Alberto is setting now for boards of lumber the length of the boards are 4.5 feet 4.52 feet and 4 feet and four. 555 feet or did
1 answer:
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Answer:
4 papers
Step-by-step explanation:
You know that the final amount of paper needs to be 3 ft long, but each paper is only 9 in.
In order to solve this, you first would convert everything into the same units. This is technically called "dimensional analysis", but in this case, it's just simple multiplication.
Since I prefer to keep everything in whole numbers, I'm converting 3 ft into inches.
You start with your given number:
3 ft
Then multiply by the conversion factor. The units need to cancel out until you have the end goal.
×
= 36 in
So as you can see, since there is a "ft" on top, and on the bottom, they'd "cancel out", leaving you with inches (and the numbers, of course).
That's the drawn out version of converting 3 ft into 36 inches.
Now that you know how much total paper you need, you can just divide that by the length of each paper.
36 inches / 9 inches = 4.
You need 4 pieces of paper.
Also, the dimensional analysis is almost useless for this kind of problem, but it becomes important in more complicated conversions you would use in Chemistry, or AP Environmental Science. I hope this helps!
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