The proportion of buses traveling more than 900 miles would be 0.0485; multiply this by the total number of buses and you will have your answer.
We find the z-score associated with 900 miles:
z = (X - μ)/σ = (900-830.11)/42.19 = 1.66
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of this, less than this, is 0.9515. This means that the area under the curve to the right of this, greater than this, would be 1-0.9515 = 0.0485.
Answer: y = -4x + 1 or y = 1 - 4x
Step-by-step explanation:
First, we have to find the slope of the perpendicular. The slope of the line perpendicular to the other is the <u>reciprocal and opposite value</u> of the other line's slope.
This means that the slope perpendicular to y = 1/4x + 2 is -4, or -4/1.
Now we need to find the y-intercept, to do that we will use the equation y = mx + b. m = slope, b = y-intercept.
Plug in the values.
1 = -4(0) + b
Simplify.
1 = 0 + b
1 = b
Our y-intercept is 1.
Now we can form the slope-intercept equation for the line perpendicular to y = 1/4x + 2 that passes through the point (0, 1).
y = -4x + 1
Answer:
You can plot the lines by putting the values of x and y.
For y=x-2, if we put x= 2, then we got y=0
So, the point for this equation will be (2,0). Similarly, you can get many points for the equations and join them to plot lines in the graph.
Density = mass / volume
Density = 4,830 / 0.25
Density = 19,320 kg/m
Answer:
C = 2000 + 25 * X
$ 7000
Step-by-step explanation:
We have that the value of the total costs is equal to the fixed costs plus the variable costs.
As fixed costs we have $ 2000 and variable cost we have $ 25 for each unit, that is, the equation for total costs would be:
Let x be the number of toys, then:
C = 2000 + 25 * X
If there are 200 toys, the cost would be:
Replace x with 200:
C = 2000 + 25 * 200
C = 7000
In other words, the cost of producing 200 toys would be $ 7000.
