We have that the total students there are 500. The 12-graders there are 200. Probability is defined as the ratio of positive outcomes of an event, over all the possible outcomes. Suppose we pick student randomly. Then, there are 200 positive outcomes (positive outcome: we pick a student in 12th grade) and there are totally 500 outcomes (we can pick 500 students in total from Riverside High School). This ratio gives:

. The requested probability is 0.40
Answer:
17) A(-1,1) B(-1,4) C(5,1)
18) (From origin moving rightwards)
A(0,0) B(a, 0) C(a,a) D(0,a)
Step-by-step explanation:
17) You just count the steps, how many steps left, right, up, or down
18) The first point is at the origin, so 0,0
The second point that lies on the x axis is (a,0) as it is a distance from the origin, 0 because it's on the x-axis.
The third point is (a,a) because it is a distance to the right of the origin AND a distance upwards from the x axis.
The fourth point (0,a) because it is on the vertical line (0) and is a distance above the origin.
Answer:
7
Step-by-step explanation:
18-4
=14
÷2
=7.
hoped this helped
Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
<u>Pyramid A</u>
-- base sides
-- Volume
<u>Pyramid B</u>
--- base sides
Required
Determine the volume of pyramid B <em>[Missing from the question]</em>
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:

Where B represents the area of the base equilateral triangle, and it is calculated as:

Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:




The height is calculated from:

This gives:

Make h the subject



To calculate the volume of pyramid B, we make use of:

Since the heights of both pyramids are the same, we can make use of:

The base area B, is then calculated as:

Where

So:



So:

Where
and 



The answer is 6 and 1/15.