Answer:
Step-by-step explanation:
These both are independent events. Neither is really a conditional probability. It's like asking "What the chances of getting a heads given that you got a tails in the previous through?" The answer is 1/2 if it is a fair coin.
So the total number of M and Ms is
21+ 15 + 10 + 14 + 5 = 65
5/65 * 14/64 = 0.0168 Be careful you you put that in your calculator.
Part B is a bit harder.
14/65 * 13/64 = 0.04375
First you'll need to find the line of symmetry using the formula x=-b/2a. In this case, you have x=-(4/3)/(2*(-1/3))=(-4/3)/(-2/3). Then take this x value and plug it into your equation to get a y-value. This will be your vertex. Now what I like to do to get the other 2 points needed to graph the parabola is pick an x value 1 unit left of the vertex x value and another x value 1 unit right of the vertex x value. That will give you two points on either side of the vertex, and connecting the three points will create your parabola.
Answer will depend on the value of the radius. If radius is 6 and height is 7, volume is: 791.28 m^3
If radius is 7 and height is 6, volume is: 923.16 m^3
Answer:
Step-by-step explanation:
f(x)+1 means the graph is moved up by 1
f(x)-1 means it is moved down by 1
f(x+1) means it is moved left by 1
f(x-1) means it is moved right by 1
Keep in mind when it's inside the function it's kinda flipped. since the right is the positive x direction and vice versa.
Anyway, the options show us how the top point is moved. It always starts at (4,1). I will solve the first and leave the others to you, but let me know if yous till need me to walk you through it.
In A the point moves from (4,1) to (4,3) So what does this mean? It means up by 2, since 1 goes to 3. Now, which of the options make the graph move up? the f(x)+1 option. Well, if f(x)+1 makes it go up by 1, then f(x)+2 makes it go up by 2, which is what we want. So A goes with f(x)+2