Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
Find the slope using rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(2 - 0) / (1 + 2)
2 / 3
= 2/3
Then, plug in the slope and a point into y = mx + b to solve for b:
y = mx + b
2 = 2/3(1) + b
2 = 2/3 + b
1 1/3 = b
Plug in the slope and y intercept into y = mx + b
y = 2/3x + 1 1/3 is the equation of the line
For this case we have that by definition, the volume of a cube is given by:
![V = l ^ 3](https://tex.z-dn.net/?f=V%20%3D%20l%20%5E%203)
Where:
l: It's the side of the cube
According to the statement data:
![l = 2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}](https://tex.z-dn.net/?f=l%20%3D%202%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B2%20%2A%202%20%2B%201%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B5%7D%20%7B2%7D)
Substituting in the formula we have:
![V = (\frac {5} {2}) ^ 3\\V = \frac {5 ^ 3} {2 ^ 3}\\V = \frac {125} {8}\\V = 15.625](https://tex.z-dn.net/?f=V%20%3D%20%28%5Cfrac%20%7B5%7D%20%7B2%7D%29%20%5E%203%5C%5CV%20%3D%20%5Cfrac%20%7B5%20%5E%203%7D%20%7B2%20%5E%203%7D%5C%5CV%20%3D%20%5Cfrac%20%7B125%7D%20%7B8%7D%5C%5CV%20%3D%2015.625)
Thus, the shipping cube volume is![15.625 \ ft ^ 3](https://tex.z-dn.net/?f=15.625%20%5C%20ft%20%5E%203)
Answer:
![15.625 \ ft ^ 3](https://tex.z-dn.net/?f=15.625%20%5C%20ft%20%5E%203)
Ahmad = 1/6
Barry = 1/2
Tara = 1 - 1/6 - 1/2 = 1/3
1/3 of the seashells = 76
3/3 of the seashells = 76 x 3
3/3 of the seashells = 228
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Answer: They had 228 seashells altogether.
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Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Step-by-step explanation:
Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.
Let
be the population mean .
We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.
i.e. Null hypothesis :![H_0:\mu=140](https://tex.z-dn.net/?f=H_0%3A%5Cmu%3D140)
Alternative hypothesis for two tail hypothesis has sign (≠).
i.e. Alternative hypothesis : ![H_1 : \mu\neq140](https://tex.z-dn.net/?f=H_1%20%3A%20%5Cmu%5Cneq140)
∴ The hypotheses for a two-tailed test of the claimed potassium content:
H0: μ = 140 mg vs. H1: μ ≠ 140 mg