Does anyone kno the simplified version of (3/2 x - 2) + (3/2x - 1)

Mathematics

1 answer:

blagie [28]4 years ago

7 0

$( \frac{3}{2}x - 2) + ( \frac{3}{2}x - 1) = \frac{3}{2}x - 2 + \frac{3}{2}x - 1 = ( \frac{3}{2}x + \frac{3}{2}x) +(-1-2)$

So we see it equals $3x-3$

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The probability of drawing two aces from a standard deck is 0.0059. We know this probability, but we don't know if the first car

vampirchik [111]

A standard deck of playing cards consists of 52 playing cards.

1. Count the probability of drawing two aces from a standard deck without replacment.

Among 52 playing cards are 4 aces, then the probability to select first ace is 4/52=1/13. After picking out first ace, only 3 aces left and in total 51 playing cards left, then the probability to select second ace is 3/51=1/17. Use the product rule to find the probability to select two aces without replacement:

$\dfrac{1}{13}\cdot \dfrac{1}{17} =\dfrac{1}{221}\approx 0.0045.$

2. Count the probability of drawing two aces from a standard deck with replacment.

Among 52 playing cards are 4 aces, then the probability to select first ace is 4/52=1/13. After picking out first ace, this card was returned back into the deck and the probability to select second ace is 4/52=1/13 too. Use the product rule to find the probability to select two aces with replacement:

$\dfrac{1}{13}\cdot \dfrac{1}{13} =\dfrac{1}{169}\approx 0.0059.$