The following are some probabilities for the relative frequencies, f, of red marbles in ten draws from a jar of marbles when P(R) = .5. P(f=0) = .001, P(f=.1) = .01, P(f=.2) = .04, P(f=.3) = .12, P(f=.4) = .20, P(f=.5) = .25.
Using these values and the fact that the distribution is perfectly symmetrical [i. e., P(f=.6) = P(f=.4), and so on], determine the following probabilities:
(a) P[f= (0 or 1.00]
(b) P[f= (0 or .1 or .2 or .3)]
(c) P[f= (.3 or .4 or .5 or .6 or .7)]

1. what expression would be the same as 6x+x+0 2. find the prime factorization of 60 3. write the expression for 6 + x in words.

Asunflower was 20 1/2 inches tall. over the next 6 months, it grew to a height of 37 inches tall. what was the average yearly growth rate of the height of the plzzz write a proportion i will give you 100 points

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.