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1 year ago

Express 0.555... as a fraction in simplest form

Mathematics

2 answers:

Vika [28.1K]1 year ago

6 0

Answer:

111 /200

Step-by-step explanation:

0.555 × 1000 / 1 × 1000 = 555/1000

when reduced to fraction the answer is 111/200

cestrela7 [59]1 year ago

5 0

Answer:

0.40404040.

Step-by-step explanation:

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so basically your graph is |x| shifted 5 to the right and 4 down. this means that k would be -5 (since the shift is the k value times negative one), and b would be 4. therefore y = | x - (-5) | -5, which is equivalent to C

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Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation? {–11, –1} {–11, 1} {11, –1} {11, 1} ,

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Since quadratic coefient is 1 (term in front of x^2)
take 1/2 of linear cofient (12) and square it
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add that to both sides
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I think is C

Step-by-step explanation:

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Find the correlation coefficient of the line of best fit for the points (-3,-40), (1,12), (5,72), (7,137). Explain how you guy y

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Answer:

r = 0.9825; good correlation.

Step-by-step explanation:

One formula for the correlation coefficient is

$r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{n\left [\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}$

The calculation is not difficult, but it is tedious.

1. Calculate the intermediate numbers

We can display them in a table.

x y xy x² y²

-3 -40 120 9 1600

1 12 12 1 144

5 72 360 25 5184

7 137 959 49 18769

Σ = 10 181 1451 84 25697

2. Calculate the correlation coefficient

$r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}\\\\= \dfrac{4\times 1451 - 10\times 181}{\sqrt{[4\times 84 - 10^{2}][4\times25697 - 181^{2}]}}\\\\= \dfrac{5804 - 1810}{\sqrt{[336 - 100][102788 - 32761]}}\\\\= \dfrac{3994}{\sqrt{236\times70027}}\\\\= \dfrac{3994}{\sqrt{16526372}}\\\\= \dfrac{3994}{4065}\\\\= \mathbf{0.9825}$

The closer the value of r is to +1 or -1, the better the correlation is. The values of x and y are highly correlated.

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1 year ago