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Aleksandr [31]
4 years ago
8

Compare the repeating decimals shown with their equivalent fractions. Describe the pattern. 0.111...(repeating)= 1/9, −0.555...(

repeating)= −5/9, −1.222...(repeating)= −1 2/9, 5.888...(repeating)= 5 8/9
PLEASE SONEONE HELP ME!!!!!!!!!
Mathematics
1 answer:
Vlada [557]4 years ago
8 0

Answer:

The pattern in decimal expressions is that the decimal numbers are repeated immediately after the decimal point.

The pattern in the equivalent fraction is that 9 is on all fractions

Step-by-step explanation:

All the cases (0.111..., −0.555...,  −1.222... and 5.888...) are solving by the following procedure (only one example is shown):

x = 0.111111...

10x = 1.11111...

10x - x = 1.11111... - 0.111111...

9x = 1

x = 1/9

which is equivalent to express the decimal part as the tenth divided by 9. Then:

−0.555...= −5/9,

−1.222...(repeating)= −1 2/9,

5.888...(repeating)= 5 8/9

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If each customer takes 3 minutes to check out, what is the probability that it will take more than 9 minutes for all the custome
AnnyKZ [126]

Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

<h3>What is the discrete probability distribution?</h3>

Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:

  • P(X = 0) = 0.2;
  • P(X = 1) = 0.15;
  • P(X = 2) = 0.30;
  • P(X = 3) = 0.20;
  • P(X = 4) = 0.10;
  • P(X = 5) = 0.05;

Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:

P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.

0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

More can be learned about a discrete probability distribution at brainly.com/question/24855677

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2 years ago
Which of the following inequalities is true when x = 2?
Tom [10]

the option D.

x {}^{4}  < 3 {x}^{3}

4 0
3 years ago
Use y = 5x + 36 to find the value of x when y = 80.
xenn [34]

Answer:

If y = 80 then 5x+36 also equals 80

80 - 36 = 44

therefore 5x = 44

44 / 5 = 8.8

x=8.8

Step-by-step explanation:

3 0
3 years ago
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Answer:

Step-by-step explanation:

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Allowing 20 % discount on the marked price of an article and levying 15 % VAT. a buyer has to pay Rs 9.200 for the article. Find
nata0808 [166]

Answer:

here I'm confused that whether the selling price is Rs.9,200 or Rs.9.200

any ways you can take the help of below procedure

Step-by-step explanation:

here,

let marked price be X

discount(d)=20%

VAT=15%

SP with VAT= 9200

now,

SP without VAT= SP - VAT of SP

= 9200-15/100 ×9200

= 9200- 1380

=Rs. 1380

again,

SP= MP - D of MP

or,7820= x- 20/100 × x

or, 7820× 100 = 100x- 20x

or,782000=80x

or, 782000/80=X

or, X= 9775.

hence MP is Rs 9775

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