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3 years ago

82,300,000 in scientific notation

Mathematics

2 answers:

alukav5142 [94]3 years ago

5 0

Answer:

82300000 in scientific notation = 8.23 × 107.

Step-by-step explanation:

Not sure if that's right.

storchak [24]3 years ago

3 0

Answer:

8.23×10^7

Step-by-step explanation:

to convert a number i to scientific form just drag the point to first non zero digit and write it with some multiple of 10

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A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl

Andrew [12]

Answer: $\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}$ or $\dfrac{228}{91885}$ .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = $^{52}C_9$

Now , the combination of 9 cards such that exactly 6 of them are face cards = $^{12}C_{6}\times^{40}C_3$

Now , the probability that the hand contains exactly 6 face cards will be :-

$\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}$

$=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}$

Hence, the probability that the hand contains exactly 6 face cards. is $\dfrac{228}{91885}$ .

6 0

3 years ago

"If a number divided by 4 leaves remainder 2 or 3", then which one is the correct statement 'n why?

Hoochie [10]

Answer:

As the number is a prime number. Therefore, option 'c' is true.

Step-by-step explanation:

Let us take the number 7 and divide it by 4

$\frac{7}{4}$

We know that

$Quotient\frac{Remainder}{Divisor}$

$\frac{7}{4}=1\frac{3}{4}$

so the remainder is 3. ∵ $Quotient\frac{Remainder}{Divisor}$

As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.

Thus, the number is a prime number. Therefore, option 'c' is true.

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Answer:

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