-1, because the equation for the slope is y2-y1/x2-x1. So let's bring the y value in the second set of point, which is 20, and bring the first y value in the first set of points, which is 5. 20-5 is 15. Now let's subtract the x values. So the second x from the second parentheses x value is -7, and the first x value from the first parentheses is 8. -7-8 is -15. Now we have this division equation, 15/-15, which is -1. So therefore, the slope of the line will be -1.
All the numbers follow a pattern of division by 2
Therefore the next number is 3/2 which is equal to 1.5
With
, we have identical PDFs

for
, and 0 otherwise, where

Since
are independent, the joint PDF is

for points
in the unit square, and 0 otherwise.
1. The distribution is continuous, so
.
2.
is the region in the
plane contained within the unit square and above the line
. This region is empty, because this line lies above the square altogether, so
.
3.
is the region in the same square below the line
. So we have

Answer:
Step-by-step explanation:
price of tv and sales tax = 1.0688×$189 = $202.0032 ≅ $202.00
4 years = 3×365 days + 366 days = 1461 days
cost of electricity = 1461 days × $0.06/day = $87.66
lifetime cost = purchase price + electricity + repairs
= $202.00 + $87.66 + 2·$29
= $347.66