Answer:
A: H0: p = 0.27; Ha: p > 0.27
Step-by-step explanation:
The parameter is the population proportion.
According to the survey conducted by the American Academy of Periodontology, the proportion of of US adults who admit they lie to their dentist about how often they floss their teeth is 27%.
This means the null hypothesis is :

Periodontist Dr. Garcia believes that the percentage seems low, so his claim is that the percentage should be more than 27%.
This means, the alternate hypothesis is

Therefore the correct choice is A.
Answer:

Step-by-step explanation:
The point-slope formula is
. When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute
,
, and
for real values.
1) First, find
, or the slope. Use the slope formula
and substitute the x and y values of the given points. Then, solve:

Therefore, the slope of the line is -10.
2) Now, substitute the needed real values into the point-slope formula,
. Since
represents the slope, substitute -10 in its place. Since
and
represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:

Answer:
540 pages
Step-by-step explanation:
100 pages = 50 mins
??? pages = 270 mins (converted 4hrs 30 mins to minutes)
Now you could cross multiply to find what the number of pages are:
100 pages x 270 mins = 50 mins x ??? pages
27000 = 50 mins x ??? pages
27000/50 = ??? pages
540 = ??? pages
So there are 540 pages in his favourite book.
1/4= 3/12 so it would be 5/12-3/12= 2/12
2/12= 1/6
Answer: 278.30 pounds (if the gasoline does not contain ethanol)
317.12 pounds (if the gasoline does contain ethanol)
Step-by-step explanation:
If the truck averages 12 miles per gallon, then in 170 miles it consumes:
170mi/12mi = 14.17 gallons.
We know that for one gallon consumed, the carbon dioxide emitted into the atmosphere is 19.64 pounds. (assuming it does not contain ethanol)
Then for 14.17 gallons consumed, we have a emission of:
14.17*19.64 pounds = 278.30 pounds
I the gasoline contains ethanlol, for a gallon the emiision is around 22.38 pounds.
In this case the total emission is:
14.17*22.38 pounds = 317.12 pounds