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Kisachek [45]
2 years ago
14

Select the best answer for the question.

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
7 0

       Upon asking I got the rest of the information needed to answer this question.

-> Which one becomes a repeating decimal?

Your answer is D. 1/9.

       1/9 = 0.111111111111111111111111111111111 ... or 0.1 repeating. It can be written with a line over the 1 asyou can see in the attached.

       This means that D is the answer to your question.

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New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night (USA Today
Simora [160]

Answer:

a) 0.3520 = 35.20% probability that a hotel room costs $225 or more per night.

b) 0.1038 = 10.38% probability that a hotel room costs less than $140 per night.

c) 0.4878 = 48.78% probability that a hotel room costs between $200 and $300 per night.

d) $251.

Step-by-step explanation:

Problems of normally distributed samples are 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 = 204, \sigma = 55

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

This probability is 1 subtracted by the pvalue of Z when X = 225. So

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

Z = \frac{225 - 204}{55}

Z = 0.38

Z = 0.38 has a pvalue of 0.6480.

1 - 0.6480 = 0.3520

0.3520 = 35.20% probability that a hotel room costs $225 or more per night.

b. What is the probability that a hotel room costs less than $140 per night (to 4 decimals)?

This probability is the pvalue of Z when X = 140. So

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

Z = \frac{140 - 204}{55}

Z = -1.16

Z = -1.16 has a pvalue of 0.1038.

0.1038 = 10.38% probability that a hotel room costs less than $140 per night.

c. What is the probability that a hotel room costs between $200 and $300 per night (to 4 decimals)?

This probability is the pvalue of Z when X = 300 subtracted by the pvalue of Z when X = 200. So

X = 300

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

Z = \frac{300 - 204}{55}

Z = 1.75

Z = 1.75 has a pvalue of 0.9599.

X = 200

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

Z = \frac{200 - 204}{55}

Z = -0.07

Z = -0.07 has a pvalue of 0.4721.

0.9599 - 0.4721 = 0.4878

0.4878 = 48.78% probability that a hotel room costs between $200 and $300 per night.

d. What is the cost of the 20% most expensive hotel rooms in New York City?

This is X when Z has a pvalue of 1-0.2 = 0.8. So X when Z = 0.84

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

0.84 = \frac{X - 204}{55}

X - 204 = 0.84*55

X = 250.2

Rounding to the next dollar.

$251.

4 0
3 years ago
I need major help !!
Rama09 [41]

Answer:

44 degrees

Step-by-step explanation:

The sides are even so there gonna be the same all around...please give brainlist!

6 0
3 years ago
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What is a square root?
nikklg [1K]

Answer:

a number which produces a specified quantity when multiplied by itself.

Step-by-step explanation:

6 0
3 years ago
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What is -2x + 3y = 15 in slope intercept form
garik1379 [7]

slope intercept form

y=mx+b

-2x+3y=15

add 2x to each side

3y =2x+15

divide by 3

y = 2/3 x+5

7 0
3 years ago
What does 3,146 round to nearest thousand
Lisa [10]
3 is in the thousands
so the answer is 3000
4 0
3 years ago
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