43/9 and 24/9
Working
First rewrite the mixed numbers into improper fraction.
This gives:
43/9 and 8/3
Then find the lcm of the denominators of the fraction i.e 9 and 3
Express the fractions as x/lcm
This gives 43/9 and 24/9
Answer
0.0555 …
Step-by-step explanation:
Answer: The number is 3.
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Let n be the number.
If the number is multiplied by 10 and divided by 5 for the quotient to be 6, the equation would be set up like this:
10n/5=6
If we multiply both sides by 5, the equation will end up like this:
10n=30
To get the number, we need to divide each side by 10.
n=3
Therefore, the number is 3.
Answer:
The 80% confidence interval for the mean usage of water is between 18.4 and 18.6 gallons per day.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 18.5 - 0.1 = 18.4 gallons per day.
The upper end of the interval is the sample mean added to M. So it is 18.5 + 0.1 = 18.6 gallons per day.
The 80% confidence interval for the mean usage of water is between 18.4 and 18.6 gallons per day.
angle BDC is half of a parallelogram