The sample proportion has an approximately normal distribution, with the mean being the population mean and the standard deviation (i.e. the standard error of the sampling proportion) equal to
SE = sqrt(p*q/n) where p is the population proportion q is 1-p, and n is the sample size.
<span>(Typically, for a confkdence interval, the sample proportion and its complement are substituted for p and q.) </span>
The margin of error will be Zc*SE, where Zc is the critical value of Z for the level of confidence required. The confidence interval, then, will be the sample proportion, plus or minus the margin of error.
For a 90% confidence interval, Zc is 1.645.
<span>So the margin of error is 1.645 * sqrt(.9*.1/400), roughly .025. So your confidence interval would be around [.875, .925]
The best and most correct answer among the choices provided by your question is the second choice or letter C which is 3%.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.</span>
1 cup of oil would equal up to 8 fluid ounces
The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
<h3>How to determine the possible length of the third side?</h3>
To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
Read more about Triangle inequality theorem at:
brainly.com/question/2403556
Answer:
a. 3.2 cm
b. 6.25 km
Step-by-step explanation:
a.
(4 km)/(5 km) = 0.8
4 km is 0.8 of 5 km, so in the map it is 0.8 of 4 cm.
0.8 * 4 cm = 3.2 cm
Answer: 3.2 cm
b.
(5 cm)/(4 cm) = 1.25
5 cm is 1.25 times 4 cm, so it represents 1.25 * 5 km.
1.25 * 5 km = 6.25 km
Answer: 6.25 km
