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
Answer:
x=-0.5, y=3.5
Step-by-step explanation:
The system consists of two functions equations.
Plot graph of each function (see attached diagram for details).
These graphs intersect at one common point. Its coordinates approximately are (-0.454,3.546).
This common point represents the solution of given system. The answer rounded to the nearest tenth is x=-0.5, y=3.5.
Answer:
c
Step-by-step explanation:
brainlist
Answer:
x-10
Step-by-step explanation:
you have to do what is in the parenthesis first. Do distributive property to
-(x-8)
-(x)-(-8)= -x+8
now you have 5-(3-x+8)
Do distributive property again
5-3+x-8
x-8+2
x-10
hope this helps ~D~
Answer:
x = 2 is a solution
x = 0 is an extraneous solution
(Option 2)
Step-by-step explanation:
4/x = (3x + 2)/x²
4x² = 3x² + 2x
x² - 2x = 0
x(x - 2) = 0
x = 0, x = 2
Verification:
4/x = (3x + 2)/x²
At x = 2
4/2 = [3(2) + 2]/2²
2 = 8/4
2 = 2
At x = 0
4/0 = [3(0) + 2]/0²
Is undefined