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3 years ago

I need help with 2-51. PLEASEE AND TYYY

Mathematics

1 answer:

tia_tia [17]3 years ago

3 0

Answer:

R-{-5}

Step-by-step explanation:

you get the vertex by making the denominator =0

ex.z+5=0 ,z=-5

then we see if the rational function has a constant beside it ex. 3÷z+5-3 ,but in this you Don't have one so its 0

so the vertex would be (-5,0)

the domain =R-{-5} , range=R-{0}

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Each of three bags A, B, C contains white balls and black balls. A has a1 white & b1 black, B has a2 white & b2 black an

Alex73 [517]

Answer:

See explanation ( Answers are too long)

Step-by-step explanation:

We will first compute a general probability for picking a white ball:

P (W) = a_1 / (a_1 + b_1) + a_2 / (a_2 + b_2) + a_3 / (a_3 + b_3)

part a)

We are asked to find the probability of white ball given that it pulled from bag A. So if we express it in notation we are asked for P ( A / W). We will use conditional probability to answer our question:

P ( A / W ) = P ( W & A ) / P (W)

P ( W & A ) = a_1 / (a_1 + b_1)

Hence,

P ( A / W ) = [a_1 / (a_1 + b_1)] / [a_1 / (a_1 + b_1) + a_2 / (a_2 + b_2) + a_3 / (a_3 + b_3)]

part b)

We are asked to find the probability of white ball given that it pulled from bag B. So if we express it in notation we are asked for P ( B / W). We will use conditional probability to answer our question:

P ( B / W ) = P ( W & B ) / P (W)

P ( W & B ) = a_2 / (a_2 + b_2)

Hence,

P ( A / W ) = [a_2 / (a_2 + b_2)] / [a_1 / (a_1 + b_1) + a_2 / (a_2 + b_2) + a_3 / (a_3 + b_3)]

part c)

We are asked to find the probability of white ball given that it pulled from bag C. So if we express it in notation we are asked for P ( C / W). We will use conditional probability to answer our question:

P ( C / W ) = P ( W & C ) / P (W)

P ( W & C ) = a_3 / (a_3 + b_3)

Hence,

P ( A / W ) = [a_3 / (a_3 + b_3)] / [a_1 / (a_1 + b_1) + a_2 / (a_2 + b_2) + a_3 / (a_3 + b_3)]

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BlackZzzverrR [31]

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viktelen [127]

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