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Mathematics

1 answer:

pochemuha3 years ago

3 0

Answer:

Step-by-step explanation:

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In the given diagram the side opposite angle J is LR which is :

<h2>Option D</h2>

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Find the slope of the line that passes through the points (–2, 2) and (13, –7).

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What is the value of x in the diagram below?

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In a set of 24 cards, each card is numbered with a different positive integer from 1 to 24. One card will be drawn at random fro

pentagon [3]

Answer:

$P_{f} = \frac{7}{24}$

Step-by-step explanation:

Considering that the set has 24 cards on it, <em>numbered from 1 to 24 inclusive</em>, it means that the total number of cases is 24. Now, we have to find the number of favorable outcomes.

Cases where the number is divisible by both 2 and 3:

In the interval 1 to 24 inclusive, $[1,24]$ :

Numbers divisible by 2 => 2 4 6 8 10 12 14 16 18 20 22 24

Numbers divisible by both 2 and 3 => 6 12 18 24

Which means that there are <em>4-favorable outcomes for this scenario</em>.

Cases where the number is divisible by 7:

In the interval 1 to 24 inclusive, $[1,24]$ :

Numbers divisible by 7 => 7 14 21

Which means that there are <em>3-favorable outcomes for this scenario.</em>

The total number of favorable outcomes is $4 + 3 = 7$ . Since the total number of cases is $24$ , the probability of favorable outcomes, $P_{f}$ , is: