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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.
Answer:
b= -4.68
Step-by-step explanation:
Hello!
We have to study variables:
Y: Monthly coffe sales
X: Price per pound of coffe ($)
The estimate regression line is
^Yi= a + bxi ∀ (i=1,.....,10)
The slope of the estimated regression line is represented by b.
The formula I'll use to calculate it is:
b= [n∑xiyi -(∑xi)*(∑yi)]/ n∑xi²-(∑xi)²
To calculate b we need to do some auxiliary calculations:
∑xiyi= 4213.15
∑xi= 87.47
∑yi= 545
∑xi²= 883.3703
Then we replace the formula:
b= [10*4213.15-(87.47)*(545)]/ n883.3703-(87.47)²
b= -4.68
I hope you have a SUPER day!
Answer:
26 salads were ordered with Italian dressing
Step-by-step explanation:
Here, we want to know the number of salads ordered with Italian dressing;
To find the number of salads with Italian dressing, we shall need to divide the number of cups of italian salad dressing served by the number of cups of dressing served with each salad
Mathematically, that would be;
6 1/2 divided by 1/4
= 13/2 divided by 1/4
= 13/2 * 4/1 = 26
