ABC is similar to APQ. Find x and y.
1 answer:
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Answer:
a)
b)
c) They'd have lost $1000 if they had sold no calendars.
Step-by-step explanation:
a) The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
In this case we know that "y" represents the profit of loss and "x" the number of calendars sold.
Then, according to the exercise, the line passes through these two points:
and
Then, we can find the slope of the line with the formula
Now, we can substitute the slope and one of those points into and solve for "b":
Then, subtituting values, we get that the equation that describes the relation between the profit of loss and the number of calendars sold, is:
b) The slope of the line is the profit they made from selling each calendar
c) The y-intercept is the amount they would have lost if they had sold no calendars:
They'd have lost $1000 if they had sold no calendars.
The graph of the linear equation can be seen in the image below.
<h3 /><h3>How to graph the linear equation?</h3>Here we have the linear equation:
y = (2/5)*x - 6
To graph it, we just need to find two points on the line, and then connect them with a line.
To find the points we just evaluate in two values of x.
if x = 0.
y = (2/5)*0 - 6 = -6
Then we have the point (0, -6)
If x = 5.
y = (2/5)*5 - 6 = 2 - 6 = -4
Then we have the point (5, - 4)
Now we can graph these two points and connect them with a line. The graph of the line can be seen below.
If you want to learn more about linear equations:
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Answer:
The probability that occurrence of 8 in ten minutes is 0.0771.
Step-by-step explanation:
Poisson Distribution:
A discrete random variable X having the enumerable set {0,1,2,.....} as the spectrum, is said to have Poisson distribution with parameter (>0), if the p.m.f is given by
for x=0,1,2,...
= 0, elsewhere
The mean number of occurrences in ten minutes is 5.3.
Here = 5.3 and x= 8
=0.0771
The probability that occurrence of 8 in ten minutes is 0.0771.