Rope = 225 cm
Needed rope = 11/2m = (11/2) × 100 cm = 550cm
So, rope needed to be cut
= 550cm - 225cm
= 225cm
=225/100m
=2.25 m
Answer:
We need a sample size of 564.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

The margin of error is:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.
We need a sample size of n
n is found when 
So






Rounding up
We need a sample size of 564.
Answer:
0.8r
Step-by-step explanation:
r - 0.2r
= 1r - 0.2r ← factor out r from each term
= r(1 - 0.2)
= r × 0.8
= 0.8r
Take out the factor of 3 from both numbers
(69)/3 = 23
(12)/3 = 4
69 + 12 can be rewritten as 3(23 + 4)
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