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satela [25.4K]
2 years ago
15

The area of a rectangular piece of paper is 32 square inches. The perimeter is 24 inches.

Mathematics
1 answer:
rodikova [14]2 years ago
5 0

Answer

4 and 8

Explanation

List all factors of 32 and then find which number equals 24 when added

Or

You could waste time and use alegbra lol

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If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct charac
mezya [45]

There are \binom{52}4 ways of drawing a 4-card hand, where

\dbinom nk = \dfrac{n!}{k!(n-k)!}

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are \binom{13}4 ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are \binom41 ways of picking a card of any given value. We draw 4 cards from the deck, so there are \binom41^4 possible hands in which each card has a different value.

Then there are \binom{13}4 \binom41^4 total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761

4 0
2 years ago
11A. Lakewood Towing Company charges $50 plus $4 per mile to tow
aleksandr82 [10.1K]

Answer:

15 miles

Step-by-step explanation:

50 + 4x = 80 + 2x

-50 -2x = -50 -2x

2x = 30

x = 15

7 0
3 years ago
Find the sum of the first 9 terms in the following geometric series 7+21+63+
Zielflug [23.3K]

Answer: 68887

Step-by-step explanation: the geometics series is (the previous number in the series) x 3, so 63 x 3 =189 x 3 =567 x 3 = 1701 x 3 = 5103 x 3 =15309 x 3 = 45927 and you add all those numbers up to get 68887

4 0
3 years ago
The area of the pool is 150feet the pool is 5ft deep what is the volume​
Vlad [161]

Answer:

750 cubic (^3) feet

Step-by-step explanation:

6 0
3 years ago
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Kipish [7]
Becouse k and n are 'neighbours' so their sum are 180
so k=180-42=138
7 0
3 years ago
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