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2 years ago

find the percent increase. round to the nearest percent from 85 books to 134 books. the percent increase is blank

Mathematics

1 answer:

krek1111 [17]2 years ago

4 0

Answer:

57.65%

Step-by-step explanation:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((134 - 85) / 85) * 100 = 57.65 %

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Find the probability of being dealt a full house. (Round your answer to six decimal places.)?

vesna_86 [32]

I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.

A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.

Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.

The number of ways of drawing 2 aces and 3 2s is

$\dbinom42\dbinom43=24$

and the number of ways of drawing 3 aces and 2 2s is the same,

$\dbinom43\dbinom42=24$

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.

Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

$2\dbinom{13}2\dbinom42\dbinom43=3744$

The total number of hands that can be drawn is

$\dbinom{52}5=2,598,960$

Then the probability of getting a full house is

$\dfrac{2\binom{13}2\binom42\binom43}{\binom{52}5}=\dfrac6{4165}\approx\boxed{0.001441}$

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2 years ago

In international morse code, each letter in the alphabet is symbolized by a series of dots and dashes: the letter a, for example

Ostrovityanka [42]

Morse code is essentially the same as binary. That is, there are two "digits", a dot or a dash.

There are 26 letters in the English alphabet. Clearly, we can't just use one dot or dash, since that could only encode 2 letters at the most. We can't use two symbols because that could only encode 4 letters at the most. Similarly, 3 symbols means $2^3=8$ letters at most.

We have to select the smallest power of 2 that exceeds or is equal to 26. In this case, $2^5=32>26$ , so we would have to use up to 5 symbols to encode each letter in the alphabet.

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2 years ago

Solve the simultaneous equation 3x²-xy=0, 2y-5x=1

White raven [17]

Answer:

exact Form:(0,),(1,3)

Equation Form: ( 0, )

x=1 y=3

Step-by-step explanation:

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2 years ago

PLEASE HELP ME

Marianna [84]

So 70 divided by 2 is 35 so 35 minutes

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2 years ago

What percent of 43.75 is 70

Pavlova-9 [17]

1.6 % of 43.75 is 70
Because 70/43.75 is 1.6

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3 years ago

find the percent increase. round to the nearest percent from 85 books to 134 books. the percent increase is *blank*

find the percent increase. round to the nearest percent from 85 books to 134 books. the percent increase is blank