Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 38 minutes and
1 answer:
Answer:
Right of z = 1.2
Step-by-step explanation:
Population mean (μ) = 38 minutes
Standard deviation (σ) = 5 minutes
The z-score for any given time X is described by:
For X = 44 minutes:
Z-scores to the right of 1.2 will represent times over 44 minutes.
Therefore, the percentage of time in which Dave's commute will exceed 44 minutes is the area under the standard normal curve that lies to the right of z=1.2
You might be interested in
Answer:
Step-by-step explanation:
Vertically stretched. The action of vertically stretched is accomplished by altering a in
y = a* abs(x)
What that means is that you make a > 1. In this case, a = 2
So far, what you have is
y = 2*abs(x)
Six units down. The action of 6 units down is accomplished by a number added or subtracted to/from absolute(x). down is minus, up is plus.
y = 2*abs(x) - b. Since we are moving down, b<0
y = 2*abs(x) - 6
Four Units Right. This is the tough one because it is anti intuitive. You would think you should be adding something somewhere to get a right hand movement.
Not true.
To move right you subtract something in the brackets.
y = 2*abs(x - 4) - 6
Graph
Just to make things complete, I have graphed this for you. Desmos is wonderful for this kind of problem.
red: y = abs(x)
blue: y = 2*abs(x - 4) - 6
