Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).
We are given the <u>standard deviation for the samples</u>, hence, the t-distribution is used to solve this question.
The standard errors are given by:


For the distribution of differences, the <u>mean and the standard error</u> are given by:


The interval is given by:

The critical value for a <u>two-tailed 99% confidence interval</u> with 18 + 18 - 2 = <u>34 df</u> is t = 2.7284.
Then:


The 99% confidence interval for the difference is (0.058, 3.462).
For more on the t-distribution, you can check brainly.com/question/16162795
-- The filler pipe can fill 1/6 of the pool every hour.
-- The drainer pipe can drain 1/10 of the pool every hour.
-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.
-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties. The difference is (1/6) - (1/10).
To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.
1/6 = 5/30
1/10 = 3/30 .
So in every hour, 5/30 of the pool fills, and 3/30 of the pool empties.
The result of both at the same time is that 2/30 = 1/15 fills each hour.
If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.
If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours. With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted.
I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week. I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.
I hope this did not take place in California.
Answer:
110 degrees.
Step-by-step explanation:
Angles 2 and 3 are supplementary, and angles 8 and 7 are supplementary.
Angles 3 and 7 are equal.
If angle 8 is equal to 70 degrees, angle 3 is equal to 110.
Answer:

Step-by-step explanation:

We have the geometric sequence: 1, -2, 4, -8, ...
Find the common ratio:


substitute:

Substitute

to

