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 :
Alternative hypothesis for two tail hypothesis has sign (≠).
i.e. Alternative hypothesis : 
∴ The hypotheses for a two-tailed test of the claimed potassium content:
H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Answer:
12 rolls
Step-by-step explanation:
Jason wants to cut roll into pieces that are each 1/2 inches thick. 1/2 is equal to 0.5, so thickness of each roll is 0.5 inches
Total length of the roll is 6 inches. We have to find how many small 0.5 inch rolls can he cut.
In simple words we can say that we have to find: how many 0.5 inches can be out from 6 inches. This type of problem is solved by division. Dividing 6 inches by 0.5 inches will give us: How many 0.5 inches can be cut out from 6 inches i.e. how many 0.5 inches roll can be made from 6 inches roll
6 divided by 0.5 is 12.
This means Jason can cut 12 rolls of sausages each with thickness of 0.5 inches from a roll of 6 inches.
Answer:
1) When r = 2, M = 20.
2) When M = 540, r = 6.
Step-by-step explanation:
M is a directly proportional to r cubed
This means that the equation for M has the following format:
In which a is a multiplier.
When r=4 M=160.
We use this to find a. So
So
1) work out the value of M when r=2
When r = 2, M = 20.
2) work out the value of r when M=540
![r = \sqrt[3]{216}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B216%7D)
When M = 540, r = 6.
"The square of x" means x^2, so we can eliminate options A and D.
"product of 8 and x" means that 8 and x are multiplied together (like 8x)
If x^2 is increased by 8x, we are adding x^2 and 8x together.
<span>B. x^2 + 8x</span>
