Answer:
1 or 2
Step-by-step explanation:
8x + 4x < 36
the number x could either be 1 or 2
Answer:

Step-by-step explanation:
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".
In order to find the critical value we need to take in count that we are finding the critical value for the population mean and without the standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. We need to calculate the degrees of freedom are given by:

We can find the critical value using the following excel codes:
"=T.INV(0.025;38)" or "T.INV(1-0.025;38)"
And the critical values would be given by:

Answer:
Step-by-step explanation:
Given that X is uniform in the interval (0,A)
X is continuous since it represents the distance
A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), we should find where the station be located so as to minimize the expected distance from the fire
Distance can be taken as absolute values here as either side is the same.
E(|x-a|] is to be minimum
E(|x-a|)=E(x-a) for 0<x<a
=E(a-x), for a<x<A
Using integral we find this value


Using calculus we find that f" is positive so when f' =0 we get solution
f'(a) =0 gives

Hence fire station to be located at the mid point of 0 and A
Answer:
Step-by-step explanation:
Hope it helps! :)