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jasenka [17]
3 years ago
6

Ax-b=c solve for b A- b= -ax-c B- b=ax+c C- b= -ax+c D- b=ax-c

Mathematics
1 answer:
Alex3 years ago
6 0
Ax - b = c....subtract ax from both sides
-b = -ax + c <==
or it could also have been b = ax - c (but that ones not there)
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3 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a re
Rudik [331]

Answer: \dfrac{15}{17}

Step-by-step explanation:

Total number of cards in a deck = 52

Number of red cards = 26

Number of cards not red =

Number of ways to draw not red cards = ^{26}C_3

Total ways to draw 3 cards = ^{52}C_3

The probability that none of three cards are red = \dfrac{^{26}C_3}{^{52}C_3}

=\dfrac{\dfrac{26!}{3!(26-3)!}}{\dfrac{52!}{3!(52-3)!}}  [∵ ^nC_r=\dfrac{n!}{r!(n-r)!}]

=\dfrac{\dfrac{26\times25\times24\times23!}{(23)!}}{\dfrac{52\times51\times50\times49!}{3!(49)!}}=\dfrac{2}{17}

Now , the probability that at least one of the cards drawn is a red card = 1- Probability that none cards are red

=1-\dfrac{2}{17}=\dfrac{17-2}{17}=\dfrac{15}{17}

Hence, the required probability = \dfrac{15}{17}

6 0
3 years ago
What is the median of the data represented in the line plot?
nevsk [136]

Answer:

The answer is Choice D

Step-by-step explanation

The median is the middle value in the given set of data.

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Thus, from the data, it is obvious that the number of data in the given set is 13.

Hence, the middle number is 23.

Therefore, the median of the data is 23.

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In this case, the acute angle is 40º.

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Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
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