Given: m || n, ∠1 ≅ ∠3 Prove: p || q Horizontal parallel lines n and m are cut by transversals q and p. At the intersection of l
ines q and m, the uppercase right angle is angle 3. At the intersection of lines p and m, the uppercase right angle is angle 2. At the intersection of lines p and n, the bottom left angle is angle 1. Complete the two-column proof. ♣ = ♦ = ♠ =
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Answer:
The probability that Isaiah will make both penalty kicks is 25%.
Step-by-step explanation:
We are given that Isaiah scores with 50% of his penalty kicks in soccer.
He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 2 penalty kicks
r = number of success = make both penalty kicks
p = probability of success which in our question is probability
that Isaiah scores with his penalty kicks, i.e; p = 50%
Let X = <u><em>Number of penalty kicks made by Isaiah</em></u>
So, X ~ Binom(n = 2 , p = 0.50)
Now, Probability that Isaiah will make both penalty kicks is given by = P(X = 2)
P(X = 2) =
=
= <u>0.25 or 25%</u>
Hence, the probability that Isaiah will make both penalty kicks is 25%.