Answer:
vertex = (- 1, - 4 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = -
y = x² + 2x - 3 ← is in standard form
with a = 1, b = 2 , then
x = - = - 1
Substitute x = - 1 into the equation for corresponding value of y
y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4
vertex = (- 1, - 4 )
Answer: C) 0.112
Step-by-step explanation:
In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-
Given : The probability of drawing a heart from a standard deck of cards is 0.25
Here , getting heart is the success.
Then p= 0.25
For n= 20
The probability that you will draw a heart seven times i.e. x= 7:
Hence, the probability that you will draw a heart seven times = 0.112
Thus , the correct answer is C) 0.112 .
