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True [87]
3 years ago
12

Erica wants to know how many books on average are in school libraries in her county. She randomly calls 50 school libraries in h

er county and finds out how many books they have. She adds the number of books together and divides by 50. Her conclusion is there are an average of 18,000 books in a school library. Erica's conclusion is
Mathematics
2 answers:
Rus_ich [418]3 years ago
5 0
<span>valid. She used a representative sample
</span>because she correctly found the average and 18,000 is a reasonable number to get for a the problem
Svet_ta [14]3 years ago
5 0

Answer:

the answer is C. because Even though Erica only called 50 school libraries, this is a sufficient number. Erica’s conclusion is valid. She used a representative sample.

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Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co
anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5






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