Answer:
Sample size of 586 or higher.
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 
.
What sample size could be 95% confident that the estimated (sample) proportion is within 4 percentage points of the true population proportion?
Sample size of at least n when 
42.1% of women-owned businesses provided retirement plans contributions, which means that 
. So
We need a sample size of 586 or higher.
Let's call the original amount of money x.
We know that she has 2/5 of the original amount left, and that this is equal to $15.
Therefore, 2/5(x) = 15, and x = $37.50.
Answer:
The two expressions are equivalent, The value of both expressions when t = 5 is 32, and The value of both expressions when t = 3 is 24
Step-by-step explanation:
4 (3 + 3) = 4(3) + 12
4(6) = 12 + 12
24 = 24
4(5 + 3) = 4(5) + 12
4(8) = 20 + 12
32 = 32
Answer:
p + 45 < 89
Step-by-step explanation:
The sum of something is the result of addition so you know that they are adding p and 45 together. They then state that p plus 45 must be less than 89. You can show that by using the less than symbol "<"
If you want to find all of the different values that P could equal then all you have to do is subtract 45 from both sides so the equation would be
p < 44
this means that p can equal anything less than 44 for this statement to be valid. Hope this helped!
Answer:
Step-by-step explanation:
First, we establish the following:
- B, A and C are on the circle
- AC is a diameter
- The center of the circle is O
Therefore:
The inscribed angle theorem states that an angle inscribed in a circle is half of the central angle that subtends the same arc on the circle.
Therefore:
