a coin is tossed , then a number 1-10 is chosen at random.what is the probability of getting heads then a number less than 4?

1 answer:

4 0

Probability of sequences can be calculated by multiplying the chance of the first event by the chance of the second, and so on.

The probability of tossing a coin and getting heads is 50%, or 0.5, and the probability of selecting a number less than four from 1-10 is 40%, or 0.4.

The overall probability can then be expressed as:

0.5 x 0.4 = 0.2 or 20%

There is a twenty percent chance that a heads would be tossed and a number less than four selected.

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What ordered pair is closest to a local minimum of the function, f(x)? (–1, –3) (0, –2) (1, 4) (2, 1)

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The answer is: $(2,1)$

By definition, a point is a local minimum if it has the smallest y coordinate in that interval and the graph goes from decreasing to increasing.

Based on this information, you can graph the points given in the problem above, as you can see in the figure attached. Then, you can notice that the ordered pair that is closest to a local minimum of the function is the last option shown in the problem.