Fred is answering a multiple-choice problem on an exam, and has to choose one of n options (exactly one of which is correct). let k be the event that he knows the answer, and r be the event that he gets the problem right (either through knowledge or through luck). suppose that if he knows the right answer he will de nitely get the problem right, but if he does not know then he will guess completely randomly. let p(k) = p. (a) find p(kjr) (in terms of p and n). (b) show that p(kjr) p, and explain why this makes sense intuitively. when (if ever) does p(kjr) equal p?

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

you bought 31 v bucks

step-by-step explanation:

25+6=31

school a:

minimum value is 2

maximum value is 22

the lower quartile is 2.5

the median is 10

the upper quartile is 15.5

school b:

minimum value is 9

maximum value is 20

the lower quartile is 12

the median is 16

the upper quartile is 18

box plot for school a isn't symmetrical. the data tails on the right

box plot for school b isn't symmetrical. the data tails on the left

hope i

-lavira: )