Area=length*width
let the sides perpendicular to the river be x
then the side parallel to the river is 4,700-2x
A(x)=x(4700-2x)
A(x)=4700x-2x^2
This a quadratic function with a=-2 and b=4700
thus
Maximum area occurs where x=-b/2a=-4700(-2*2)=1,175 ft
length=4700-2(1175)=2,350 ft
Answer: Stratified sampling
Step-by-step explanation:
Stratified sampling is a random sampling method in which the population is divided into non-coinciding groups are called strata and a sample is picked out by some design within each stratum.
Given: A researcher wants to survey people from different age groups to analyze voting patterns.
Thus he will make different groups according to different ages to analyze voting patterns that are called stratum.
Thus, Stratified sampling best accomplish this goal.
Let p positive number:
p²+44²>250250
p²>250250-44²
p²>248314
take the square root of both sides:
√p²>+√248314
p> 498.3 or 500 is the number
