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jekas [21]
2 years ago
5

What is the probability of drawing a face card from a standard deck of cards and rolling a 3 or more on a 20-sided dice?

Mathematics
1 answer:
Nastasia [14]2 years ago
3 0

Answer: 20.77%

Step-by-step explanation:

There are 52 cards in a standard deck. Out of these cards, there are 12 face cards. Thus, the probability of drawing a face is 12/52.

On a 20-sided dice, there are 20 options of numbers to roll. Out of these 20 numbers, 18 of the numbers are greater than or equal to 3, making the probability 18/20, or 9/10.

To find the probability of two events, you need to multiply the probabilities together. Thus, you need to multiply 12/52 by 9/10.

(12/52) * (9/10) = 27/130

27/130 is about equal to 0.2077, or a 20.77% probability.

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In the figure shown, r || s. If the measure of ∠ 2 = 146°, what is the measure of ∠ 7
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Answer:

34°

Step-by-step explanation:

1. First, let's find the measure of ∠1 because since r || s, that means ∠1 = ∠7 because they're both alternate exterior angles. Alternate exterior angles are congruent.

2. (Solving for ∠1)

  • 146 + x = 180
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3. Now, since we know ∠1 = ∠7, ∠7 = 34°.

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