The vertex is exactly half way between directrix and focus. In this case the vertex is (8,-7)
(h,k)
P is the distance between the vertex and either the directrix or focus, in this case p = 1.
a = 1/(4p) or 1/(4*1) or 1/4
write the equation in vertex form
y = a(x-h)^2 + k
y = 1/4(x-8)^2 -7
Answer:
3
Step-by-step explanation:
I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.
In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.
Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.
Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.
That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.
Hope this helps :)
Answer: B. Outlier
Step-by-step explanation:
An outlier is an extremely large or extremely small data value in a data set such that it appears far from the other data points when we plot data points on scatter plot or box plot.
Thus, the data point that is the farthest from other data points when the box plot is NOT symmetrical is Outlier.
Its presence affects the value of mean directly. So when a data set have outliers , we prefer Median(Mid value of a data set) as the best measure of central tendency because existence of outliers does not effect Median .
Hence, the correct option is B. Outlier.
There will be eight marbles on the 9th line
1. Round 50.75 to 50 and 0.18 to 0.20.
50 x 0.2 = 10
2) Round 96 to 100 and 0.499 to 0.5
100 divided by 0.5 = 50
3a) Round 8.2 to 8, 6.7 to 7, and 0.46 to 0.50
8 x 7 divided by 0.50 = 112
3b) Round 23.4 to 20, 13.9 to 10, and 0.18 to 0.20
20 x 10 divided by 0.20 = 2,000
