Answer:
Step-by-step explanation:
Reflect over the Y axis, then translate (x+[-2], y+[-3])
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
51.54 rounded to the nearest whole number equals to 52.
Answer:
25
Step-by-step explanation:
We know that the standard error of the sampling distribution of sample means is
Standard error=standard deviation/√n
√n=standard deviation/Standard error
n=(standard deviation/Standard error)²
We are given that standard deviation=5 and standard error=1. So,
n=(5/1)²
n=5²
n=25.
Thus, the required sample size is 25.
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Step-by-step explanation:
