Answer:
The statement is false.
Step-by-step explanation:
To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.
Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.
The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.
You can seperate the prisms then use the formula l*w*h which for the one on top u get V=20 and for the other one is 48 so 20+48= 68 so the volume of the prism is
(☞゚ヮ゚)☞ 68 ☜(゚ヮ゚☜)
You have to get rid of 1/2 by multiplying it by its recriprocal which is like this:
1) 1/2 x 2/1 which equals to zero and you do the same to the other side.
2) -12 x 2/1 = -24x then multiply-24x with 7 which equals -168.
16-x= -24x -168
3) subtract 16 to the other side and subtract 24x with x
23x= -184
4) divide by 23 to isolate x and you get -8
5) x=-8
Answer:
0.9606 = 96.06% probability that the system will function tomorrow
Step-by-step explanation:
For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that 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.
Probability of a component working:
0.7 of 0.2(rain)
0.9 of 1 - 0.2 = 0.8(no rain). So

0.86 - 86% probability that the system will function tomorrow
6 components:
This means that 
What is the probability that the system will function tomorrow
This is

In which





0.9606 = 96.06% probability that the system will function tomorrow
His mean score for the first 4 games will be 18 points.
Explanation
In the first 3 games, the mean of the scores is 15 points . Mean is the simple average of some numbers.
So, the total score in first 3 games =
points
Now, in the 4th game, he scored 27 points. So, the total score in the first 4 games =
points
Thus, the average of scores in first 4 games =
points
So, his mean score for the first 4 games will be 18 points.