Answer:
A shopkeeper marks:
$200 * 1.4 = $280
Step-by-step explanation:
With a discount of 25%:
$280 * 0.75 = $210
Each petal of the region

is the intersection of two circles, both of diameter 10. Each petal in turn is twice the area of a circular segment bounded by a chord of length

, which implies the segment is subtended by an angle of

. This means the area of the segment is


This means the area of one petal is

, and the area of

is four times this, or

.
Meanwhile, the area of

is simply the area of the square minus the area of

, or

.
So



(provided these regions are indeed disjoint; it's hard to tell from the picture)
Let x represents the number of dvds sold per day:
To complete the probability distribution table, you need to add all the probabilities given and deduct that to 1 so that you can get the probability of 5-9, applying what I have said:Probability of 5-9:= 1 - (0.1875+0.4375+0.1250) = 1 – 0.75= 0.2500
But the question is not asking for the probability of 5-9, but 5 or more. So deduct the .1875 to 1 since .1875 only represents 0-4.P(X>= 5) = 1 - 0.1875 = 0.8125