The outcomes on rolling a 5-sided die are : {1,2,3,4,5,6}
The factors of these outcomes are:
1 = 1 x 1
2 = 1 x 2
3 = 1 x 3
4 = 2 x 2
5 = 1 x 5
6 = 2 x 3
1 is not a prime number. So the numbers which have 2 prime factors are 4 and 6.
Thus, number of favorable outcomes = 2
The probability of rolling a number with exactly 2 prime factors = 2/6 = 1/3
Answer: OPTION A
Step-by-step explanation:
It is important to remember the "Angle Addition Postulate" in order to solve this exercise.
You have this larger angle:

According to the "Angle Addition Postulate", if the point "C" is in the interior of
, then the measure of this angle can be obtained by adding the angle
and the angle
.
You can observe in the figure that:
Then you get that:

Therefore, the correct answer is Option A.
Answer How many liters of a 20% acid solution should be mixed with 30 liters of 50% acid solution in order to obtain a 40% solution. ... x=15 liters 15*(.20 pure acid)=3 liters 30*(.50 pure acid)=15 liters That is 18 liters pure acid That is 45 liters solution *0.45 pure acid=18 liters.
As more pure acid is added, the concentration of acid approaches 0.