Write the equation of the line in fully simplified slope-intercept form

y = m(x-2) + 1

Step-by-step explanation:

y' = 1, x' = 2(From the graph.

...equation of a straight line is y - y' = m(x - x') where m represent the gradient of the slope.

substitute the values of x' and y' into the line equation.

therefore we have, y-1 = m(x - 2)

Now let's solve for y.

y = m(x-2) + 1

that's it.

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