Parallel line angles (transformation) prove it
1 answer:
Transversal line :
A transversal line is one that crosses two or more lines at different points.
Transversal Properties :
- Each pair of corresponding angles when a transversal cuts two parallel lines are equal in size.
- Each pair of alternate interior angles created by a transversal when two parallel lines are cut are equal.
- If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary, i.e. they add up to 180 degrees
Each pair of corresponding angles when a transversal intersects two parallel lines is equal. Thus,
∠1 = ∠6
∠4 = ∠8
∠2 = ∠5
∠3 = ∠7
Each alternate interior angle pair is equal if a transversal intersects two parallel lines.
∠4 = ∠5
∠3 = ∠6
Hence, proved..
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Answer:
The probability that exactly 19 of them are strikes is 0.1504
Step-by-step explanation:
The binomial probability parameters given are;
The probability that the pitcher throwing a strike, p = 0.675
The probability that the pitcher throwing a ball. q = 0.325
The binomial probability is given as follows;
Where:
x = Required probability
Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;
The probability that exactly 19 of them are strikes is given as follows;
Hence the probability that exactly 19 of them are strikes = 0.1504