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3 years ago

Realiza la siguiente operación 4/3 (5/7 -9/2

Mathematics

1 answer:

sineoko [7]3 years ago

3 0

Answer:

4 3/9 - 2 7/9 = 14/

= 1 5/

≅ 1.5555556

Step-by-step explanation:

Conversion a mixed number 4 3/

to a improper fraction: 4 3/9 = 4 3/

= 4 · 9 + 3/

= 36 + 3/

= 39/

To find new numerator:

a) Multiply the whole number 4 by the denominator 9. Whole number 4 equally 4 * 9/

= 36/

b) Add the answer from previous step 36 to the numerator 3. New numerator is 36 + 3 = 39

c) Write a previous answer (new numerator 39) over the denominator 9.

Four and three ninths is thirty-nine ninths

Conversion a mixed number 2 7/

to a improper fraction: 2 7/9 = 2 7/

= 2 · 9 + 7/

= 18 + 7/

= 25/

To find new numerator:

a) Multiply the whole number 2 by the denominator 9. Whole number 2 equally 2 * 9/

= 18/

b) Add the answer from previous step 18 to the numerator 7. New numerator is 18 + 7 = 25

c) Write a previous answer (new numerator 25) over the denominator 9.

Two and seven ninths is twenty-five ninths

Subtract: 39/

- 25/

= 39 - 25/

= 14/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-nine ninths minus twenty-five ninths = fourteen ninths.

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Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

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z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

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$n = 864, \pi = \frac{426}{864} = 0.493$

Then, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526$

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at brainly.com/question/25890103

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Answer:

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Step-by-step explanation:

Puzzle 1:

The first rule takes out 301

The second rule has to have a 1 in the units place so that takes out 3.1, 3.101, and 30.1

The 3rd rule takes out 1.01, and 1.03

Rule 4, is self explanatory, so it takes out 31.3

and the last rule takes out 31.1 bc there is no hundredths column

That leaves you with 31.01

Puzzle 2:

Rule 1 takes out 18180

Rule 2, self explanatory, takes out 180

Rule 3 takes out numbers less than 18 so 1.81 and 0.18

Rule 4 takes out 18.01, 1800, 188, and 18.8

That leaves you with 180.8

Puzzle 3:

Rule 1 takes out 0.24, 0.5, and 2.02

Rule 2 takes out 0.15

Rule 3 takes out 0.02, 0.01 and 0.1 (bc it just says greater than and not equal to so it takes this one out)

Rule 4 takes out 0.12

That leaves you with 0.2

Puzzle 4:

Rule 1 takes out 45000

Rule 2 takes out 5401, 5444, and 4544

Rule 3 takes out 5454

Rule 4 does not take out any because all the remaining numbers ( 14500, 15501, 14534, and 10500) have 5 hundreds

Rule 5 takes out 14500, 14534, and 10500

That leaves you with 15501

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3 years ago

Realiza la siguiente operación 4/3 (5/7 -9/2​

Realiza la siguiente operación 4/3 (5/7 -9/2