Answer:
We need a sample of at least 1797 if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.3% of the population percentage.
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:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
In this problem, we have that:
How large a sample is needed if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.3% of the population percentage?
We have to find n for which 
. So
We need a sample of at least 1797 if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.3% of the population percentage.
1 hour = 60 minutes.
2 hours 20 minutes = 2 *60 + 20 = 120 + 20 = 140 minutes
Answer:
(x - 1)(x + 1)(x + 3).
Step-by-step explanation:
x^3 + 3x^2 - x - 3 Factor by grouping:
= x^2(x + 3) - 1(x + 3) x+3 is common .
= (x^2 - 1)(x + 3) x^2 - 1 is the difference of 2 squares.
= (x - 1)(x + 1)(x + 3).
The expanded binomial is 2x^3+3y^2=7
<u>Step-by-step explanation</u>:
- The binomial is not shown in correct expansion. It is written in the wrong format. There is a general format for the binomial expansion.
- The first term should have the highest power. So 2x power 3 will come first. The second term will have power lesser than the first term.
- So in the second term, 3y^2 will be placed. After that, the equal to = operator will be placed. Finally, the value of the expression will be placed.
- So the expanded correct form is 2x^3+3y^2=7
One pound= 16 ounces
2 x 16 = 32 ounces = 2 pounds
2/5 can also be expressed in decimal form as .4
so 32 x .4 = 12.8
and then 3/10 also is .3
so 32 x .3 = 9.6
add the two 12.8 + 9.6 = 22.4
