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prisoha [69]
3 years ago
9

Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?

Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer:

a) The formula for the area of a circle  

Step-by-step explanation:

The formula for the area of a circle is  

A = πr²

π is an irrational number and, no matter what value you use for r, the area will be an irrational number,

b) is wrong. A = ½(a + b)h.  

c) is wrong. A = ½bh.

d) is wrong. A = bh.

All measurements are rational numbers, so the areas will be rational numbers.

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20 business cards are placed in a hat, 10 belong to women, 10 belong yo men If 2 cards are drawn at once. what's the probability
erik [133]

Answer:

First choice:

               \large\boxed{\large\boxed{5/19}}

Explanation:

<em>The probability that the first is a man's card and the second, a woman's card</em> is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards  in the hat has changed.

In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.

<u>1. Probability that the first is a man's card</u>

  • Number of cards in the hat = 20 (the 20 business card)

  • Number of man's card in the hat: 10

  • Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.

<u />

<u>2. Probability that the second is a woman's card</u>

  • Number of cards in the hat = 19 (there is one less card in the hat)

  • Number of wonan's card in the hat: 10

  • Probability = favorable oucomes / possible outcomes = 10/19.

<u>3. Probability that the first is a man's card and the second, a woman's card</u>

<u />

  • (1/2) × (10/19) = 5/19

That is the first choice.

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