Answer:
Step-by-step explanation:
By inscribed angle theorem:
![m\angle R = \frac{1}{2} [360 \degree - (120 \degree + 140 \degree)] \\ \\ m\angle R = \frac{1}{2} [360 \degree -260 \degree] \\ \\ m\angle R = \frac{1}{2} \times 100 \degree \\ \\ m\angle R = 50 \degree \\ \\](https://tex.z-dn.net/?f=m%5Cangle%20R%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%5B360%20%5Cdegree%20-%20%28120%20%5Cdegree%20%2B%20140%20%5Cdegree%29%5D%20%20%5C%5C%20%20%5C%5C%20m%5Cangle%20R%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%5B360%20%5Cdegree%20-260%20%5Cdegree%5D%20%20%5C%5C%20%20%5C%5C%20%20m%5Cangle%20R%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20100%20%5Cdegree%20%20%5C%5C%20%20%5C%5C%20%20m%5Cangle%20R%20%20%3D%2050%20%5Cdegree%20%20%5C%5C%20%20%5C%5C%20)
<span>We define
day--------------------------X
hockey cards away ------------f(X)
</span><span>He gives 2 cards away ----------------on day 1----------f(X)=2 X=1
</span>He gives 4 cards away ----------------on day 2----------f(X)=4 X=2
He gives 8 cards away ----------------on day 3----------f(X)=8 X=3
the sequence of cards away 2,4,8,16,32,64,128,256,512,1024
f(x) = 2**(x)
The answers are
D <span>Each day corresponds to a unique amount of hockey cards in this sequence.</span>
And B <span>The graph of this sequence would pass the vertical line test.
Each element of the Domain (X = day), relates to a single value of f(x) = number of hockey cards
That is, every value of X must have only one corresponding value of f(x)
(One value of y, for each input X)
This can also be checked by using the vertical line test.
If we plot f(x) and we draw vertical lines in the curve, we can verify that at every input the line intersects only one point of f(x)</span>
Answer:
10% probability that each sample of size 3 is selected
Step-by-step explanation:
Each sample has the same probability of being selected.
There are 10 samples.
This means that the probability of each sample being selected is:
1/10 = 0.1
10% probability that each sample of size 3 is selected
In it, a trapezoid has a bottom base(B) and a top base(b) and it has a height(h)
The formula is :
