Answer:
a) 
The 95% confidence interval would be given by (0.799;0.847)
b) 
And rounded up we have that n=622
c) 
And rounded up we have that n=1068
Step-by-step explanation:
Part a
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 95% confidence interval would be given by (0.799;0.847)
Part b
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=622
Part c
And rounded up we have that n=1068
If you would like to know what is the following expression in the simplest form, you can calculate it like this:
If you 24v / 3v divide by v, you will get 24 / 3. Now, if you divide 24 by 3, you will get 8.
The simplest form of 24v / 3v would be 8.
Answer:
1/29
Step-by-step explanation:
There are 29 students in total, and the students with blue eyes is only 1.
The fraction would be 1/29 and this is its simplest form.
The distance between the ships is 26.65.
<h3>How to illustrate the distance?</h3>
Based on the information given, after 3 hours, the distance of ship B will be:
= 20 + (17 × 3)
= 71.
A = 21 × 3 = 63
Well calculate the square root which will be:
A² + B² = 71² + 63²
= 5041 + 3969
= 9010
Therefore, ✓9010 = 94.92
Finally, the distance will be:
= (63 × 21) + (71 × 17) / 94.92
= (1323 + 1207)/94.92
= 26.65
Learn more about distance on:
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Answer:
627 pounds
Step-by-step explanation:
