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Alla [95]
2 years ago
10

patricia wants to have her living room carpet cleaned she found three different companies that would clean the carpet for $198 t

he companies are each offering discounts on their carpet cleaning services
Mathematics
1 answer:
topjm [15]2 years ago
8 0

Answer:

company 1 final price: $148.5

company 2 final price: $168

company 3 final price: $132

thus, the best choice is company 3 because it costs the least and all services are the same

Step-by-step explanation:

company 1 is offering 25% off the price of their service

company 2 is offering $30 off the price of their service

company 3 is offering a 1/3 discount off the price of their service

the price of the cleaning is $198

company 1: 25% discount = 75% of the original price $198, which would be $198 * 3/4, or $148.5

company 2: $30 dollars off, which means $198 - $30 or $168

company 3: 1/3rd discount, meaning the product after the discount is only 2/3rd of the original price. 2/3rd of $198 is $132, so the final price after the discount is $132

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4 0
2 years ago
An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t
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Answer:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

\bar X=46.5 represent the mean

\sigma=1.1 represent the population standard deviation

n=150 sample size  

\mu_o =46.7 represent the value to verify

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:  

Null hypothesis:\mu = 46.7  

Alternative hypothesis:\mu \neq 46.7  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing we got:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

7 0
2 years ago
50 POINTS!! PLEASE ASAP. The director of a local ballet company needs to print the programs for the next performance. Janet’s Pr
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For this case we find the expression that represents the cost of each printing press.

x: Be the variable that represents the number of programs to print

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If we want to find the number of programs for which the costs are the same, then we equate both equations:

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Thus, for 150 programs the cost is the same.

Answer:

For 150 programs the cost is the same.

5 0
3 years ago
Read 2 more answers
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