Answer:
a) Time in terms of AM or PM: Binary, qualitative and nominal (binary attributes are considered nominal)
b) Brightness as measured by a light meter: Ratio, quantitative and continuous.
c) Brightness as measured by people's judgments: Discrete, qualitative and ordinal (assuming they're chosen discretely)
d) Angles as measured in degrees between 0 and 360: Ratio, quantitative and continuous.
e) Bronze, Silver, and Gold medals as awarded at the Olympics: Qualitative, discrete and ordinal.
f) Height above sea level: Quantitative, continuous, ratio/interval (depending if it's seen as an arbitrary origin).
Answer:
D or 2 units wide, 8 units long
Step-by-step explanation:
2 x 8 = 16
Let ax+by=c be the given(known) line
slope of this line (m₁) = -a/b
Let m₂ be the slope of required line
Since given line and required line are perpendicular to each other, the product of their slopes must be equal to -1
Therefore, m₁.m₂ = -1
(-a/b)m₂ = -1
m₂ = b/a
Therefore, by slope-intercept form, line perpendicular to given line can be given by,
y=m₂x+c
y=(b/a)x+c
Therefore, ay-bx=c
or bx-ay+c = 0
Where c is constant and it can be determined according to the conditions given in questions.
Therefore the required line is,
bx-ay+c=0
Answer:
81.85% of the workers spend between 50 and 110 commuting to work
Step-by-step explanation:
We can assume that the distribution is Normal (or approximately Normal) because we know that it is symmetric and mound-shaped.
We call X the time spend from one worker; X has distribution N(μ = 70, σ = 20). In order to make computations, we take W, the standarization of X, whose distribution is N(0,1)
The values of the cummulative distribution function of the standard normal, which we denote 
, are tabulated. You can find those values in the attached file.
Using the symmetry of the Normal density function, we have that 
. Hece,
The probability for a worker to spend that time commuting is 0.8185. We conclude that 81.85% of the workers spend between 50 and 110 commuting to work.
