Answer: 20 Bottles
Step-by-step Explanation:
$71.00 is the total.
$3.55 is for one bottle.
So you have to divide $71.00 by $3.55, to find out how many she can buy. So,
$71.00/$3.00 = 20.
Mrs. Thomas can buy 20 bottles of juice.
Answer:
The probability that at most 3 attempts are required to produce a craft item with satisfactory quality is 0.9375
Step-by-step explanation:
Let E be a random variable denoting the event that an artist makes a craft item with satisfactory level.
Then the random variable E follows a Geometric distribution.
A Geometric distribution is defined as the number of failures (<em>k</em>) before the first success.
The probability function of Geometric distribution is:
, <em>p</em> = Probability of success and <em>k</em> = 0, 1, 2, 3...
The probability of success is, <em>p</em> = 0.5 and the number of failures is, <em>k</em> = 3.
Compute the probability of at most 3 attempts before the first success is:
![P(X\leq 3) =P(X=3)+P(X = 2)+P(X=1) +P(X = 0)\\=[(1-0.5)^{0}*0.5]+[(1-0.5)^{1}*0.5]+[(1-0.5)^{2}*0.5]+[(1-0.5)^{3}*0.5]\\=0.9375](https://tex.z-dn.net/?f=P%28X%5Cleq%203%29%20%3DP%28X%3D3%29%2BP%28X%20%3D%202%29%2BP%28X%3D1%29%20%2BP%28X%20%3D%200%29%5C%5C%3D%5B%281-0.5%29%5E%7B0%7D%2A0.5%5D%2B%5B%281-0.5%29%5E%7B1%7D%2A0.5%5D%2B%5B%281-0.5%29%5E%7B2%7D%2A0.5%5D%2B%5B%281-0.5%29%5E%7B3%7D%2A0.5%5D%5C%5C%3D0.9375)
Therefore, the probability that at most 3 attempts are required to produce a craft item with satisfactory quality is 0.9375.
One <u>possible inequality</u> is:
299m+261j ≥ 1000.
Explanation:
m is the number of cups of milk and j is the number of cups of juice.
Each cup of milk contains 299 mg of calcium. This gives us 299m mg of calcium for m cups of milk drank.
Each cup of juice contains 261 mg of calcium. This gives us 261j mg of calcium for j cups of juice drank.
Together, this would be a total of 299m+261j mg of calcium.
We want to meet or exceed 1000 mg of calcium. This means we could have more than 1000 or equal to 1000; this gives us the inequality symbol "greater than or equal to":
299m+261j ≥ 1000