16x - 80y / 12
= 5x - 14y / 12 - 16x - 80y / 12
- 11x - 94y / 12
b) x /5 - 4/ 3x = x -4 / 5- 3x
c) 2x -3/ 5y - 5- 2x / 10y + x/y
4x - 6 /10y - 5-2x/ 10y + 10x / 10y
2x - 11 / 10 + 10x / 10y
= 12x - 11 /10y
