Answer:
2695.04348
Well, I don't want to do ALL of the work but I'll give you an idea of how I got it:
First, ask yourself, "How many times does 23 go into 61?" which is the same thing as 61 divided by 23.
23 times 2 equals 46. I chose this number because 23 times 3 equals 69 and that is too much.
(The first digit is 2)
So 61 minus 46 equals 15. Then you bring down the 9 and divide 159 by 23.
23 times 6 is 138 and the closest you will get. Again, 159 minus 138 equals 21.
(Now the second digit of the answer is 6)
Bring down the 8 to get 218. 218 divided by 23 equals 9 (well, not exactly, but you get what I mean). 23 times 9 equals 207. 218 minus 207 equals 11.
(Don't forget, the third digit in the answer is now 9)
Keep doing this until you get your final answer, which I already gave you at the top to double check. When you reach the last number of 61,986 (which is 6), go into the decimal place and keep on working from there.
Answer:
4.75% probability that the line pressure will exceed 1000 kPa during any measurement
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the probability that the line pressure will exceed 1000 kPa during any measurement
This is 1 subtracted by the pvalue of Z when X = 1000. So



has a pvalue of 0.9525
1 - 0.9525 = 0.0475
4.75% probability that the line pressure will exceed 1000 kPa during any measurement
Answer:
<h2>radius = 9.77 yards</h2>
Step-by-step explanation:
Since the pool is circular
Area of a circle = πr²
where
r is the radius
From the question
Area = 300 square yards
To find the radius substitute the value of the area into the above formula and solve for the radius
That's
300 = πr²
Divide both sides by π
We have

Find the square root of both sides
That's

r = 9.7720502
We have the final answer as
<h3>radius = 9.77 yards</h3>
Hope this helps you