Algebra
The graph is C, or the graph down left.
This is because the other graphs lack the same vertex.
Answer:
correct
Step-by-step explanation:
negative integers are still rational numbers if it is a whole number or complete
Answer:
a, b and c
Step-by-step explanation:
Answer:
(c)
![0.25^{1} 0.75^{3}](https://tex.z-dn.net/?f=0.25%5E%7B1%7D%200.75%5E%7B3%7D)
Step-by-step explanation:
As given in the statement, we have:
Out of 4 games pieces, 1 is winner.
Probability to win =p= ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
Jeff has game pieces = n = sample size = 4
As we need to find the probability that he wins exactly 1 prize, we will use binomial probability here :
![P (X = k) = \left\ ({{n} \atop {k}} )\right. p^{k} (1-p)^{n-k} \\](https://tex.z-dn.net/?f=P%20%28X%20%3D%20k%29%20%3D%20%5Cleft%5C%20%28%7B%7Bn%7D%20%5Catop%20%7Bk%7D%7D%20%29%5Cright.%20p%5E%7Bk%7D%20%281-p%29%5E%7Bn-k%7D%20%5C%5C)
Evaluating at k=1, (k=1 as we need to find probability for exactly 1 prize won)
put n = 4, p =![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
P (X = 1) =![\left\ ({{4} \atop {1}} )\right. 0.25^{1} (1-0.25)^{4-1}](https://tex.z-dn.net/?f=%5Cleft%5C%20%28%7B%7B4%7D%20%5Catop%20%7B1%7D%7D%20%29%5Cright.%200.25%5E%7B1%7D%20%281-0.25%29%5E%7B4-1%7D)
P =![\left\ ({{4} \atop {1}} )\right. 0.25^{1} (0.75)^{3}](https://tex.z-dn.net/?f=%5Cleft%5C%20%28%7B%7B4%7D%20%5Catop%20%7B1%7D%7D%20%29%5Cright.%200.25%5E%7B1%7D%20%280.75%29%5E%7B3%7D)
Which is the probability that he wins exactly 1 prize and is option c.