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Leto [7]
3 years ago
7

If a person rolls a six-sided die and then draws a playing card and checks its color, describe the sample space of possible outc

omes using 1, 2, 3, 4, 5, 6 for the die outcomes and B, R for the card outcomes.
Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Answer:

S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}

Step-by-step explanation:

The sample space is the set of all possible outcomes in the experiment of rolling a six-sided die and then drawing a playing card and checking its color.

There are 6 possible outcomes for the die roll and two for the color of the card, which yields a total of 12 possible outcomes. The sample space is:

S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}

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Suppose that the functions q and r are defined as follows.
satela [25.4K]

Answer:

(r o g)(2) = 4

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Step-by-step explanation:

Given

g(x) = x^2 + 5

r(x) = \sqrt{x + 7}

Solving (a): (r o q)(2)

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(r o g)(x) = r(g(x))

So, first we calculate g(2)

g(x) = x^2 + 5

g(2) = 2^2 + 5

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Next, we calculate r(g(2))

Substitute 9 for g(2)in r(g(2))

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This gives:

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r(9) = \sqrt{16}{

r(9) = 4

Hence:

(r o g)(2) = 4

Solving (b): (q o r)(2)

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r(x) = \sqrt{x + 7}

r(2) = \sqrt{2 + 7}

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r(2) = 3

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Substitute 3 for r(2)in g(r(2))

g(r(2)) = g(3)

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Hence:

(q o r)(2) = 14

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hope this helped! : )

5 0
3 years ago
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