Mrs. palesch has a 17 3/4 ounce bag of chocolate chips. she will use one 1/4 oz of chocolate chips for baking the cake, and then she will use 1/4 of the remaining bag for decorating a cake. how many ounces will she use for decorating?

Mrs Palesch will use 4   ounces  for decorating

Step-by-step explanation:

Mrs. Palesch has a 17 3/4 ounce bag of chocolate chips. She will use one 1/4 oz of chocolate chips for baking the cake, and then she will use 1/4 of the remaining bag for decorating a cake.

To solve this, all we simply need to do is to find 1/4 of 17

First we will convert 17 into mixed improper fraction

That is; 17 =

Then next is to find  of

=    ×  = = 4   ounces

Therefore Mrs Palesch will use 4   ounces  for decorating.

so, converting firstly the mixed fractions to improper fractions and then "adding".

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