Answer:
And we can find this probability with this difference:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount of cofee shops of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
Answer:
The radius would be 12cm
and the height 4
gives u the surface area of 1206cm^3
Step-by-step explanation:
Answer:
x= 6/7z
Step-by-step explanation:
5x + 4z = 10z - 2x
5x + 2x = 10z - 4z
7x = 6z
x = 6/7z
Answer:
10 ounces of milk and 50 ounces of orange juice
Step-by-step explanation:
Let the amount of milk be x ounces and the amount of orange juice be y ounces.
1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.
2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.
<u>Calcium:</u>
20x milligrams in milk
40y milligrams in orange juice
2,200 milligrams in total
Hence,
<u>Vitamin A:</u>
60x micrograms in milk
10y micrograms in orange juice
1,100 micrograms in total
Hence,
Solve the system of two equations:
Divide each equation by 10:
From the second equation:
Substitute it into the first equation:
Answer:
1778 cm
Step-by-step explanation:
