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vichka [17]
2 years ago
12

7.1 Pythagorean Theorem ​

Mathematics
1 answer:
nlexa [21]2 years ago
7 0
Lmk if u have any questions :)

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The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of m
UkoKoshka [18]

Answer:

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

X \sim N(14.7,3.7)  

Where \mu=14.7 and \sigma=3.7

Since the distribution of X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we have;

\mu_{\bar X}= 14.70

\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59

Step-by-step explanation:

Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of \bar X Round your answers to two decimal places.

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

X \sim N(14.7,3.7)  

Where \mu=14.7 and \sigma=3.7

Since the distribution of X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we have;

\mu_{\bar X}= 14.70

\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59

4 0
3 years ago
Which of the following appear in the diagram below?
NeTakaya

Answer: Please provide the diagram.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What number must you add to the expression below to complete the square? x^2-20x?
polet [3.4K]
We have that
x²<span>-20x
</span><span>Group terms that contain the same variable
</span>(x²-20x)
Complete the square 
(x²-20x+10²)------> (x-10)²

the answer is
the number must be 100
5 0
3 years ago
Jonah cut a piece of rope that was 4ft 7 inches long. How many inches is that?
hammer [34]

So as we know 1 feet = 12 inches. So we multiply 12 x 4 which is 48. Plus 7 is 55.

So the amount of inches that Jonah cut the piece of rope is 55 inches

mark me as brainliest if this answer is correct!!!

4 0
3 years ago
Jodi Poured herself a cold soda that had an initial temperature of 37°F and immediately went outside to sunbathe where the tempe
quester [9]
I'm pretty sure it's 50°f because the original temperature is 37°f and after 8 minutes it was 42°f and 42 minus 37 is 5, 8 divided by 5 is 1.6 and then multiply that by 5 is 8 and 42 + 8=50°F
6 0
3 years ago
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