Answer:
√2/2
Step-by-step explanation:
If sinP = √2/2,
Rationalize;
√2/2
= √2/2,*√2/√2
√4/2√2
= 2/2√2
= 1/√2
Hence sinP = 1/√2
Take sin inverse of both sies
arcsinP = arcsin1/√2
P = 45 degrees
cos P = Cos 45
= 1/√2
= 1/√2 * √2/√2
= √2/2
Hence the value of cosP is √2/2
Answer: 0.03567
Step-by-step explanation:
The probability mass function for Poisson distribution:-
, where
= mean of the distribution.
Given : The number of cars that pass through a busy intersection has a Poisson distribution with rate λ=200 cars per hour.
Since 1 hour = 60 minutes.
then , The number of cars that pass through a busy intersection in minute = ![\mu=\dfrac{200}{60}=\dfrac{10}{3}](https://tex.z-dn.net/?f=%5Cmu%3D%5Cdfrac%7B200%7D%7B60%7D%3D%5Cdfrac%7B10%7D%7B3%7D)
Let x be the number of cars pass in one minute.
Then, the probability that no cars pass in a one minute time interval will be :
![P(X=0)=\dfrac{e^{-\frac{10}{3}}(\dfrac{10}{3})^0}{0!}](https://tex.z-dn.net/?f=P%28X%3D0%29%3D%5Cdfrac%7Be%5E%7B-%5Cfrac%7B10%7D%7B3%7D%7D%28%5Cdfrac%7B10%7D%7B3%7D%29%5E0%7D%7B0%21%7D)
![=\dfrac{e^{-\frac{10}{3}}(1)}{(1)}=0.0356739933473\approx0.03567](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Be%5E%7B-%5Cfrac%7B10%7D%7B3%7D%7D%281%29%7D%7B%281%29%7D%3D0.0356739933473%5Capprox0.03567)
Hence, the probability that no cars pass in a one minute time interval is about 0.03567.
Answer:
Multiplication - So, if you are looking to multiply rational numbers, the first tip to do it successfully is multiplying ... Equations and Equivalence Step-by-step Lesson- Find the equivalent fractions and complete an equation.
Step-by-step explanation:
hope it hlp