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.
The answer is; 24/75 of the entire cake remained
If 2/5 of the initial cake was eaten, the 3/5 is what remained
MInu ate 1/3 of the 3/5 = 3/15
3/5 – 3/15 = 6/15 remained
Her brother ate; 1/5 of 6/15 = 6/75
6/15 – 6/75 = 24/75 remained
For this case we observe that the dimensions of the original piece are:
3 feet
2.5 feet
Let's multiply these dimensions by a scale factor k:
3 * k
2.5 * k
We match the new dimensions with their respective values:
3 * k = 6
2.5 * k = 5
Clearing k we have:
k = 6/3 = 2
k = 5 / 2.5 = 2
Since the value of k is the same, then the pieces are similar.
Answer:
The pieces are similar.
The ratio of their corresponding side lengths is:
k = 2
Using the concept of odd and even functions, it is found that the functions are classified as follows:
1. Even.
2. Odd.
3. Neither.
4. Odd.
<h3>What are odd and even function?</h3>
- If f(x) = f(-x), the function is even.
- If f(x) = -f(-x), the function is odd.
- If none of the statements above are true, the function is neither.
For the square function, we have that:
- f(-x) = (-x)² = x² = f(x).
Hence it is even. The square root function is defined only for non-negative values, hence it is neither odd nor even.
For the cube function, we have that:
- f(-x) = (-x)³ = -x³ = -f(x).
Hence it is odd, as is the cube root, as the cube root function is defined for all real values.
More can be learned about odd and even functions at brainly.com/question/24410059
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Answer:
24
Step-by-step explanation: