1.The sample is biased because it does not represent the population.
2.The question is biased toward a Yes response.
Answer:
Step-by-step explanation:
You didn't mark your graph but I'm assuming the point is (1,2)
You notice how the function stops at the point? x and y can not be above that point because there is no line above it.
The domain of the function means what can x possibly be.
The maximum value of x in this function is 1 because that's the x value of the point where the function ended. This means x can at most be one or x≤1. So the domain is x≤1.
The range of the function means what can y possibly be.
The maximum value of y in this function is 2 because that's the y value of the point where the function ended. This means y can at most be two or y≤2. So the range is y≤2.
Answer: 110 square inches.
Step-by-step explanation:
The volume of a rectangular box would be:

In this case, we know the volume, the length and the height, and we don't know the width, so we're going to isolate it:

Substituting the data:

This width is also the width of the top of the box, so the area of the top would be:

Answer:
P = 9 is the max value
Step-by-step explanation:
Sketch
2x + 4y = 10
with x- intercept = (5, 0) and y- intercept (0, 2.5)
x + 9y = 12
with x- intercept = (12, 0) and y- intercept = (0,
)
Solve
2x + 4y = 10 and x + 9y = 12 to find the point of intersection at (3, 1)
The region corresponding to the solution of the system of constraints
Has vertices at (0,
), (0, 0) , (5, 0) and (3, 1)
Now evaluate the objective function at each vertex.
(0, 0) can be excluded as it will not give a maximum
(5, 0) → P = 5 + 0 = 5
(0,
) → 0 + 8 = 8
(3, 1) → 3 + 6(1) = 3 + 6 = 9 ← maximum value
Thus the maximum value is 9 when x = 3 and y = 1
<u>Answer:</u>
3/5
<u>Step-by-step explanation:</u>
We are to find the similarity ratio of a cube with volume
to a cube with volume
.
We know the formula for the ratio of two cubes:
where
is the similarity ratio of the two cubes.
Substituting the given values in the formula to find
:




Therefore, the similarity ratio of the two cubes is 3/5.