Answer:
18 + 5x
Step-by-step explanation:
more than means adding
For a system of linear equations to have no solution, they must be parallel. If you imagine the graph of two parallel lines, they can never intersect, meaning there cannot be a solution/a point that is on both lines.
For two lines to be parallel they must have the same slope, so the m value of both equations are the same. The b value can be any value you want, as long as they don't have the same b value (or else they'd be the same line! and the same lines have an infinite number of solutions).
One pair could be:
y=3x+3 and y=3x+9
But you can come up one yourself you'd like :)
Answer:
We conclude that cheddar popcorn weighed less than 5.5 ounces.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ =5.5 ounces
Sample mean,
= 5.23 ounces
Sample size, n = 64
Alpha, α = 0.05
Sample standard deviation, σ = 0.24 ounce.
First, we design the null and the alternate hypothesis
![H_{0}: \mu = 5.5\text{ ounces}\\H_A: \mu < 5.5\text{ ounces}](https://tex.z-dn.net/?f=H_%7B0%7D%3A%20%5Cmu%20%3D%205.5%5Ctext%7B%20ounces%7D%5C%5CH_A%3A%20%5Cmu%20%3C%205.5%5Ctext%7B%20ounces%7D)
We use One-tailed z test to perform this hypothesis.
Formula:
![z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }](https://tex.z-dn.net/?f=z_%7Bstat%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B%5Cbar%7Bx%7D%20-%20%5Cmu%7D%7B%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%7D)
Putting all the values, we have
![z_{stat} = \displaystyle\frac{5.23 - 5.5}{\frac{0.24}{\sqrt{64}} } = -9](https://tex.z-dn.net/?f=z_%7Bstat%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7B5.23%20-%205.5%7D%7B%5Cfrac%7B0.24%7D%7B%5Csqrt%7B64%7D%7D%20%7D%20%3D%20-9)
Now, ![z_{critical} \text{ at 0.05 level of significance } =-1.645](https://tex.z-dn.net/?f=z_%7Bcritical%7D%20%5Ctext%7B%20at%200.05%20level%20of%20significance%20%7D%20%3D-1.645)
Since,
![z_{stat} < z_{critical}](https://tex.z-dn.net/?f=z_%7Bstat%7D%20%3C%20z_%7Bcritical%7D)
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that cheddar popcorn weighed less than 5.5 ounces.