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Mathematics, 31.10.2019 08:31 rosy2019

Acommittee of ten people must choose a president, vice president, and a secretary. two of the committee members are lucy and tony. assume the assignments are made at random.

what is the probability that tony is president and lucy is vice president?

write your answer as a reduced fraction.

the probability that tony is president and lucy is vice president is?

ansver
Answers: 1
ansver
Answer from: Quest
I'm not sure exactly but my best guess would be 1/4
ansver
Answer from: Quest

solution:

the given function is ,

f(x) = 4 x^3 - 72 x^2 + 320 x,

      = 4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

f(x) = a x^3+ b x^2 + c x+d,

sum of the roots = a + b +c= 0+8+10=18=   \frac{-b}{a}

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =   \frac{c}{a}

product of roots = a b c = 0=   \frac{d}{a}

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function f(x) = 4 x^3 - 72 x^2 + 320 x, is given by entry and exit route of this hall.

ansver
Answer from: Quest

hi i’m going tomorrow morning and i can come over and you out with this stuff for me haha ya day is going crazy and i’ll tell you what i’m talking about you don’t wanna go do you think i’m going to be a good friend i just don’t know how much you mean about the stuff you want to do and stuff you know i just want you and you know that i’m going crazy i don’t think i’m going crazy about going tomorrow and i’ll tell ya hey i don’t think i’m going crazy about going tomorrow and i’ll tell you what i’m done

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