Answer: 8 batches
Step-by-step explanation:
To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction
5 1/3 = 16/3
Then we can now use the proportion to solve
2/3 cups = 1 batch
16/3 cups = x (note:5 1/3=16/3)
cross multiply
2/3 × x = 16 /3
2x/ 3 = 16/3
we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2
2/3 × 3/2 x = 16/3 × 3/2
6x /6 = 48 / 6
x = 8
Therefore she made 8 batches of cookies.
Answer:
19
Step-by-step explanation:
if you add 9 to the number 10, you get 19
10
<u>+ 9</u>
<u>19</u>
Answer:
0.001
Step-by-step explanation:
This is a combination problem, so we need to calculate the combination of 7 choose 5, and then multiply by the probability of each event:
Combination of 7 choose 5:
C(7,5) = 7! / (5! * 2!) = 7*6/2 = 21
This value means that we have 21 different possibilities of the 5 days we want being allocated in the 7 days
Now, the probability of each event is:
5 days playing the song: (0.15)^5
2 days not playing the song: (0.85)^2
So, the final probability is
P = C(7,5) * (0.15)^5 * (0.85)^2 = 0.001
Well it would actually be 7.2 inches per each piece
