Mrs. Claus wants to have a nice meal ready when Santa comes home. She wants to make waffles and she knows that he will be hungry. If each recipe requires ¾ cups of butter and she has 4 ½ cups of butter, how many waffle recipes can she make?

6

Step-by-step explanation:

Each recipe of waffles requires 3/4 cups of butter

Mrs Claus has 4 1/2 cups of butter

Therefore the number of recipes which she will be able to make can be calculated as follows

= 4 1/2 ÷ 3/4

= 9/2 ÷ 3/4

= 9/2 × 4/3

= 6

Hence Mrs Claus can make 6 recipes

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

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