Answer:
n=42, m=42
Step-by-step explanation:
The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 ·
, which is the same as 42√3.
Answer:
0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
62% of the voters are Democrats
This means that 
(a) What is the probability that two independently surveyed voters would both be Democrats?
This is P(X = 2) when n = 2. So


0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
It's exactly 4 meters because the question is asking how far below is it from the surface of the water.
Answer:
10/15 + 12/15
Step-by-step explanation:
The LCD would be 15 and whatever you do to the top you do to the bottom