Answer:
2/5 or 40% of a bottle.
Step-by-step explanation:
A bottle can hold 5 milliliters of perfume. You only have 2 milliliters. Divide 2 with 5:
(2/5)(20/20) = 40/100 = 0.40 = 40%
~
Yes, because it still have 3 sides.
Rewrite the decimal number as a fraction with 1 in the denominator
0.225=0.22510.225=0.2251
Multiplying by 1 to eliminate 3 decimal places, we multiply top and bottom by 103 = 1000
0.2251×10001000=2251000
Answer:
a) A sample size of 5615 is needed.
b) 0.012
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 
.
The margin of error is:
99.5% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015.
This is n for which M = 0.015.
We have that 
A sample size of 5615 is needed.
(b) Using the sample size above, when the sample is actually contacted, 12% of the sample say they are not satisfied. What is the margin of the error of the confidence interval?
Now 
.
We have to find M.
Answer:
1/30
Step-by-step explanation:
6 white marbles
5 red marbles
+ 19 marbles of other colors
-----------------------------------------------
30 marbles in total
First drawing:
p(white) = (number of white marbles)/(total number of marbles)
p(white) = 6/30 = 1/5
Second drawing:
Since the first marble is replaced, there are still 30 marbles in the bag.
p(red) = (number of red marbles)/(total number of marbles)
p(red) = 5/30 = 1/6
The two drawings are independent events, so the overall probability of the two events is the product of the individual probabilities.
p(white then red) = p(white) × p(red)
p(white then red) = 1/5 × 1/6
p(white then red) = 1/30
