Samuel needs 332 feet of wood to build a fence. The wood comes in lengths of 15 feet. How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel. How many pieces of wood does Theresa need?

Samuel will need 23 pieces of wood.

Theresa will need 46 pieces of wood.

Step-by-step explanation:

To find how many total pieces Samuel will need, we have to divide 332 feet into 15, since each piece of wood is equivalent to 15 feet:

÷

Samuel can't have a portion of wood, the wood pieces he has must be represented as a whole number. We have to round up to 23 pieces of wood.

Samuel will need 23 pieces of wood to build his fence.

_

If Theresa needs twice as many feet as wood, we have to multiply Samuel's pieces of wood by its length (15 feet):

×

Multiply by 2:

×

Now, divide by :

÷

Theresa will need 46 pieces of wood.

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