Answer:
Step-by-step explanation:
<u>slope-intercept </u><u>form</u>
y= mx +c, where m is the slope and c is the y-intercept
Given line: y= 2x +2
slope= 2
The product of the slopes of perpendicular lines is -1. Let the slope of the unknown line be m.
m(2)= -1
m= -1 ÷2
m= -½
Substitute the value of m into the equation:
y= -½x +c
To find the value of c, substitute a pair of coordinates.
When x= 4, y= 3,
3= -½(4) +c
3= -2 +c
c= 3 +2
c= 5
Thus, the equation of the line is y= -½x +5.
Answer:
x = 3 renders the same output for both functions
Step-by-step explanation:
From the graph, we see that at the point x = 3 both lines intersect. This means that their y value coincide for that value of x.
We check using the functions' expressions to verify that our answer is correct. Then we evaluate both functions separately at x = 3:
So we conclude that effectively, the input x=3 produces equal output value (-1) for the two given functions.
Answer:
Therefore the correct answer is A.) 84.88%
Step-by-step explanation:
i) λ = 2
ii) λ for three units = 2 3 = 6
iii) P(x ≥ 4) = 1 - P(x < 4) = 1 - {P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) }
= 1 - { }
= 1 - (0.0025 + 0.0149 + 0.0446 + 0.0892)
= 0.8488
Therefore the correct answer is A.) 84.88%