Answer:
10.) y = -5x + 7
12.) y = 3/2x - 8
Step-by-step explanation: Since you have to create a new line that us parallel, the slopes will be equivalent. So the mx value will not change. Now we can plug in the coordinates to find the value of b.
10.)
2 = -5(1) + b.
2 = -5 +b
b = 7
therefore...
y = -5x + 7
12.)
2(-5) = 3(2) + b
-10 = 6 + b
b = -16
therefore...
2y = 3x - 16
simplified:
y = 3/2x - 8
Answer:
The equation of the line passing through the points (4, 6) and (0, 6) will be:
The graph of the equation y = 6 is also attached.
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the points
Finding the slope between (4, 6)and (0, 6).
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [6 - 6] / [0 - 4]
= 0 / -4
= 0
Thus, the slope of the line = m = 0
The slope m = 0 means the line is horizontal. Because the slope of the horizontal line is 0.
As the y-values are not changing with respect to the x-values.
Therefore,
The equation of the line passing through the points (4, 6) and (0, 6) will be:
The graph of the equation y = 6 is also attached.
Answer:
Mean = 3
Variance = 2
Step-by-step explanation:
Since number of eggs he eats is equally likely to any 5 numbers, probability of each one will be (1/5) = 0.2
The probability mass function will therefore be
x 1 2 3 4 5
p 0.2 0.2 0.2 0.2 0.2
The mean is given as the expected value
And expected value is given as
E(X) = Σ xᵢpᵢ
where x = each possible sample space
p = probability of the sample space occurring.
E(X) = (1×0.2) + (2×0.2) + (3×0.2) + (4×0.2) + (5×0.2) = 3 eggs.
b) Variance is given by
Variance = Var(X) = Σx²p − μ²
where μ = E(X)
Σx²p = (1² × 0.2) + (2² × 0.2) + (3² × 0.2) + (4² × 0.2) + (5² × 0.2) = 0.2 + 0.8 + 1.8 + 3.2 + 5 = 11
Var(X) = Σx²p − μ² = 11 - 3² = 11 - 9 = 2
