<u>Answer:
</u>
The probability of rolling a number greater than 4 or less than 3 is ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
<u>Solution:
</u>
In the given question there are two events as follows:
(a) Rolling a number greater than 4 i.e. A = {5,6}
(b) Rolling a number less than 3 i.e. B = {1,2}
Since a die has 6 numbers,
P(A) =
where P(A) is the probability of occurrence of event A and P(B) = ![\frac{2}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B6%7D)
Since, Event A and Event B has nothing in common therefore they are mutually exclusive events.
P(A∪B) = P(A) + P(B)
![=\frac{2}{6}+\frac{2}{6}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B6%7D%2B%5Cfrac%7B2%7D%7B6%7D)
![=\frac{4}{6}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B4%7D%7B6%7D)
![=\frac{2}{3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B3%7D)
Therefore the probability of getting a number greater than 4 or less than 3 is ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Answer:
It takes Michael 1 hour, 14 minutes and 7 seconds to seal the driveway close
Step-by-step explanation:
Hi
Leon do the work in 17 hours that means the rate of his work is
, so he do
of the work in two hours, therefore Michael do the other
of the work, thus Michael rate will be
.
So it takes Michael
to complete the work, or ![\frac{4h}{17} \times \frac{60min}{1hour} =14\frac{2}{17} min\\\\\frac{2}{17} min \times \frac{60 secs}{1min}=7secs](https://tex.z-dn.net/?f=%5Cfrac%7B4h%7D%7B17%7D%20%5Ctimes%20%5Cfrac%7B60min%7D%7B1hour%7D%20%3D14%5Cfrac%7B2%7D%7B17%7D%20min%5C%5C%5C%5C%5Cfrac%7B2%7D%7B17%7D%20min%20%5Ctimes%20%5Cfrac%7B60%20secs%7D%7B1min%7D%3D7secs)
![1h \ 14 min \ 7secs](https://tex.z-dn.net/?f=1h%20%5C%2014%20min%20%5C%207secs)
Answer:
it equals 38 because eit makes alot of sense and I e it with
Answer:converge at ![I=\frac{1}{3}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
Given
Improper Integral I is given as
![I=\int^{\infty}_{3}\frac{1}{x^2}dx](https://tex.z-dn.net/?f=I%3D%5Cint%5E%7B%5Cinfty%7D_%7B3%7D%5Cfrac%7B1%7D%7Bx%5E2%7Ddx)
integration of
is -![\frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D)
![I=\left [ -\frac{1}{x}\right ]^{\infty}_3](https://tex.z-dn.net/?f=I%3D%5Cleft%20%5B%20-%5Cfrac%7B1%7D%7Bx%7D%5Cright%20%5D%5E%7B%5Cinfty%7D_3)
substituting value
![I=-\left [ \frac{1}{\infty }-\frac{1}{3}\right ]](https://tex.z-dn.net/?f=I%3D-%5Cleft%20%5B%20%5Cfrac%7B1%7D%7B%5Cinfty%20%7D-%5Cfrac%7B1%7D%7B3%7D%5Cright%20%5D)
![I=-\left [ 0-\frac{1}{3}\right ]](https://tex.z-dn.net/?f=I%3D-%5Cleft%20%5B%200-%5Cfrac%7B1%7D%7B3%7D%5Cright%20%5D)
![I=\frac{1}{3}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B1%7D%7B3%7D)
so the value of integral converges at ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)