Answer:
Step-by-step explanation:
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them.
For example -3 and -1.
When we want to find difference we have:
-3-(-1)=-2
But distance can not be negative.
Now, we need to count distance between numbers -3 and -1 on the number line.
So we have from -3 to -2, one place and from -2 to -1 one place it is 2 places.
So distance is 2.
<u>Given:</u>
Given that the graph of a linear function.
We need to determine the equation of the graph in slope intercept form.
<u>Slope</u>:
Consider any two coordinates from the equation of the line to determine the slope.
Let the two coordinates are (-4,3) and (4,-1)
The slope can be determined using the formula,
Substituting the coordinates in the above formula, we get;
Thus, the slope of the equation is
<u>Value of y - intercept:</u>
The value of y - intercept is the value of y when x = 0.
Hence, from the graph, it is obvious that the value of y when x = 0 is 1.
Hence, the value of y - intercept is 1.
Thus, y - intercept is
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the slope and the y - intercept
Thus, we get;
Thus, the equation of the line is
Answer:
The cutoff sales level is 10.7436 millions of dollars
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
15th percentile:
X when Z has a pvalue of 0.15. So X when Z = -1.047.
The cutoff sales level is 10.7436 millions of dollars