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vagabundo [1.1K]
3 years ago
10

I can work 2 straight hours if I drink 4 coffee's , what if i drink 36 coffee's. How many hour's can I ?

Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0
18 hours.
2:4
_:36
46÷4=9
2×9=18
Deffense [45]3 years ago
3 0
To solve this, set up an equation for how many hours you can stay up per coffee. To do this, first figure out how many hours you can stay up per coffee by dividing your number of hours by your number of coffees, in this case 2 hours/4 coffees, giving you 1/2 hour per coffee. Now, set up your equation to be h=rc, with h being your hours, c being your number of coffees, and r being your ratio, which you determined to be r. You now have h=(1/2)c, which you can plug 36 coffees into to get h=(1/2)(36)=18 hours. This means that if you drink 36 coffees, you can work 18 hours straight.
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A standard deck has 4 jacks.
A standard deck has 13 clubs.

From this, we can derive the following:
The probability of drawing a jack is 4/52 or 1/13
The probability of drawing a club is 13/52 or 1/4

But since the problem asks for drawing jack or club, therefore we should add the 2 probabilities, making 17/52. This is not the final answer yet. We know that there is a jack of clubs, therefore we need to subtract 1 from the probabilities since jack of clubs were considered in the 2 categories of probability.

With that being said, the probability of drawing a club or a jack is 16/52 or 4/13

Bonus Question:

The first thing you need to do here is find the probability of each scenario. First let's do what is given, the probability of drawing 2 aces. Since there are 4 aces in a deck of 52, we can easily say that the probability of drawing an ace is 4/52. However for our second draw, the probability of drawing a different ace is 3/51. This is so since we already drew a card that is an ace, hence we need to subtract one from the total aces (4-1) and from the total cards in the deck (52-1). In getting the probability of drawing two aces, we need to multiply the said probabilities: 4/52 and 3/51, resulting to 1/221.

For the second scenario, the drawing of 2 red cards, we just use the same concept but in this, we are already considering the 2 red cards in the first scenario, therefore the chance of drawing a red on our first draw is 24/52. For our second, we just need to subtract one card, therefore 23/51. Multiply these two and we will get 46/221.

Now, the problem asks for the chance of drawing either 2 reds or 2 aces, therefore we add the probabilities of the 2 scenarios:
46/222 + 1/221 = 47/221

Summary:
First Scenario:
4/52 + 3/51 = 1/221
Second Scenario:
24/52 + 23/51 = 46/221
Chances of drawing 2 red cards or 2 aces:
1/221 + 46/221 = 47/221
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