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2 years ago

13

For each 50 mm of coloured fabric Nick uses to make his curtains, he also uses 10 cm of white fabric. Express the amount of whit

e fabric to coloured fabric as a ratio in its simplest form.

1 answer:

Luda [366]2 years ago

6 0

Answer:

5/1

Step-by-step explanation:

Step-by-step explanation: you just put 50/10 and divide by the common number, 5, which gets you 5/1

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Step-by-step explanation:

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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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2 years ago