In the drawing below , PQ is parallel to ST. Triangle is similar to triangle TSR.
1 answer:
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Answer:
0.3164 = 31.64% probability the team wins all its conference games
Step-by-step explanation:
For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that the binomial probability distribution is used 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.
A football team has a probability of .75 of winning when playing any of the other four teams in its conference.
The probability means that , and four games means that
If the games are independent, what is the probability the team wins all its conference games?
This is P(X = 4). So
0.3164 = 31.64% probability the team wins all its conference games
Similar triangles may or may not be congruent
- The height of the peak is 72 feet
- The triangles are similar by AA similarity postulate
First, we determine the height of the peak using the following equivalent ratios
P B : B M = T F : F M
So, we have:
Express the units in inches
Express as fractions
Multiply both sides by 240
Express as feet
So, the height of the peak is 72 feet
The ratio also means that the triangles are similar by AA similarity postulate
Read more about similar triangles at: