Answer:
(a) 0.28347
(b) 0.36909
(c) 0.0039
(d) 0.9806
Step-by-step explanation:
Given information:
n=12
p = 20% = 0.2
q = 1-p = 1-0.2 = 0.8
Binomial formula:

(a) Exactly two will be drunken drivers.



Therefore, the probability that exactly two will be drunken drivers is 0.28347.
(b)Three or four will be drunken drivers.


Using binomial we get



Therefore, the probability that three or four will be drunken drivers is 0.3691.
(c)
At least 7 will be drunken drivers.

![P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5BP%28x%3D0%29%2BP%28x%3D1%29%2BP%28x%3D2%29%2BP%28x%3D3%29%2BP%28x%3D4%29%2BP%28x%3D5%29%2BP%28x%3D6%29%5D)
![P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5B0.06872%2B0.20616%2B0.28347%2B0.23622%2B0.13288%2B0.05315%2B0.0155%5D)
![P(x\leq 7)=1-[0.9961]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5B0.9961%5D)

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.
(d) At most 5 will be drunken drivers.



Therefore, the probability of at most 5 will be drunken drivers is 0.9806.
Answer:

Step-by-step explanation:
hopethe answer helped you :)
Answer:
s + 16 ≤ −80
Step-by-step explanation:
Analyze each part in the word equation:
"16 more than s" s increased by 16; s + 16
"is at most" is equal to or less than; ≤
"−80" -80
Put the equation back together:
s + 16 ≤ −80
Answer:
The formula is a^2 + b^2 = c^2
Step-by-step explanation:
A and B are legs and C is the hypothunisis.
The theorem is used for triangles.
4^2 + 5^2 = c^2
16 + 25 = c^2
41 = c^2
sqr(41) = sqr(c)^2
c = 6.403124237
Replace the x with 9, and the y with 1.
(x · y²)/-5 becomes (9 · 1²)/-5
1² is just 1, so you're doing 9 × 1 (which is = 9) over -5.
Therefore, your final answer is -9/5.