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alexgriva [62]
3 years ago
6

A single card is drawn at random from a standard 52 card deck. Work out in its simplest form: p(3)= P(not 3)=

Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

Answer:

1/13 and 12/13

Step-by-step explanation:

To answer this question, we need to know the number of cards that are 3 .

Each suite has a single 3 and there are 4 suites.

This means we have 4 cards that are 3

Now, the probability of 3; P(3) would be 4/52 = 1/13

P(of not 3) = 1- probability of 3 = 1-1/13 = 12/13

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A metallurgist has one alloy containing 34% copper another containing 48% copper. How many pounds of each alloy must he use to m
Zielflug [23.3K]

Answer:

<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>

Step-by-step explanation:

        First alloy contains 34% copper and the second alloy contains 48% alloy.

We wish to make 46 pounds of a third alloy containing 37% copper.

       Let the weight of first alloy used be x in pounds and the weight of second alloy used be y in pounds.

       Total weight = 46\text{ }pounds=x+y        -(i)

      Total weight of copper = 37\%\text{ of 46 pounds = }34\%\text{ of }x\text{ pounds + }48\%\text{ of }y\text{ pounds }

       \dfrac{37\times 46}{100}=\dfrac{34x}{100}+\dfrac{48y}{100}\\\\ 34x+48y=1702        -(ii)

       Subtracting 34 times first equation from second equation,

34x+48y-34x-34y=1702-34\times46\\14y=138\\y=9.857\text{ }pounds \\x=36.143\text{ }pounds

∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.

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3 years ago
When a number x is multiplied by 6, the result is 38 .
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Find the diameter and circumference of a circle with the radius of 13.1 km.
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R = 13.1
so
<span>diameter  = 13.1 x 2 = 26.2 km
</span>circumference = 2 pi r = 26.2 pi km
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Raphael works 12 hours each week. He earns £4 per hour. Tom saves 1/3 of earnings each week. How many weeks does it take Tom to save £80?

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