Answer:

Step-by-step explanation:
The given binomial expression is:

When we compare to:

We have


The nth term is given by;

To find the 3rd term, we put:

We substitute into the formula to get:

We simply:


Z^4 / z^-3 = z^7 - when you divide numbers written in exponential form, you keep the base and subtract the exponents. z^4 divided by z^-3 = z^ (4- (-3)) = z^7.
Answer:
A) 10-14
B) 45
C) 6.7%
Step-by-step explanation:
A) The interval that contain the most values can be gotten by looking at the histogram and selecting the interval with the highest frequency. Hence the interval 10-14 contains the most values because it has a frequency of 20.
B)The total number of swimmers is gotten by summing all the frequency of each individual lap. Hence:
Total swimmers on team = 10 + 12 + 20 + 0 + 3 = 45 swimmers
C) The percentage of swimmers who swam more than 14 laps = (number of swimmers that swam more than 14 laps/total swimmers) * 100%
The percentage of swimmers who swam more than 14 laps = [(0 + 3)/45] * 100% = (3/45) * 100% = 6.7%
It already is in distributive property