Answer: When you combine like terms in a algebraic expression, you do not add the exponents! When you combine like terms in an equation, such as a^2 and 4a^2, you only combine the numbers, not the exponents. The exponent attached to the number stays the same. a^2 and 4a^2 would be 5a^2.

Multiplication by 10ⁿ → move decimal n places to the right.
Multiplication by 10⁻ⁿ → move decimal n places to the left.
For n ∈ N
Given:
The figure of a right triangle.
and perpendicular = 12.
To find:
The measure of angle y.
Solution:
In a right angle triangle,

In the given right angle triangle,




Therefore, the measure of angle y is
.
Answer:
See both answers in the explanation
Step-by-step explanation:
Given data
Cost of dinner= $32
TIp=18%
Let us find the amount of the tip
=18/100*32
=0.18*32
=$5.76
Hence the total amount paid is
=5.76+32
=$37.76
The Tip is
=$5.76
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)