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slamgirl [31]
3 years ago
7

Three coins are placed in a bag. Each coin is labeled "1", "2", or "3". A coin is drawn from the bag, recorded, and then placed

back in the bag. Estimate the probability that the coin labeled "1" will be drawn next. 3 3 2 2 1 1 3 3 2 2
Mathematics
1 answer:
Tpy6a [65]3 years ago
7 0

Answer:

1/3 or 33.33%

Step-by-step explanation:

Each draw is an independent event, and it doesn't happen what happened before, since the coin is placed back in the bag, recreating the same scenario.

There are 3 coins in the bag... so drawing out the coin labeled '1' is one possibility out of three possible outcomes.

1/3 or 33.33%

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for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).
Schach [20]

Answer:

  • k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>
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<h3>Line 2</h3>
  • Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

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<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

  • <em>standard form is ⇒ ax + by + c = 0, </em>
  • <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

  • 3x - ky + 7 = 0
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Its slope is 3/k.

Find the slope of line 2, using the slope formula:

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<u>Step 1</u>: Expand by distributing terms.

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<u>Step 2</u>: Simplify -3 × 4x to -12x.

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<u>Step 3</u>: Simplify 3 × -0.50 to -1.5.

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<u>Step 4</u>: Remove parentheses and add.

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