Answer:
2
Step-by-step explanation:
x times x is x^2
It is A because you have to divide by a negative one
Answer:
a. at least 20%, when in fact, it is less than 20%.
Step-by-step explanation:
Type 1 Error is to reject null hypothesis when it is actually true.
Here the null hypothesis is fewer than 20% of Evergreen Valley College (EVC) students attended the show.
In mathematics fewer than 20% means less than 20%.
So the null hypothesis is that less than 20 % students attended the show.
We have to reject this hypothesis .
We can reject this hypothesis when we assume that the % is greater than or equal to 20 %
At least 20% means greater than or equal to 20%.
So the best choice is option a.
at least 20%, when in fact, it is less than 20%.
The volume of the cube is base times width times height, or any of these measurements cubed, since they're all the same.
Therefore, the volume of the cube is:
12³ = 1728 in³
The volume of the cylinder is π*r²*h, where r is the radius and h is height
Remember that the diameter is twice the radius, so the radius is 2 in and the height is 5 in.
Therefore, each can has a volume of π * 2² * 5 = 20π
Approximating π as 3.14....
The volume of each can is 62.8 in³
1728 ÷ 62.8 = 27.5
Rounding down, 27 cans can fit in the crate.
This is how I suspect the teach wanted you to solve, since it involves finding the volume of both shapes and using pi. However, this is not actually how many cans can fit, because it does not take into account the fact that not every inch of available space will be used.
Here is another way to solve,taking this fact into account, that gives the more accurate answer:
Each can has a diameter of 4in, which means that they each require a square of 4 x 4 in to accommodate their base.
The base of each can requires 16 in² of space in the crate.
The base of the cube is 12 x 12, so the area of the base is 144 in²
144 ÷ 16 = 9, so the base of the cube, or bottom of the box, can fit 9 cans, arranged 3 by 3.
The cube has a height of 12 inches, and each can is 5 inches tall. Therefore, two of these stacks can fit in the box, for 9 x 2 = 18 cans.
This is a much better answer, as it takes into account the fact that the cans can't occupy every inch of available space in the cube.
Answer:
The axis of symmetry of a parabola is a line about which the parabola is symmetrical.
Step-by-step explanation:
The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.
