1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex
3 years ago
11

New York City is one of the most expensive cities in the US for lodging. The mean hotel room rate is $244.00 per night; assume t

hat room rates are normally distributed, with the standard deviation of $55.00 What is the probability that a hotel room costs between $250.00 and $285.00?
Mathematics
1 answer:
Illusion [34]3 years ago
4 0

Answer:

22.96% probability that a hotel room costs between $250.00 and $285.00

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 244, \sigma = 55

What is the probability that a hotel room costs between $250.00 and $285.00?

This is the pvalue of Z when X = 285 subtracted by the pvalue of Z when X = 250. So

X = 285

Z = \frac{X - \mu}{\sigma}

Z = \frac{285 - 244}{55}

Z = 0.75

Z = 0.75 has a pvalue of 0.7734

X = 250

Z = \frac{X - \mu}{\sigma}

Z = \frac{250 - 244}{55}

Z = 0.11

Z = 0.11 has a pvalue of 0.5438

0.7734 - 0.5438 = 0.2296

22.96% probability that a hotel room costs between $250.00 and $285.00

You might be interested in
Jonathan took 33 pictures on the class trip and 67
Semenov [28]

Answer:

<em>JONATHAN WILL NEED 14 PAGES.</em>

Explanation:

<em>33 + 67 = 100</em>

<em>100 - 12 = 88</em>

<em>88 ÷ 6 = 14.6666667 </em>

<em>14.6666667 ⇒ </em><u><em>14</em></u>

<em>(Round 14.6666667 down to 14 because Johnathan does not have .6666667 of a page.)</em>

<em></em>

3 0
3 years ago
Special right triangles, find x and y
egoroff_w [7]

Answer:

The answer to your question is x = 17.32; y = 8.67

Step-by-step explanation:

Process

1.- Use trigonometric functions to find x and y

   a) sin Ф = \frac{opposite side}{hypotenuse}

      Ф = 60°

      opposite side = 15

      hypotenuse = ?

     hypotenuse = \frac{opposite side}{sin \alpha }

     hypotenuse = \frac{15}{sin 60}

     hypotenuse = \frac{15}{0.87}

            hypotenuse = 17.32

     b) cosФ = \frac{y}{hypotenuse}

         y = hypotenuse x cos 60

         y = 17.32 x 0.5

                y = 8.67

5 0
3 years ago
98% of the mules who were surveyed said the stubborness was a good trait. if 343 mules gave this response, how many were surveye
g100num [7]
350 mules because if you do the proportion
7 0
2 years ago
Joe went shopping yesterday. He saw a new Wii game that costs $55.00. It was on sale for 20% off. How much did Joe pay for the g
NikAS [45]

Answer:

the answer is 1100

Step-by-step explanation:

you will do... 5500*20/100

4 0
3 years ago
How to write a quadratic function when given the axis of symmetry?
shutvik [7]
<span>Are you from Connections Academy, public school or any other online school? Then join our discord, we help each other out with homework and just chill. discord. gg/ qZcMArh (make sure to remove the spaces) WE also have our own tutors that can help you! (if the discord link didn't work add ugly guy#1805 on discord. ( we're also a active group that requires a verified email to join due to trolls. It's not hard to do thankfully just go to discord app and sign up : ) |) Connections Academy Discord Online School Discord Homework Help Discord Connexus Discord Public School Discord Connections Discord Academy Discord Connections Academy Reddit Connexus Reddit Connexus Connections Academy Instagram Connections Academy Twitter Connexus homeschool discord homeschool reddit connections academy twitter connections academy discord</span>
3 0
3 years ago
Other questions:
  • What is 12 times 12 plus 1
    9·2 answers
  • : In Ms. Perron’s class, 40% of the students are boys. There are 10 boys in the class. What is the total number of students in M
    9·1 answer
  • If y varies directly as x and k = 8, find x when y = 8<br><br> 1. 1<br> 2. 8<br> 3. 64
    5·1 answer
  • Find cos theta! Please Help With Explanation! 25 points!
    8·1 answer
  • What is x? The degree of the angle of x
    6·1 answer
  • Please solve~I give brainliest!<br><br><br> 1. 2x-5&lt;1<br><br> 2. 3x+7&lt;16
    13·1 answer
  • Evaluate.<br> 7 x 8 = (5x )<br><br> (2*8)
    8·1 answer
  • X-y = -10 2x+4y=22 substitution
    7·1 answer
  • Help againnnnnnnnnnnnnnnnnnnnnnnnn
    7·1 answer
  • Cindy runs 13 blocks to the park and 13 blocks back home every day. If she does this 4 days, how many blocks will she run?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!