Answer:
The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft
Step-by-step explanation:
Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²
For maximum volume, the side length, s of the cube must all be equal ;
Therefore area of one side = s²
Number of sides in a cube with top open = 5 sides
Area of surface = 5 × s² = 180
Therefore s² = 180/5 = 36
s² = 36
s = √36 = 6 ft
Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.
I will help you if you show me what questions 1,2,3,4 are.
Answer:
z = -0.57
Step-by-step explanation:
A z-score indicates how much away is something from the mean so it can be more(above) than the mean or less(below) than the mean.
sampling distribution mean = 0.03
standard error = 0.007
researcher's sample mean = 0.026
z = (0.026 - 0.03)/0.007
z = (-0.004)/0.007
z = -0.57
So that means the researcher's sample mean is 0.57 standard deviation below the sampling distribution mean.
The negative sign above is the indicator of below the mean value.
Answer:
A complex number is any number that can be written as \greenD{a}+\blueD{b}ia+bistart color greenD, a, end color greenD, plus, start color blueD, b, end color blueD, i, where iii is the imaginary unit and \greenD{a}astart color greenD, a, end color greenD and \blueD{b}bstart color blueD, b, end color blueD are real numbers.
Step-by-step explanation:
