The standard deviation is a measure of a collection of values' variance or dispersion. The true mean bill for a customer at Burger Palace with 95% confidence is $13.38.
<h3>What is a standard deviation?</h3>
The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
Given that the Sample mean (
) is $14.30, the Sample size(n) is 24 customers, the Standard deviation(σ) is 2.30, while for a 95% confidence interval the Z-score is 1.960. Therefore, the true mean can be written as,
μ = 13.3788 ≈ 13.38
Hence, the true mean bill for a customer at Burger Palace with 95% confidence is $13.38.
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Answer:
x=-3/19
y=39/19
Step-by-step explanation:
the equations can be written as the following system
If the second equation is multiplied by 3/2 it will become -18x+3y=9
If that equation is then subtracted with the first you will obtain the following
-19x=3, it means x=-3/19
The other variable is obtained by substituting the new value for x in the first equationx+3y=6, thus we obtain that y=39/19
Answer:
Step-by-step explanation:
<u>Absolute value is always positive:</u>
<u>Their difference is:</u>
Correct choice is A
Answer:
Step-by-step explanation:
So we have the two functions:
And we want to find g(f(3)).
So, let's find f(3) first:
Multiply:
Subtract:
Therefore, we can substitute -1 for f(3):
Now, find g(-1):
Multiply:
Add:
And we're done!
So:
Answer:
A ∩ B = {12}
Step-by-step explanation:
What are the possible even outcomes?
Assuming the number cubes are 1-6,
our possible outcomes run from 2-12, but we are looking for even rolls, so A={2,4,6,8,10,12}.
How many of those are divisible by 3? B={12}.
We are looking for what is in common between these, so
A ∩ B= {12}
