Step-by-step explanation:
Let x be the length and y be the width of the rectangular plot.
The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,
x+2y = 1500
x = 1500 - 2y ....(1)
We know that the area of a rectangular plot is given by :
A = xy ....(2)
Put the value of x from equation (1) in (2)
.....(3)
For largest area, differentiate above area equation wrt y.

Put the value of y in equation (1).
x = 1500-2(375)
= 750 m
Put the value of y in equation (3).

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.
The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03
Step-by-step explanation:
Step 1 :
Given,
The percentage of students buying the raffle ticket = 30%
The percentage that the student who bought the ticket wins the prize = 10%
We need to determined the probability that randomly selected student will buy a raffle ticket and win a prize.
Step 2 :
The probability that a student buys the raffle ticket = 
The probability that a student wins a prize =
= 
The probability that a student who buys the ticket wins a price can be computed by taking the product of the above 2 probabilities.
=
×
=
= 0.03
Step 3 :
Answer :
The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03
Answer:
Please where are the boxes
Answer:
fx=8-3dx
Step-by-step explanation: