Write an equation for a function that has a graph with the given characteristics.

The shape of y=1/x shifted left 3 units and shifted down 8 units.

y =

Step-by-step explanation:

When you change anything horizontally, you only change the x part. When you change anything vertically, you change the whole function.

In this case, since you shift left 3 units, you only alter the x:

y = becomes y =

It's x + 3 instead of x - 3 because horizontal is kind of backwards. - means right and + means left.

Now, when you shift down 8, you are altering the whole function, so:

y = becomes y =

Notice that this time, it's - 8 and not + 8 because vertical is not backwards like horizontal is: - means down and + means up.

So, the answer is y = .

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