Answer:
The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.685
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 320 - 16 = 304 minutes
The upper end of the interval is the sample mean added to M. So it is 320 + 16 = 336 minutes
The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes
Answer:
4/12
Step-by-step explanation:
There is a 1 in 12 chance of any number being spun on the wheel. Because there are 4 numbers less than 5, there is a 4 in 12 chance of one of those numbers being spun.
i thibfergghgearsssgggga. dddyssxxv d xxx can find different
Okay, so the angle of K is 45° (180 - 135).
Draw a line that goes straight down from angle L and let's say that point is point Z. You can see that this triangle can be separated into two special triangles: the 45 45 90 triangle on the left (ΔLKZ) and the 30 60 90 triangle (ΔLMZ) on the right.
I don't know if you've learned this yet (just google them if you're confused): - for a 45 45 90 triangle the sides are x, x, and x√2. - for a 30 60 90 triangle the sides are x, 2x, and x√3.
Since we know that LM is 20√3, using the 30 60 90 trick, you can see that LZ is 10√3 and MZ is 30.
Next, since LZ is 10 sqrt(3), using the 45 45 90 trick, <em>KL is 10√6</em> and KZ is 10 sqrt(3). Therefore, KM = KZ + MZ = <em>10√3 + 30</em>
<u>The answer: KL is 10√6, KM is 10√3 + 30</u>
(I'm sorry it's such a long explanation, pictures would have been better)