In football a kicker can score one point for the extra point on a touchdown or three points for a field goal Logan is a kicker f
or his high school football team the record number of points scored by a kicker in a single game is 24 Logan is hoping to beat this record in his next game
Write a linear inequality to represent this situation then graph
Write a linear inequality to represent this situation then graph
2 answers:
Let the number of extra points on a touchline scored by Logan on the match be x and the number of field goals scored by Logan be y, then the ineaquality representing the situation wher Logan beats the record number of points scored by a kicker in a single match of 24 is given by:
x + 3y > 24
The graph is attached
x + 3y > 24
The graph is attached
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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%.