What happens to a point that constantly varies in direction? a) it becomes a curve. b) it becomes a surface. c) it becomes a right line. d) it becomes a plane figure.

The question says , point varies in a direction , now when any point will vary in a direction , it will make a line .

If it varies in a direction with some angle , or we can say that the direction is also varying then it makes a curve .

If the line varies in two directions at the same time , it makes a surface ,

And

if the line varies in all directions then it makes a plane , and then it will have three coordinates.

Now here the point varies only in 1 direction . Hence it makes a line.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560