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)
7x - 3x = 24
The 7x and the 3x are both like terms, so they can be combined. 7 - 3 is 4, so the equation turns into
4x = 24
Now, you want to get the x alone, so you divide both sides by 4 because it is the opposite of multiplication. 24 divided by 4 is 6, so
x = 6
Answer:
h=0.344
Step-by-step explanation:
4.52-5h=2.8
Subtract 4.52 from both sides
-5h=-1.72
Divide -5 from both sides
h=0.344
1.<span>Write down the fractions.
2.</span><span>Find a common denominator.
3.</span><span>Multiply both numbers on the first fraction by the bottom number of the second fraction.</span><span>
4.</span>Multiply both numbers on the second fraction by the bottom number of the first fraction.
5.Line both fractions up side by side with their new numbers.<span>
6.</span>Add together the numerators of the two fractions.<span>
7.</span><span>Take the common denominator that you figured out in Step 2 and add it on the bottom of your new numerator.
8.</span>Put the new numerator on top and the new denominator on bottom.
9.<span>Simplify and reduce.</span>
Answer:
There are 30 apples left!
Step-by-step explanation:
81-
51
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30
