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Lilit [14]
3 years ago
9

A keep tossing a fair coin, until he get 2 consecutive heads, define x to be the number of tosses for this process; b keep tossi

ng another fair coin, until he get 3 consecutive heads, define y to be the number of the tosses for this process.
Mathematics
1 answer:
devlian [24]3 years ago
8 0

Answer:


Step-by-step explanation:


I think you're making an incorrect assumption here. X and Y are two events based on two separate, independent series of coin tosses, from coins A and B, respectively. Here's an example:

Coin one:

T-T-T-T-H-H

Coin two:

H-H-H-T-T-T

<u><em>Event X (two heads in a row from coin A) occurred after event Y (three heads in a row from coin B). In the language of the question, X=6 and Y = 3. Since X>Y is a possible event in the space, P{X>Y} must be greater than zero.</em></u>

<em>answer:</em>

The problem can be broken down by the outcome of the first toss of the two coins.

Bearing arithmetic typos, the answer should be <u><em>43/58.</em></u>

<u><em>thanx</em></u>

<u><em>hope it helps youuu</em></u>



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Answer:

Part A) y=\frac{3}{4}x-\frac{1}{4}  

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see the attached figure to better understand the problem

Step-by-step explanation:

we have

points L(-3, 6), N(3, 2) and P(1, -8)

Part A) Find the equation of the  median from N

we Know that

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step 1

Find the midpoint segment LP

The formula to calculate the midpoint between two points is equal to

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step 2

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The formula to calculate the slope between two points is equal to

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substitute the values

m=\frac{-1-2}{-1-3}

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step 4

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Part B) Find the equation of the  right bisector of LP

we Know that

The right bisector is perpendicular to LP and passes through midpoint segment LP

step 1

Find the midpoint segment LP

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

we have

L(-3, 6) and P(1, -8)

substitute the values

M(\frac{-3+1}{2},\frac{6-8}{2})

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step 2

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m=\frac{y2-y1}{x2-x1}  

we have

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substitute the values

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step 3

Find the slope of the perpendicular line to segment LP

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m_2=\frac{2}{7}

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Part C) Find the equation of the altitude from N

we Know that

The altitude is perpendicular to LP and passes through point N

step 1

Find the slope of the segment LP

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}  

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substitute the values

m=\frac{-8-6}{1+3}

m=\frac{-14}{4}

m=-\frac{14}{4}

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step 2

Find the slope of the perpendicular line to segment LP

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m_1*m_2=-1

we have

m_1=-\frac{7}{2}

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m_2=\frac{2}{7}

step 3

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{2}{7}

point\ N(3,2)

substitute

y-2=\frac{2}{7}(x-3)

step 4

Convert to slope intercept form

Isolate the variable y

y-2=\frac{2}{7}x-\frac{6}{7}

y=\frac{2}{7}x-\frac{6}{7}+2

y=\frac{2}{7}x+\frac{8}{7}

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