The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one of the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 40 trials Ind got the following results.
Outcome 0 1 2 3 4 5 6 7 8 9
Number of Trials 7 3 5 2 7 3 2 1 4 6
Fill in the table below. Round your answers to the nearest thousandth.
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8:
(a) Assuming that the machine is fair, compute the theoretical probability of getting a 0.
(b) From these results, compute the experimental probability of getting a 0.
0
(C) Assuming that the machine is fair, choose the statement below that is true:
The experimental and theoretical probabilities must always be equal.
As the number of trials increases, we expect the experimental and theoretical
probabilities to become closer, though they might not be equal.
As the number of trials increases, we expect the experimental and theoretical
probabilities to become farther apart.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

step-by-step explanation:

one day the were 5 ducks, and their king told them to multiply their kingdom. so each went their own seperate way and met 4 other ducks on their journey.

when the ducks returned to their kingdom, it was discovered that there were 5 groups of 5 ducks. when the kind counted the number of ducks in total (including the ones he sent out earlier) he counted 25.

therefore 5 times 5 is 25.

the end. : )

it's a proportional graph.

step-by-step explanation:

8 x 5 = 40         (and you have -8x and -5y)

x= absiss

y= orderly

so you have a proportional graph.