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3 years ago

12

The difference of the two digits of a number is 2. When the digits are reversed, the new number is 18 more than the original num

ber.
Please Show Work Thank you!

1 answer:

antoniya [11.8K]3 years ago

4 0

Answer:

31, 53,57,79,24,46,68

Step-by-step explanation:

13+18=31

35+18=53

57+18=75

79+18=97

24+18=42

46+18=64

68+18=86

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Read 2 more answers

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is 5. The pro

Dmitrij [34]

Answer:

a. 1 / 13
b. 3 / 13
c. 10 / 13

Step-by-step explanation:

<h3>a.</h3>

There are four 5's in the deck. This means that, from 52 possible cards to drawn, we have 4 chances of drawing a 5. This means that the probability will be:

$p = \frac{4}{52}$

$p = \frac{1}{13}$

<h3>b.</h3>

For every suit, there are three face cards, J, Q and K. There are 4 suits, so, the total number of face cards its:

$4 * 3 = 12$

The total possible cards are, still, 52, so, the probability will be

$p = \frac{12}{52}$

$p = \frac{3}{13}$

<h3>c.</h3>

We know that the card drawn must be a face card, o not being a face card. There is no third choice here. So, the probability of drawing a face card OR not drawing a face car its:

$p = \frac{52}{52} = 1$

so

$p(the \ card \ is \ a \ face \ card) + p(the \ card \ is \ not \ a \ face \ card) = 1$

$p(the \ card \ is \ not \ a \ face \ card) = 1 - p(the \ card \ is \ a \ face \ card)$

but, we know that

$p(the \ card \ is \ a \ face \ card = \frac{3}{13}$

so

$p(the \ card \ is \ not \ a \ face \ card) = 1 - \frac{3}{13}$

$p(the \ card \ is \ not \ a \ face \ card) = \frac{10}{13}$

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3 years ago