Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= -
= -
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0
Answer: a) 0.16, b) 0.058, and c) 0.856.
Step-by-step explanation:
Since we have given that
Number of students = 500
Number of students smoke = 179
Number of students drink alcohol = 228
Number of students eat between meals = 119
Number of students eat between meals and drink alcohol = 59
Number of students eat between meals and smoke = 72
Number of students engage in all three = 30
a) Probability that the student smokes but does not drink alcohol is given by
b) eats between meals and drink alcohol but does not smoke.
c) neither smokes nor eats between meals.
Hence, a) 0.16, b) 0.058, and c) 0.856.