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2 years ago

Which fraction is equivalent to 0.3636...

Mathematics

2 answers:

NNADVOKAT [17]2 years ago

8 0

A = 0.363636 ...
a = 0.(36)
100a = 36.(36)
100a - a = 36.(36) - 0.(36)
99a = 36
$a=\frac{36}{99}\\\\ a=\frac{4}{11}$

storchak [24]2 years ago

4 0

3636/10000 hope this helps please give me brainliest :) '-'

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A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of 3

timofeeve [1]

Answer:

60 kilometers

Step-by-step explanation:

1 centimeter = 3 kilometers

20 × 3 = 60

5 0

2 years ago

Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the

Alexxandr [17]

Answer:

Step-by-step explanation:

The table can be computed as:

Advertising Expenses ($ million) Number of companies

25 up to 35 4

35 up to 45 19

45 up to 55 27

55 up to 65 16

65 up to 75 9

TOTAL 75

Let's find the probabilities first:

$P(25 - 35) = P \Big(\dfrac{25-50.93}{10.80}$

For 35 up to 45

$P(35 - 45) = P \Big(\dfrac{35-50.93}{10.80}$

For 45 up to 55

$P(45 - 55) = P \Big(\dfrac{45-50.93}{10.80}$

For 55 up to 65

$P(55 - 65) = P \Big(\dfrac{55-50.93}{10.80}$

For 65 up to 75

$P(65 - 75) = P \Big(\dfrac{65-50.93}{10.80}$

Chi-Square Table can be computed as follows:

Expense No of Probabilities(P) Expe $(O-E)^2$ $\dfrac{(O-E)^2}{E}$

compa cted E (n*p)

nies (O)

25-35 4 0.0612 75*0.0612 = 4.59 0.3481 0.0758

35-45 19 0.2218 75*0.2218 = 16.635 5.5932 0.3362

45-55 27 0.3568 75*0.3568 = 26.76 0.0576 0.021

55-65 16 0.2552 75*0.2552 = 19.14 9.8596 0.5151

65-75 9 0.0839 75*0.0839 = 6.2925 7.331 1.1650

$\sum \dfrac{(O-E)^2}{E}= 2.0492$

Using the Chi-square formula:

$X^2 = \dfrac{(O-E)^2}{E} \\ \\ Chi-square \ X^2 = 2.0942$

Null hypothesis:

$H_o: \text{The population of advertising expenses follows a normal distribution}$

Alternative hypothesis:

$H_a: \text{The population of advertising expenses does not follows a normal distribution}$

Assume that:

$\alpha = 0.02$

degree of freedom:

= n-1

= 5 -1

= 4

Critical value from $X^2 = 11.667$

Decision rule: To reject $H_o \ if \ X^2$ test statistics is greater than $X^2$ tabulated.

Conclusion: Since $X^2 = 2.0942$ is less than critical value 11.667. Then we fail to reject $H_o$

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2 years ago

Is 0.069 less than 0.07

Nuetrik [128]

Yes, 0.069 is less than 0.07~

First, we compare the "one" place: 0 = 0.

Second, we compare the "tenth" place: 0 = 0.

Next, we compare the "hundredth" place: 6 < 7.

Because 6 < 7, 0.069 < 0.07 as a result~

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2 years ago

Which is the equation in Point-slope form of the line with a slope of 2 and passing thru the point (2,1)

KIM [24]

Answer:

y - 1 = 2(x - 2)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

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y₁ - y coordinate
m - slope

Step-by-step explanation:

Step 1: Define

Slope m = 2

Point (2, 1)

Step 2: Write Equation

Substitute in variables: y - 1 = 2(x - 2)

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stepladder [879]

Answer:

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2 years ago