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;
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
Virtually all of the 7 million millionaires in the United States learned how to make smart decisions by doing their homework.
Answer: Option 7.
<u>Explanation:</u>
It is assumed by a lot of people that the life of the people who are very rich is very easy and that they do not have to work so hard. People think that the rich people have always had a bed of roses kind a life for them.
But that is not the reality. Rich people also have to work hard to get success in their life and for that they have to think properly and wisely before making decisions in their life. These people have to make a lot of research and do a lot of home work before making decisions and have to think a lot. It is not very easy for them also.
Principal clements needs to buy 10 packages
<em><u>Solution:</u></em>
Given that, Principal clements wants to buy a pencil for each of the 57 fourth graders in her school
The pencils come in packages of 6
Therefore,
Total number of students = 57
<em><u>Thus, divide 57 by 6 to get the number of packages clements need to buy</u></em>
<em><u></u></em>
<em><u>Substituting the given values we get,</u></em>
Thus principal clements needs to buy 10 packages
Answer: H' = (-4, 4)
<u>Step-by-step explanation:</u>
H = (-4, -4)
reflect across y = -2:
H is 2 units below y = -2 so when reflected it will be 2 units above y = -2
--> t<em>he x-coordinate doesn't change</em> the new y-coordinate is: 0
H' = (-4, 0)
reflect across y = 2:
H' is 2 units below y = 2 so when reflected it will be 2 units above y = 2
--> t<em>he x-coordinate doesn't change</em> the new y-coordinate is: 4
H'' = (-4, 4)
A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane. For example, the plane in the diagram below could be named either plane ABC or plane P .
(I hope it helps somewhat)