Answer:
y - Q = -5/2(x - P)
Step-by-step explanation:
The equation of a line in point slope form is expressed as y - y0 = m(x-x0)
(x0, y0) is the point
m is the slope
Given the equation
y = 2/5x− 4.
Slope m = 2/5
Slope of the perpendicular line = -1/(2/5) = -5/2
Point;
x0 = P
y0 = Q
Substitute into the formula;
y - y0 = m(x-x0)
y - Q = -5/2(x - P)
This gives the required equation
Answer: b. false
Step-by-step explanation:
Answer:
y = 4x+3x^2
Step-by-step explanation:
For an equation to be linear, x must have a power of 1
y = 4x+3x^2 has a power of x that is not x ( x^2) so this is not linear ( it is quadratic)
Answer:
Mean = 8
Variance = 7.36
Standard Deviation = 2.7129
Step-by-step explanation:
This is a binomial distribution with parameters, n and p.
Where
n is sample size (given as 100)
p is the probability of success, or probability of defective (given as 8% or 0.08)
The mean, variance, standard deviation formula for binomial distribution is shown below:
Mean = 
Variance = 
Standard Deviation = 
Where q would be probability of failure, or "1 - p"
Thus,
n = 100
p = 0.08
q = 1 - 0.08 = 0.92
SO, we have:
Mean = 
Variance = 
Standard Deviation = 
Answer:
43 hours
Step-by-step explanation:

y × 9.5 = 408 × 1
9.5y = 408
9.5y ÷ 9.5 = 408 ÷ 9.5

43 hours