Answer:
The mean number favoring the substation is 12 citizens.
Step-by-step explanation:
For each citizen surveyed, there are only two possible outcomes. EIther they favored building a police substation in their neighborhood, or they opposed. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, with p probability, and X can only have two outcomes.
Has an expected value of:
In this problem, we have that:
E(X) = 15*0.8 = 12.
The mean number favoring the substation is 12 citizens.
Given:
The system of equations is
To find:
The true statement about the given system of equations.
Solution:
The slope intercept form of a line is
Where, m is the slope and b is the y-intercept.
We have,
On comparing these two lines with slope intercept form, we get
Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.
Therefore, the correct option is A.
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is , then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
which comes from the quadratic formula, but without the square root sign. Filling in:
which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
Answer:
22 tickets
Step-by-step explanation:
I assume you're asking about question 2
To find a fraction of a whole number you divide by the bottom number and multiply by the top number. If 2/3 are kids tickets then 1/3 are adult tickets so you divide by 3 and multiply by 1