A teacher selects a student at random from his class of 20 students every week for 20 consecutive weeks. There are 8 girls and 12 boys in the class. What is the probability that there are exactly 12 weeks in which a girl is selected

The value is  

Step-by-step explanation:

From the question we are told that

   The number of boys in the class is  

   The number of girls in the class is  

   The total number of students is  is  n  =  20

    The number of weeks is  N  = 20

The probability of selecting a girl is mathematically represented as

=>

The probability of not  selecting a girl is mathematically represented as  

=>

Generally the selection of students from the class  follows a binomial distribution  

i.e  

and the probability distribution function for binomial  distribution is  

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability that there are exactly 12 weeks in which a girl is selected is mathematically represented as

=>  

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

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step-by-step explanation: