The distance from P to Q is four times the distance from Q to R. The distance from p to r is 120 metres. What is the distance fr
2 answers:
Let distance from Q to R equal x. Then distance from P to Q is 4x. So we have something like this:
P-------------Q-----R
4x x
Distance all the way from P to R is 4x + x = 5x, and this must be equal to 120. So set up the equation:
Divide both sides by 5 to isolate x:
This is the length of QR.
Check to be sure:
P-------------Q-----R
4(24) + 24
96 + 24 = 120
Works!
P-------------Q-----R
4x x
Distance all the way from P to R is 4x + x = 5x, and this must be equal to 120. So set up the equation:
Divide both sides by 5 to isolate x:
This is the length of QR.
Check to be sure:
P-------------Q-----R
4(24) + 24
96 + 24 = 120
Works!
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Answer:
0.1505 = 15.05% probability that the hockey team wins 6 games in November
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. 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.
The probability that a certain hockey team will win any given game is 0.3723
So
12 games in November
So
What is the probability that the hockey team wins 6 games in November?
This is
0.1505 = 15.05% probability that the hockey team wins 6 games in November