Answer:
Quadratic Equation:


From the standard form of a Quadratic Function, we get:

Discriminant:



From the discriminant, we conclude that the equation will have two real solutions.
State that:



By the way, solving the equation given:





Answer:
B
Step-by-step explanation:
Find all probabilities:
A. False

B. True

C. False

D. False

Answer: 0.4127
Step-by-step explanation:
The probability formula to find p(F/E):
p(F/E)= N(E n F) / N(E)
p(F/E)= 260 / 630
p(F/E) = 0.4127
Answer:
A) 1/3200000
B) 19/20
Step-by-step explanation:
Percentage population of graduates = 5
Proportion of graduates from 100 random samples = percentage × number of samples
Proportion of graduates = 0.05 × 100 = 5
Probability of having 5 graduates among the 100 random samples:
P(1 graduate) = possible outcome / total required outcome
P(1 graduate) = (5 / 100) = 1/20
P(5 graduates) = (1/20)^5
P(5 graduates) = 1/3200000
Probability of never being a graduate = (1 - probability of being a graduate)
Probability of never being a graduate = ( 1 - (1/20)) = 19/20
For slope m and point (x₁, y₁), the point-slope equation of the line can be written as
y -y₁ = m(x -x₁)
You have m = -4 and (x₁, y₁) = (4, -9), so the equation of your line is
D. y+9 = -4(x-4)