The statements are true about the graphs of all nth degree polynomials are B and D.
B. It goes up and down at most a total of n times.
D. The number of x-intercepts is at most n.
To solve for x, you must first understand how the median was calculated out of the given set of numbers. Without looking at the given median value, we can see that we cannot get the median by process of elimination since there are an even amount of numbers in this particular set. Therefore, we must average the two closest values to what should be the median.
In this case, the values are "45" and "x". If we pretend that we know the value of the variable "x" (for example we will pretend that x is 55), then we should have an equation that looks like this: (45+55) ÷ 2 = [median]. What this equation is doing is adding the two closest values to the median (45 and 55) and dividing it by 2, the number of values we are averaging. Now we can solve this equation and simplify it to 100 ÷ 2 which is 50, our median.
So if they give us the median instead of the x value, then we can rewrite the equation to fit your request: (45+x) ÷ 2 = 51. Now we can solve for x:
1. Multiply by 2
(45+x) = 102
2. Subtract 45
x = 57
The x value for your question is 57.
Mason compared the number of free throws made to the number of free throws missed. The probability would actually be 2/5 becahse 18+12 is 30, giving you your denominator, then you made 12. So, simplifying 12/30 gives you your probability of 2/5.
Hope this helps you!
No
If two planes intersect each other, the intersection will always be a line. where r 0 r_0 r0 is a point on the line and v is the vector result of the cross product of the normal vectors of the two planes.
This one is just some simple division, an example in the lesson is this question exact but with different numerical values. It is 14.5%, which doesn't make much sense with the context.
The answer is B, 14.5%! Feel free to ask further questions about this topic!
