Twelve hours later then we went to sleep and then woke me back at my house after my birthday and I got invited
Answer:
1/3
Step-by-step explanation:
(1/3)^2x(1/3)^-1
so, we can write this as:
1/3 x 1/3 x 3/1
if calculated by cutting, the answer is 1/3
There is also an easier way to do this,
(1/3)^2 x (1/3)^-1
as the bases are same, the powers will be added.
2+(-1)
2-1
=1
so,
(1/3)^1 or 1/3
Divide 3 by 3/4 and you will get your answer. you can also multiply 3×4/3. it's the same thing
For any distribution, the sum of the probabilities of all possible outcomes must be 1. In this case, we have to have

We're told that
, and we're given other probabilities, so we have

The expected number of calls would be
![E[X]=\displaystyle\sum_xx\,P(X=x)](https://tex.z-dn.net/?f=E%5BX%5D%3D%5Cdisplaystyle%5Csum_xx%5C%2CP%28X%3Dx%29)
![E[X]=0\,P(X=0)+1\,P(X=1)+\cdots+4\,P(X=4)](https://tex.z-dn.net/?f=E%5BX%5D%3D0%5C%2CP%28X%3D0%29%2B1%5C%2CP%28X%3D1%29%2B%5Ccdots%2B4%5C%2CP%28X%3D4%29)
![E[X]=1.4](https://tex.z-dn.net/?f=E%5BX%5D%3D1.4)
Answer:
x-intercept:
A line that crosses the graph at x-axis.
i.e substitute y = 0 and solve for x.
As per the statement:
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water
Given the graph:

Substitute y = 0 we have;

⇒
⇒
⇒
⇒
⇒
By zero product property we have;
x-20 =0 and x+10 = 0
⇒x = 20 and x = -10
Therefore, the x-intercept represents the water has no larvae at −10 degrees Celsius and 20 degrees Celsius.