Answer:
n=1849
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
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 99% of confidence, our significance level would be given by and . And the critical value would be given by:
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)
Assuming that the proportion is estimated . And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1849
Answer:
5%
Step-by-step explanation:
Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.
0.05 × 100/100
= (0.05 × 100) × 1/100 = 5/100
The answer is 32 with a remainder of 8 but probably he would need 33 containers
COLLEGE is a 7 letter word.
here E and L will appear for two times so we will get denominator (2!*2!)
so,COLLEGE can be arranged in 7!/(1!*1!*2!*2!*1!)=1260
It is difficult to calculate the case when vowels don't come together so we will be going to calculate the opposite case when vowels do come together.
CLLG(OEE) =4+1 consider OEE as one letteer.
when vowels come together =(5!/2!)*(3!/2!)=180 (3!/2! is the arrangement of vowels total 3 vowels 3! and E repeats two times.)
vowels don't come together =1260-180=1080.
Hope this helps
I would say 75 feet per hour, though I am not 100% sure.
I first found the difference between hours (6-2 = 4) and then found the difference between distance (700 - 400 = 300). I then divided distance by hours and got 75.