12:32 is simply 3:8 but divided by 4 to both sides.
Answer:
If something is guaranteed, it has a probability of 100%, or 1.
Step-by-step explanation:
A standard deck has 52 cards. Of these, half are red cards (diamonds and hearts) and half are black cards (clovers and spades)
Half of the deck is 26 cards (52 ÷ 2 = 26), so you have 26 red and 26 black cards.
What this means in our context is, if we draw 27 cards, even if we drew all 26 black cards, we would still have 1 red card.
So the probability is 100%, or 1, of drawing a red card when we pick 27 cards from a deck, no matter how it's shuffled
First you solve for y.
5x+ y= 12 so Y= 12-5x
And plug it into the next equation
3x- 3(12-5x) = 18
Distribute
3x-36+15x=18
Add 36 to both sides
3x+ 15x= 54
18x= 54 ... divide
x= 3
And you can plug in x to solve for Y
5(3) + y = 12
15+ y = 12 ...subtract 15 from both sides
y= -3
8 green apples
11 red apples
5 nectarines
12 oranges = 36 total fruits
P(green apple then nectarine)
8/36 x 5/36 = 4/18 x 5/36 = 2/9 x 5/36 = 10/324 = <u>5/162</u>
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P (two oranges)
12/36 x 12/36 = 1/3 x 1/3 =<u> 1/9</u>
