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2 years ago

Which expression is equivalent to the expression below?

Mathematics

1 answer:

Mama L [17]2 years ago

4 0

Answer:

5r + 2p + 6

Step-by-step explanation:

= 4r + 9 + r + 2p - 3

= 4r + r + 2p + 9 - 3

= 5r + 2p + 6

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2 years ago

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3 years ago

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A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that

Lyrx [107]

Answer:

$Probability = \frac{1}{5}$ or $Probability = 0.2$

Step-by-step explanation:

Given

$Black = 25$

$White = 35$

$Red = 40$

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

$Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)$

Convert to mathematical expressions

$Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]$

Solve for each probaility;

$P(Black) = \frac{Black}{Total} = \frac{25}{100}$

$P(Red) = \frac{Red}{Total} = \frac{40}{100}$

So, we have:

$Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]$ $Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]$

$Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]$

$Probability = [\frac{1}{10}] + [\frac{1}{10}]$

$Probability = \frac{1+1}{10}$

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3 years ago

What is the equation x^2+12x-3=16 written in the form (x-p)^2=q using the method of completing the square ?

Alexus [3.1K]

Step-by-step explanation:

${x}^{2} + 12x - 3 = 16$

${x}^{2} + 12x = 19$

${x}^{2} + 12x + 36 = 19 + 36$

$(x + 6) {}^{2} = 55$

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2 years ago