Answer:
It's the second option -> y = 1/2x -1
Answer:
f(x) = (x - 4)² - 4
Step-by-step explanation:
∵ The general form of the Parabolic function is :
f(x) = (x - h) + k ⇒ where point (h , k) is the turning point
∵ The turning point is (4 , -4)
∴ f(x) = (x - 4)² + -4 = (x - 4)² - 4
To check the answer:
Use the point (6 , 0) ⇒ 0 = (6 - 4)² - 4 ⇒ 0 = 4 - 4
∴ f(x) = (x - 4)² - 4
Answer:
(x+6)=3
Step-by-step explanation:
-3
Answer:
Step-by-step explanation:
We would apply the formula for binomial distribution which is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 18% = 18/100 = 0.18
q = 1 - p = 1 - 0.18
q = 0.82
n = 5
Therefore,
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x = 0) = 5C0 × 0.18^0 × 0.82^(5 - 0)
P(x = 0) = 0.37
P(x = 1) = 5C1 × 0.18^1 × 0.82^(5 - 1)
P(x = 1) = 0.41
P(x = 2) = 5C2 × 0.18^2 × 0.82^(5 - 2)
P(x = 2) = 0.18
Therefore,
P(x ≤ 2) = 0.37 + 0.41 + 0.18 = 0.96