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prohojiy [21]
3 years ago
11

Find the value of x.

Mathematics
1 answer:
Artemon [7]3 years ago
6 0
I believe it is 83 because a straight line is 180 degrees
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New York City is the most expensive city in the United States for lodging. The mean hotel room rate is per night (USA Today, Apr
kow [346]

Answer:

P(X

Step-by-step explanation:

Assuming a mean of $204 per night and a deviation of $55.

a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)?

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".  

Let X the random variable that represent the cost per night at the hotel, and for this case we know the distribution for X is given by:

X \sim N(204,55)  

Where \mu=204 and \sigma=55

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

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

We are interested on this probability

P(X>225)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>225)=P(\frac{X-\mu}{\sigma}>\frac{225-\mu}{\sigma})

=P(Z>\frac{225-204}{55})=P(Z>0.382)

And we can find this probability on this way:

P(Z>0.382)=1-P(Z

8 0
2 years ago
Find (f*g)(x) f(n)=2n; g(n)= -n-4
andreyandreev [35.5K]
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Find the midpoint of the segment with the following endpoints.<br> (10,2) and (5, -7)
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Answer:

(7.5 , -2.5)

Step-by-step explanation:

Sub the values into this formula

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3 years ago
Seven pizzas were ordered for a company lunch. During the lunch, 75% of the pizzas were eaten. If each pizza had 8 slices, how m
aleksandrvk [35]

Answer:

14 slices

Step-by-step explanation:

First, for simplicity, find the total number of slices.

7*8=56 slices

Now, multiply that by 75%, or .75.

56*.75=42 slices

Finally, to find the ones not eaten, subtract 42 from 56.

56-42=14 slices

4 0
3 years ago
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