The tip is $2.40 and the bill is$14.40
Answer: A) .1587
Step-by-step explanation:
Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.
i.e.
and 
Let x denotes the amount of soda in any can.
Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.
Then, the probability that a randomly selected can will need to go through the mentioned process = probability that a randomly selected can has more than 12.50 ounces of soda poured into it =
![P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587](https://tex.z-dn.net/?f=P%28x%3E12.50%29%3D1-P%28x%5Cleq12.50%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B12.50-12.30%7D%7B0.20%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq1%29%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-0.8413%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20z-table%7D%5D%5C%5C%5C%5C%3D0.1587)
Hence, the required probability= A) 0.1587
Kilograms per cubic centimeter
Answer: $245
she makes $35 every week (her wage, i’m assuming) regardless of how many sales she makes.
in order to find out how much money she makes out of her sales, you have to multiply the percentage commission by how much her sales was: so .12x1750 = $210 from sales.
you then add up her wage and her sales money, so $35 from wage + $210 from sales = $245 total for the week
answer: $245
Answer: 0.3 .
Step-by-step explanation:
The digits in number system = 10 ( 0 to 9)
The total different nine-digit Social security numbers =
[By Fundamental counting principle]
= 1 billion
Total people in united state = 300 million = 300, 000 ,000
Since each person In US have equal chance to get chosen.
Therefore , if a number is selected randomly , then the probability that it belongs to one of the 300 million people in the United States :-

Hence, the required probability is 0.3 .