The property used to rewrite the given expression is product property.
Answer: Option A
<u>Step-by-step explanation:</u>
Given equation:
The sum of the two logarithms of two quantities (on the same basis) corresponds to the logarithm of their product on the same basis. The product log is equal to the log’s sum of the factors.
There are several rules that you can use to solve logarithmic equations. One of these guidelines is the logarithmic products rule that you can use to differentiate complex protocols in different ways. Different values that can be valuable are the quota principle and the logarithm rule. The logarithmic products rule is essential and is regularly used in analysis to control logs and simplify baseline conditions.
Answer:
The total number of marbles in the bag is 50.
Step-by-step explanation:
Here, we have n trials, without replacement. So the hypergeometric distribution is used.
The mean of the hypergeometric distribution is:
In which n is the number of items in the sample, k is the number of items in the population that are classified a success and N is the size of the population.
15 marbles are drawn:
This means that 
A bag contains some number of marbles. It is known that 20 of them are red.
This means that 
, since a success is drawing a red marble.
Assuming E(X)=6 red, what is the total number of marbles in the bag?
We have to find N when 
So
The total number of marbles in the bag is 50.
Answer:
Step-by-step explanation:
Replace tan^2(x) with sin^2 (x ) / cos^2(x)
2 sec(x) sin^3(x) = cos(x) * sin^2(x) / cos^2(x) Cancel cos(x) with cos^2(x)
2 sec(x) sin^3(x) = sin^2(x) / cos(x) Multiply by cos(x) both sides
2 sec(x)*cos(x)*sin^3(x) = sin^2(x) Divide sin^2(x) both sides
Note sec(x) and cos(x) will cancel when multiplied. giving you one
2 sin^3(x) / sin^2(x) = sin^2(x) / sin^2(x) Do the division
2 sin(x) = 1 Divide by 2
sin(x) = 1/2
x = sin-1(1/2)
x = 30 degrees or 150 degrees.
So the answers are pi/6 and 5/6 pi
