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Anton [14]
1 year ago
11

During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly normally

distributed with a mean of $131.80 and a standard deviation of $29.12. a travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. what is the probability that their average cost will be more than $150
Mathematics
1 answer:
Mkey [24]1 year ago
4 0
<span>Population mean (u) = $131.80 Standard deviation (sd) = $29.12 Sample number (n) = 15 Sample mean = $150 Using Z score formula.. Z = (150 - 131.80)/ (29.12)/15^1/2 Z = 2.420 Area under the curve (alpha) with Z = 2.420 = 49.22 In percentage Alpha = 0.4922 Probability = 1-Alpha Probability = 1- 0.4922 = 0.5078</span>
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Nadiya determines that there are no fractions equivalent to 2/10 with a denominator greater than 10, but less than 20, that have
frosja888 [35]

Answer:

Yes, Nadiya is correct. By multiplying the numerator and denominator by 2, the first fraction equivalent to 2/10 is 4/20.

Step-by-step explanation:

To find a fraction equivalent to 2/10, we need to multiply (or divide) the numerator and denominator by the same nonzero whole number.

As we need an equivalent fraction with a denominator greater than 10, we will need to multiply and not divide.

The first nonzero whole number we have is 1. If we multiply the numerator and denominator by 1, we get 2/10. Obviously, 2/10 is equivalent to 2/10 but the denominator is not greater than 10, so it doesn't help us.

The next whole number is 2. When we multiply the numerator and denominator by 2, we get 4/20. The denominator is not less than 20.

If we keep going, we will get 6/30, 8/40 and so on.  

Therefore, Nadiya is correct.

The correct answer is the first one.

8 0
2 years ago
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30 POINTS! Monica paid sales tax of $1.50 when she bought a new bike helmet. if the sales tax rate was 5%, how much did the stor
avanturin [10]
Hmm... well, here ya go. 

1.50 ÷ 0.05 = 30 
So, the total is $30 
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Hope I helped.  
6 0
1 year ago
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One of your employees has suggested that your company develop a new product. You decide to take a random sample of your customer
iren [92.7K]

Answer:

269

Step-by-step explanation:

The margin of Error is E = 0.05

The level of significance is, α = 1 - confidence level = 1 - 0.9 = 0.1

Assume that the proportion is, p =0.5

From the standard normal table, observe that the critical value of Z for two tail test and 10% level of significance is 1.64

The calculation of sample size is as follows: n = (Z/E)²p(1-p)

n = (1.64/0.05)²0.5 (1 - 0.5)

n = (1.64/0.05)² 0.25

n = 1075.84 × 0.25

n = 268.96 ≈ 269

The required sample size with the given margin of error approximately is 269. This value indicates the size of the customers who are using this company’s products.

6 0
2 years ago
Joseph's math teacher challenges him to estimate the height of a pine tree next to the
xxTIMURxx [149]

Answer:

im not good at math

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Josefina works between 10 and 30 hours per week at a pizzeria. She earns $6.50 an hour, but can earn tips when she delivers pizz
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a, 6.50h=d

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