Answer: It is <u>supplementary</u> to angle Angle A P C.
It is <u>vertical</u> to angle Angle C P B.
Step-by-step explanation:
i just did the assignment on ed
I hope this help :)
Answer:
$700
Step-by-step explanation:
Given:
The ratio of taxes to profits is 7:3.
The taxes and profits total $1000.
Question asked:
Amount of taxes = ?
Solution:
Let ratios = ![x](https://tex.z-dn.net/?f=x)
And amount of taxes = ![7x](https://tex.z-dn.net/?f=7x)
Then amount of profit = ![3x](https://tex.z-dn.net/?f=3x)
Sum of amount of taxes and profits = $1000.(given)
![= 7x + 3x = 1000\\= 10x = 1000\\](https://tex.z-dn.net/?f=%3D%207x%20%2B%203x%20%3D%201000%5C%5C%3D%2010x%20%3D%201000%5C%5C)
by dividing both side by 10
![x = 100](https://tex.z-dn.net/?f=x%20%3D%20100)
Thus, amount of taxes =
=
= ![700](https://tex.z-dn.net/?f=700)
Thus, amount of profits ![= 3x = 3\times100 = 300](https://tex.z-dn.net/?f=%3D%203x%20%3D%203%5Ctimes100%20%3D%20300)
Answer
180°-(49+90+x)
x=180°- 139
X=41°
Step-by-step explanation
Let X be the number of lightning strikes in a year at the top of particular mountain.
X follows Poisson distribution with mean μ = 3.8
We have to find here the probability that in randomly selected year the number of lightning strikes is 0
The Poisson probability is given by,
P(X=k) = ![\frac{e^{-mean} mean^{x}}{x!}](https://tex.z-dn.net/?f=%20%5Cfrac%7Be%5E%7B-mean%7D%20mean%5E%7Bx%7D%7D%7Bx%21%7D%20%20%20%20)
Here we have X=0, mean =3.8
Hence probability that X=0 is given by
P(X=0) = ![\frac{e^{-3.8} 3.8^{0}}{0!}](https://tex.z-dn.net/?f=%20%5Cfrac%7Be%5E%7B-3.8%7D%203.8%5E%7B0%7D%7D%7B0%21%7D%20%20%20%20)
P(X=0) = ![\frac{0.02237 * 1}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.02237%20%2A%201%7D%7B1%7D%20%20)
P(X=0) = 0.0224
The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224