Answer:
2197 cm^3
Step-by-step explanation:
V = s^3
V = (13 cm)^3
V = 2197 cm^3
Answer:
CS = 4
Step-by-step explanation:
From the figure below;
Triangle ABC is similar to triangle RSC
Therefore, the ratio of the corresponding sides in the two triangles is equal;
That is;

In this case, CR = 2 , RA = 3 and BC = 10 we are required to determine CS
But; 
AC=CR + RA
= 5
Assuming CS is y, then


Therefore, CS is 4
The expected value of the game is the mean value of the game
The expected value of the game is $1
<h3>How to determine the expected value?</h3>
There are 13 spades in a deck of card of 52
So, the probability of selecting a spade is:
P(Spade) = 13/52
Simplify
P(Spade) = 1/4
Winning = $7
The probability of not selecting a spade is:
P(Not spade) = 1 - 1/4
Simplify
P(Not spade) = 3/4
Lose = $1
The expected value of the game is:

This gives

Simplify

Evaluate

Hence, the expected value of the game is $1
Read more about expected values at:
brainly.com/question/15858152
Answer:
The slope is 6.
Step-by-step explanation:
For this, you will want to use the slope formula.
m = y2 - y1 / x2 - x1
m = 14 - 2 / 19 - 17
m = 12 / 2
m = 6
Answer:
(4,1)
Step-by-step explanation:
The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).
To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.
To find the y-coordinate, input the x=4 and solve for y.

The vertex is (4,1).