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Genrish500 [490]
3 years ago
13

5. Lauren is saving for gymnastics camp, Camp costs $225 to attend. She has 40 percent of the money saved. How much money has sh

e saved?
Mathematics
1 answer:
barxatty [35]3 years ago
3 0
To solve this problem you have to convert the percentage to a decimal which would
be .40.

40% =40/100=.40


After doing so all you need to do is divide the amount needed by the percentage which gives you the amount she has saved.

225/.40= $90

Lauren has $90 saved
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Round to the nearest hundredth 9.8766
Levart [38]

Answer: 9.88

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6 0
3 years ago
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12x - 5 = 8x - x + 50<br> Help please show work and check the solution
Inga [223]

Answer:

x = 11

Step-by-step explanation:

12x - 5 = 8x - x + 50 \\ 12x - 5 = 7x + 50 \\ 12x - 5 - 7x = 7x + 50 - 7x \\ 12x - 7x - 5 = 50  \\ 5x - 5 = 50 \\ 5x - 5 + 5 = 50 + 5 \\ 5x = 55 \\ x = 11

and check:

12(11) - 5 = 8(11) - (11) + 50 \\ 132 - 5 = 77 + 50 \\ 127 = 127

3 0
3 years ago
In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour
Lesechka [4]

Answer:

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=54 represent the sample mean  

\mu population mean (variable of interest)

\sigma=21 represent the sample standard deviation

n=16 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.90 or 90%, the value of \alpha=1-0.9=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Now we have everything in order to replace into formula (1):

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

4 0
3 years ago
Pls follow the steps on the image
Darina [25.2K]

Answer:

-4

Step-by-step explanation:

7 0
3 years ago
How many copies of 1 twelfth are equivalent to 3 sixths? Help!
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Answer:

6/12 is equal to 3/6 ( 6 twelfths is equal to 3 sixths )

Step-by-step explanation:  

multiply both sides of 3/6 by 2 to get the same denominator, doing that will get you 6/12

3 0
3 years ago
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