There are 4 leaves along 3 in. of an ivy vine. there are 20 leaves along 15 in. of the same vine. which equation models the y number of leaves along x in. of vine?

Step-by-step explanation:

Let number of leaves be x and the inches of vine along the leaves be y

Now, let the equation which models the y number of leaves along x inches of vine be : y = k·x ......(1)

As given , 4 leaves along 3 inches of an ivy vine

⇒ y = 4 , x = 3

Putting these values in (1)

⇒ 4 = k·3

Also, There are 20 leaves along 15 inches of an ivy vine

⇒ y = 20 , x = 15

Putting these values in (1)

⇒ 20 = k·15

So, k in both the cases is same hence it can be used to model the general equation for number of leaves y along x inches of vine.

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