Answer: 8.25cm
Step-by-step explanation:
Use Pythagorean's Theorem for a right triangle:
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
'A' and 'B' being the legs and 'C' being the hypotenuse.
![16^2+b^2=18^2\\256+b^2=324\\b^2=68\\b=\sqrt{68}=8.25cm](https://tex.z-dn.net/?f=16%5E2%2Bb%5E2%3D18%5E2%5C%5C256%2Bb%5E2%3D324%5C%5Cb%5E2%3D68%5C%5Cb%3D%5Csqrt%7B68%7D%3D8.25cm)
Answer:
The probability that a randomly selected call time will be less than 30 seconds is 0.7443.
Step-by-step explanation:
We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.
Let X = caller times at a customer service center
The probability distribution (pdf) of the exponential distribution is given by;
![f(x) = \lambda e^{-\lambda x} ; x > 0](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Clambda%20e%5E%7B-%5Clambda%20x%7D%20%3B%20x%20%3E%200)
Here,
= exponential parameter
Now, the mean of the exponential distribution is given by;
Mean =
So,
⇒
SO, X ~ Exp(
)
To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;
; x > 0
Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)
P(X < 30) =
= 1 - 0.2557
= 0.7443
4/6 per hour or 2/3 per hour
Answer:
LM
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
HK is double of HW, so: ![42=2(x^2+5)](https://tex.z-dn.net/?f=42%3D2%28x%5E2%2B5%29)
Then solve. Divide both sides by 2.
21=x²+5
16=x²
4=x
I hope this helps and good luck on the rest of your HW