The probability that a student passes an examination is 2/5. if two students are picked at random from the class, what is the probability that one of them will pass and the other one will fail?

12/25

Step-by-step explanation:

There are four possibilities, P=Pass, F=Fail:

The chance of failing is 1-2/5 = 3/5.

PP = 2/5 * 2/5  = 4/25

PF = 2/5 * 3/5 = 6/25

FP = 3/5 * 2/5 = 6/25

FF = 3/5 * 3/5 = 9/25

(note that these chances add up to 1, as they should!)

We are interested in PF or FP, the sum of those is 6/25 + 6/25 = 12/25

So generally, when you say "AND" you multiply chances, and when you say "OR" you add them.

So (student 1 Passes AND student 2 Fails) OR (Student 1 Fails AND student 2 Passes)

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: