Sin (x/4) = 1/2
x/4 = sin⁻¹ 1/2
x/4 = 45
x = 45*4
x = 180
So, your final answer is 180
Hope this helps!
In term we have to +1 and in number there’s a pattern = 1,2,3, 1,2,3, 1,2,3, 1,2,3....and so on
Hope it helps u understand ask if u have any doubts
Answer:
- 3 \frac{4}{5} + 1 \frac{2}{5}
= -frac{19}{5} +frac{7}{5}
= frac{-19+7}{5}
= frac{-12}{5}
= -2frac{2}{5}
5 \frac{3}{5} - 7
= -2+\frac{3}{5}
= frac{-10+3}{5}
= frac{-7}{5}
= -1\frac{2}{5}
Step-by-step explanation:
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:
Angle k is 34.5 degrees
Step-by-step explanation:
a circle makes 360 degrees total. okay so u have to consider the angles given. m arc go= 127
m<0 = 54.5
54.5 times 2 = 109
109 is arc gk
109 + 127+ 55= 291
360-291=69= arc OU
69 divided by 2 is 34.5
Angle k is 34.5 degrees