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LenaWriter [7]
3 years ago
8

What is the total number of digits required in numbering the pages of a book, which has 1,724 pages?

Mathematics
2 answers:
Eduardwww [97]3 years ago
8 0

Answer:

5,789 digits

Step-by-step explanation:

1 digit numbering from page 1-9

That is 9 pages×1 digit=9 digits

2 digit numbering from page 10 to 99

That is 90 pages × 2 digits=180 digits

3 digit numbering from page 100 to 999

That is 900 pages× 3 digits=2,700 digits

4 digits numbering from page 1000 to 1,724

That is 725 pages × 4 digits

=2,900 digits

Total digits=9 digits+ 180 digits+2,700 digits+2,900 digits

=5,789 digits

Alex Ar [27]3 years ago
7 0

Answer:

5789 digits

Step-by-step explanation:

Given that the number of pages ares: 1,724  

As we know that:

  • (from 1 - 9) there are 9 one-digit numbers
  • (from 10- 99) there are 90 two-digit numbers
  • (from 100 - 999) there are 900 three-digit numbers
  • (from 1,000 - 1,724) there are 725 four-digit numbers

So the total are:

= 9(1)+90(2)+900(3)+725(4)\\\\= 9+180+2,700+2,900\\\\= 5,789\ digits

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a. none of these answers

Data provides sufficient evidence, at 1% significance level, to support the expert's claim. In addition the p-value (or the observed significance level) is equal to P( T >3.281)

Step-by-step explanation:

Data given and notation  

\bar X=13.5 represent the mean height for the sample  

s=3.2 represent the sample standard deviation for the sample  

n=9 sample size  

\mu_o =10 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 10 years, the system of hypothesis would be:  

Null hypothesis:\mu \leq 10  

Alternative hypothesis:\mu > 10  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{13.5-10}{\frac{3.2}{\sqrt{9}}}=3.28    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=9-1=8  

Since is a one side right tailed test the p value would be:  

p_v =P(t_{(8)}>3.281)=0.00558  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can't conclude that we have a mean higher than 10 years at 1% of significance.  

a. none of these answers

3 0
3 years ago
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Multiply both sides by -2: k=6.

We won't want k to be 6.

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