Answer:
The statement that "the margin of error was given as
percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval
; where
is likely to contain the true population percentage of people that prefer chocolate pie.
Step-by-step explanation:
The margin of error for proportions is given by the following formula:

Where:
is the critical value that corresponds to the confidence level; the confidence level being
,
is the sample's proportion of successes,
is the size of the sample.
In this exercise we have that
and that the margin of error is 0.05.
Therefore if we replace in the formula to calculate the confidence interval we get:

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).
Heather runs 7 miles in 80 minutes.
At the same rate, how many miles would she run in 64 minutes?
Let x represent miles would she run in 64 minutes?
Question Sets Up the Proportion
7/80= x/63 |Cross Multiplying to solve for x
x = 7*64/80
x = 5.6mi
Hope this helps!
What are you converting it to/from?
Answer:
the answer is 1
Step-by-step explanation:
Mult. the 2nd eqn by 6 and then add this "new" equation to the 1st given eqn:
-6x + y = -2
6x -18y = 54
--------------------
-17y = 52, or y = -52/17. Subst. this value of y into either equation to find the value of x.