The ratio is 1 1/2 cups of cheese to 6 oz of pasta. All statements have 1 cup of cheese, so let's find the corresponding amount of pasta using a rule of three:
![\begin{gathered} 1\frac{1}{2}\text{ cups cheese}\to6\text{ oz pasta} \\ 1\text{ cup cheese}\to x\text{ oz pasta} \\ \\ \frac{1\frac{1}{2}}{1}=\frac{6}{x} \\ \frac{3}{2}=\frac{6}{x} \\ 3x=12 \\ x=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%201%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20cups%20cheese%7D%5Cto6%5Ctext%7B%20oz%20pasta%7D%20%5C%5C%201%5Ctext%7B%20cup%20cheese%7D%5Cto%20x%5Ctext%7B%20oz%20pasta%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B1%5Cfrac%7B1%7D%7B2%7D%7D%7B1%7D%3D%5Cfrac%7B6%7D%7Bx%7D%20%5C%5C%20%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B6%7D%7Bx%7D%20%5C%5C%203x%3D12%20%5C%5C%20x%3D4%20%5Cend%7Bgathered%7D)
So the amount of pasta is 4 oz, therefore the correct statement is B.
Answer:
A no. ans is 17a/20
B no. ans is 10c-7d/35
C no. ans is +1/−1⋅2/2⋅−1⋅3/2⋅−1⋅4
<h2>I only know this much answer.</h2><h3>Sorry. but hope this is helpfull.</h3>
Answer:
The advertisement should use 16 minutes.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
![f(x) = \mu e^{-\mu x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cmu%20e%5E%7B-%5Cmu%20x%7D)
In which
is the decay parameter.
The probability that x is lower or equal to a is given by:
![P(X \leq x) = \int\limits^a_0 {f(x)} \, dx](https://tex.z-dn.net/?f=P%28X%20%5Cleq%20x%29%20%3D%20%5Cint%5Climits%5Ea_0%20%7Bf%28x%29%7D%20%5C%2C%20dx)
Which has the following solution:
![P(X \leq x) = 1 - e^{-\mu x}](https://tex.z-dn.net/?f=P%28X%20%5Cleq%20x%29%20%3D%201%20-%20e%5E%7B-%5Cmu%20x%7D)
The probability of finding a value higher than x is:
![P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}](https://tex.z-dn.net/?f=P%28X%20%3E%20x%29%20%3D%201%20-%20P%28X%20%5Cleq%20x%29%20%3D%201%20-%20%281%20-%20e%5E%7B-%5Cmu%20x%7D%29%20%3D%20e%5E%7B-%5Cmu%20x%7D)
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.
This means that ![m = 3.5, \mu = \frac{1}{3.5} = 0.2857](https://tex.z-dn.net/?f=m%20%3D%203.5%2C%20%5Cmu%20%3D%20%5Cfrac%7B1%7D%7B3.5%7D%20%3D%200.2857)
What number of minutes should the advertisement use?
The values of x for which:
![P(X > x) = 0.01](https://tex.z-dn.net/?f=P%28X%20%3E%20x%29%20%3D%200.01)
So
![e^{-\mu x} = 0.01](https://tex.z-dn.net/?f=e%5E%7B-%5Cmu%20x%7D%20%3D%200.01)
![e^{-0.2857x} = 0.01](https://tex.z-dn.net/?f=e%5E%7B-0.2857x%7D%20%3D%200.01)
![\ln{e^{-0.2857x}} = \ln{0.01}](https://tex.z-dn.net/?f=%5Cln%7Be%5E%7B-0.2857x%7D%7D%20%3D%20%5Cln%7B0.01%7D)
![-0.2857x = \ln{0.01}](https://tex.z-dn.net/?f=-0.2857x%20%3D%20%5Cln%7B0.01%7D)
![x = -\frac{\ln{0.01}}{0.2857}](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B%5Cln%7B0.01%7D%7D%7B0.2857%7D)
![x = 16.12](https://tex.z-dn.net/?f=x%20%3D%2016.12)
Rounding to the nearest number, the advertisement should use 16 minutes.
Answer:
21
Step-by-step explanation:
Good luck ..have a nice day
4 Bus stops... I hope this helped