Answer:
Option D.
Step-by-step explanation:
The given system of equations is
...(1)
...(2)
On simplifying the second equation, we get
On dividing by -1, we get
...(3)
It is clear that equation (1) and (3) are same equations. It means equation (1) and (2) represent the equivalent equation.
So, the given system of equations has infinitely many solutions.
Therefore, the correct option is D.
Answer:
The probability that more than 35 were made is 0.14686.
Step-by-step explanation:
We are given that a professional basketball team made 37.9% of its three-point field goals in one season.
80 three-point field goal attempts are randomly selected from the season.
Let = <em>sample proportion of three-point field goals made in one season.</em>
The z-score probability distribution for the sample proportion is given by;
Z = ~ N(0,1)
where, p = population proprotion of three-point field goals = 37.9% = 0.379
n = sample of three-point field goal attempts = 80
= sample proportion of three-point field goals =
= 0.4375
Now, if 80 three-point field goal attempts are randomly selected from the season, the probability that more than 35 were made is given by = P( > 0.4375)
P( > 0.4375) = P(
>
) = P(Z > 1.05) = 1 - P(Z
1.05)
= 1 - 0.85314 = <u>0.14686</u>
The above probability is calculated by looking at the value of x = 1.05 in the z table which has an area of 0.85314.