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vivado [14]
3 years ago
11

You are shopping for carpet for your living room which measures 19 feet by 12 feet. Charlie's Carpets sells carpet for $18 per s

quare yard plus $2 per square yard for installation. This week Charlie's is giving 20% off the cost of the carpet only. Cindy's Carpet price is $18 per square yard installed, with a 10% sale. Where should you purchase your carpet and how much does it cost?
Mathematics
1 answer:
Kamila [148]3 years ago
4 0
----------------------------
Charlie's Carpets:
----------------------------
Carpet : $18/yd
Installation: $2/yd

Discount: 20% x $18 = 0.2 x 18 = $3.60
Carpet Price after discount = $18 - $3.60 = $14.40/yd²

Carpet Price with installation $14.40 + $2 = $16.40/yd²

----------------------------
Cindy's Carpet
----------------------------

Carpet = $18/yd²

Discount = 10% = 0.1 x $18 = $1.80
Price after Discount = $18 - $1.80 = $16.20/yd²

----------------------------
Summary:
----------------------------
Charlie's Carpet = $16.40/yd²
Cindy's Carpet = $16.20/yd²

CIndy's Carpet is cheaper.

----------------------------
Find Cost:
----------------------------
Length = 19 x 1/3 = 19/3 yards
Width = 12 x 1/3 = 4 yards

19/3 x 4 = 25 1/3 yd²

Cost = 25 1/3 x $16.20 = $410.40

------------------------------------------------------------------------------------
Answer: Cindy's Carpet is cheaper and it will cost $410.40.
------------------------------------------------------------------------------------

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3 years ago
A flash disk has the capacity of storing 1 megabyte of data. How many kilobytes of data can be stored in the same flash disk​
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For this sort of problem, you need to be familiar with prefixes.

So:

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and a regular byte would just be 1

Now, you will need to do a conversion:

1megabyte*\frac{1*10^6bytes}{1megabyte}*\frac{1*10^{-3}kilobyte}{1byte}

I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are 1*10^6 bytes!)

In the second fraction thought, remember one kilobyte is 1*10^3 bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do \frac{1kilobyte}{1*10^3bytes}, but I think it is more correct to do write it out how I did).

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The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%

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P(z < -1.66) = 0.0485

The probability that the mean of a sample of 106 randomly selected humans is lower than 98.5°F is 4.85%

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