The graphs below have the same shape. What is the equation of the blue
1 answer:
Answer:
Option C.
Step-by-step explanation:
The complete question in the attached figure
we know that
The equation of the function f(x) is
Is a parabola open upward
The vertex is the point (0,0)
The function g(x) have the same shape
The vertex of the function g(x) is the point (-3,1)
so
The rule of the transformation of f(x) to g(x) is
(0,0) -----> (-3,1)
(x,y) -----> (x-3,y+1)
That means----> The translation is 3 units at left and 1 unit up
therefore
The equation of the function g(x) in vertex form is equal to
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Answer:
a) h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
b) 2.92
Step-by-step explanation:
a)
Here
Number of interviewees = N = 12
Number of job openings = M = 5
Interviews schedules for the first day = n = 7
N − M = 12 - 5 = 7
Using hypergeometric distribution:
Let X be the no. top four candidates interviewed on first day.
The probability mass function of X:
P(X = x) =
/
It can be written as:
h(x; n, M, N) =
/
= (5Cx) (7C7-x) / (12C7)
= (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)
b)
The expectation is: E(X) = np
E(X) = n * M/N
= 7 * 5/12
= 7 * 0.41667
= 2.9167