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ipn [44]
3 years ago
13

(x³+6)(x⁴-9)= _____  (type terms in descending order) please help!!!!!

Mathematics
1 answer:
docker41 [41]3 years ago
5 0
(x^3+6)(x^4-9)=\\
x^7-9x^3+6x^4-54=\\
x^7+6x^4-9x^3-54
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A standard deck of cards contains 52 cards. One card is selected from the deck.​(a)Compute the probability of randomly selecting
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a. There are four 5s that can be drawn, and \binom43=4 ways of drawing any three of them. There are \binom{52}3=22,100 ways of drawing any three cards from the deck. So the probability of drawing three 5s is

\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of \frac8{52}=\frac2{13}\approx0.15 of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability \frac{12}{52}=\frac3{13}\approx0.23 of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of \frac{16}{52}=\frac4{13}\approx0.31.

- - -

Note: \binom nk is the binomial coefficient,

\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k

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3 years ago
How do I solve for d in the following equation? c(ad) + x= bd + ad(yz)
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You need to d to one side of the equation by itself and them use PEMDAS to solve your answer
4 0
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What is 9.35 as a fraction
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3 years ago
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