Answer:
y=4/5x+1
Step-by-step explanation:
y=mx+b
- m is the slope
- b is the y-intercept
m= 4/5
b= 1 (0,1) y-value
Equation:
y=4/5x+1
Answer:
False.
Event A and event B are not independent.
Step-by-step explanation:
We know that event A and event B are
A= {2,4} and B= {2,4,5}.
If the following condition satisfies then event A and event B are independent:
P( A and B)= P(A)*P(B).
Now A and B=?
A and B=A∩B= {2,4} ∩ {2,4,5}
A and B=A∩B={2,4}
The single fair die results in 6 outcomes so, the sample space will contain 6 elements.
Thus,
P(A∩B)=2/6=1/3
P(A)=2/6=1/3
P(B)=3/6=1/2
P(A)*P(B)=1/3*1/2=1/6
As,
P(A∩B)≠P(A)*P(B)
1/3≠1/6
Thus, events A and event B are dependent.
Y = f (x) = 19 / x^3 and g (y) = x
<span>g is inverse of f </span>
<span>x^3 = 19 / y </span>
<span>x = [ 19 / y ]^(1/3) </span>
<span>g (y) = [ 19 / y ]^(1/3) </span>
<span>g (x) = [ 19 / x ]^(1/3)________inverse function.</span>
Answer:
Step-by-step explanation:
Given that there are two machines available for cutting corks intended for use in wine bottles.
X1 = diameter of I machine and X2 = diameter of II machine
X1 is N(3.04, 0.02) and X2 is N(2.9, 3.1)
Acceptable is mean =3 and std dev = 0.1
a) 
b) 
Both are certain events.
Line A is parallel to line B if line A and B have the same slope and have the same or different y-intercept.
Convert the standard form equation to slope-intercept form as it will be easier to see the slope.
Solve for y.
4x + 2y = 0
2y = -4x <-- Subtract 4x from each side
y = -2x <-- Divide both sides by 2
In the slope-intercept form y = -2x, a y-intercept of 0 is implied
Now find a slope-intercept form equation that has the same slope as y = -2x
So, the answer is C y = -2x + 3.
