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Iteru [2.4K]
3 years ago
5

If it takes 1074 digits to number the pages of a book starting with page 1. how many pages are in the book? The book has a total

of pages. ​
Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Answer:

  • 394 pages

Step-by-step explanation:

<u>1- digit numbers: </u>

  • 1 to 9, number of digits = 9

<u>2- digit numbers:</u>

  • 10 to 99, number of digits = 2(99 - 9) = 180

<u>3- digit numbers:</u>

  • 100 to 999, number of digits = 3(999 - 99) = 2700

This is more than we have, but we know the number of pages is 3-digit.

<u>Let it be x, then we have:</u>

  • 9 + 180 + 3(x - 99) = 1074
  • 3(x - 99) = 1074 - 189
  • 3(x - 99) = 885
  • x - 99 = 885/3
  • x - 99 = 295
  • x = 295 + 99
  • x = 394
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Please help me. i want to have this finished.
Anuta_ua [19.1K]
We know that y is equal to x-2. We can just substitute x-2 for y since y is equal to it. 

10x- 9(x-2)=24

Distribute.

10x- 9x+18= 24

x+18= 24

Subtract 18 on both sides.

x= 6

Now, plug in x.

y= (6)-2

y= 4

We can check this to see if this works:

4= 6-2, 4=4 

10(6)- 9(4)= 24

60-36= 24, 24=24

x=6 and y=4

I hope this helps!
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3 years ago
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8 0
3 years ago
Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from the Fretwell Building to the
Ray Of Light [21]

Answer:

E

Step-by-step explanation:

Solution:-

- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.

- The survey team took a sample of size n = 24 students and obtained the following results:

                Sample mean ( x^ ) = 12.3 mins

                Sample standard deviation ( s ) = 3.2 mins

- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

- The z-distribution is a function of two inputs as follows:

  • Significance Level  ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025

Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of  walking times is given below:

                      [ x^ - z-critical*s / √n  ,   x^ + z-critical*s / √n  ]

Answer:        [ 12.3 - 1.96*3.2 / √24  ,  12.3 + 1.96*3.2 / √24  ]

                   

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3 years ago
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madreJ [45]
6y^2-7y-3-2y^2+9y+7 (pretend that you're multiplying -1 to 2y^2-9y-7 which is why 9y and 7 are positive now).
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4 years ago
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