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Masteriza [31]
3 years ago
13

Juan bought 6 CDs that were each the same price. Including sales tax, he paid a total of $103.80. Of that total, $6.60 was

Mathematics
1 answer:
Travka [436]3 years ago
7 0

Answer: Each CD cost $16.20 before tax

Step-by-step explanation:

103.8 = 6.6 + 6c

c = CDs

103.8 -  6.6 = 97.2

97.2 = 6c

97.2/6 = 16.2

16.2 = c

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Answer:

$3.45

Step-by-step explanation:

17.25 divided by 5 is equal to 3.45

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3 years ago
An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t
erastova [34]

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
3 years ago
A recipe uses 1/3 cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?
Alenkinab [10]

Answer:

5/6 cups of sugar

Step-by-step explanation:

45 divided by 18 = 2.5

1/3 x 2.5 = 0.83

0.83 = 5/6 cups

3 0
3 years ago
Read 2 more answers
2x + 3(5x - 7) = 47<br> Please show steps
Marianna [84]

Answer:

x = 4.

Step-by-step explanation:

2x + 3(5x - 7) = 47

2x + 15x - 21 = 47

17x - 21 = 47

17x = 68

x = 68/17

x = 4.

6 0
3 years ago
Read 2 more answers
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