A binomial distribution can only be used when there are 2 possible outcomes, no more, no less.
Looking at the situations given you are able to use a binomial distribution in 2 cases.
First is the quarter being flipped 3 times. There are only two possibilities (Heads or Tails).
Second is the 3 marbles being pulled out of the bag. There are only two types of marbles (Green and Blue).
Find the ratio of the two similar sides that both dimensions are given.
The smaller triangle aide that is 4 units is the similar side of the larger triangle given as 8 units.
8 / 4 =2, this means the larger triangle is 2 times the size of the smaller triangle, which also means the smaller triangle is 1/2 the size of the larger triangle.
X on the smaller triangle is 1/2 11 units which equals 5.5 units.
Y is 2 times 3, which equals 6 units.
x = 5.5
y = 6
The answer would be iii: 10-15%
the way to find this is to divide 43 by 381 to get 11.2% which falls in the rage of 10-15%
Answer:
Step-by-step explanation:
So an ellipse can be expressed in two different but very similar forms:
<u><em>Horizontal Major Axis:</em></u>
<u><em>Vertical Major Axis</em></u>:
In both equations the length of the major axis is "2a" and the length of the minor axis is "2b"
In the equation you provided, the major axis is horizontal, and the minor axis is vertical.
So looking at the horizontal length, you can see that it's 6, and since this ellipse has a horizontal major axis, that means 2a=6, which means a=3
Looking at the vertical length, you can see that it's 4, and since the ellipse has a vertical minor axis, that means 2b=4, which means b=2
The last thing to note is that the center of an ellipse is (h, k) in the equation, and since here the center is (0, 0) it's (x-0)^2 and (y-0)^2 in the denominator which is just x^2 and y^2
So let's plug in the values into the equation:
(h, k) = (0, 0)
a = 3
b = 2