Amultiple-choice examination consists of 90 questions, each having possible choices a, b, c, d, and e. approximate the probability that a student will get fewer than 15 answers correct if she randomly guesses at each answer. (note that, if she randomly guesses at each answer, then the probability that she gets any one answer correct is0.2 .) use the normal approximation to the binomial with a correction for continuity

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step-by-step explanation:

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solution:

the given function is ,

      =

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 ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

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 is given by entry and exit route of this hall.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140