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Studentka2010 [4]
3 years ago
5

In 2010 Singapore welcome 11600000 overseas visitors.This value has been rounded off to the nearest 100000.What are the largest

and smallest possible numbers of overseas visitors?
Mathematics
1 answer:
spayn [35]3 years ago
7 0

Answer:

The largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

Step-by-step explanation:

The number 11,600,000 was rounded off to the nearest 100,000.

This means that either 0 or 1 was added to the figure with place value of 100,000.

It would be zero (0) in the case where the number after the 100,000th placed value number is lower than 5 and it would be one (1) in the case where the number after the 100,000th placed value is greater than or equal to 5.

Therefore, the largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

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Stolb23 [73]

Answer:

<em>0° and 18°</em>

Step-by-step explanation:

3tan²β - tanβ = 0

tanβ(3tanβ - 1) = 0

tan β = 0 ⇒ \beta _{1} <em>= 0°</em>

3tan β - 1 = 0 ⇒ tan β = \frac{1}{3} ⇒ \beta _{2} = arctan ( \frac{1}{3} ) ≈<em> 18°</em>

8 0
3 years ago
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The Coast Starlight Amtrak train runs from Seattle to Los Angeles. The mean travel time from one stop to the next on the Coast S
Goshia [24]

Solution :

a).

Given :

R = 0.636, $S_x = 99$, $S_y=113, M_x=108, M_y=129$

Here R = correlation between the two variables

        $S_x , S_y$ =  sample standard deviations of the distance and travel time between the two train stops, respectively.

      $M_x, M_y$ = means of the distance and travel between two train stops respectively.

The slope of the regression line is given by :

Regression line, b_1  $=R \times \left(\frac{S_y}{S_x}\right)$

                            $=0.636 \times \left(\frac{113}{99}\right)$

                            = 0.726

Therefore, the slope of the regression line b_1 is 0.726

The equation of the regression line is given by :

$\overline {y} = b_0+b_1 \overline x$

The regression line also has to pass through the two means. That is, it has to pass through points (108, 129). Substituting these values in the equation of the regression line, we can get the value of the line y-intercept.

The y-intercept of the regression line $b_0$ is given by :

$b_0=M_y-(b_1 \times M_x)$

  = 129 - (0.726 x 108)

  = 50.592

Therefore, the equation of the line is :

Travel time = 20.592 + 0.726 x distance

b).\text{ The slope of the line predicts that it will require 0.726 minutes} for each additional mile travelled.

The intercept of the line, $b_0$ = 0.529 can be seen as the time when the distance travelled is zero. It does not make much sense in this context because  it seems we have travelled zero  distance in 50.529 minutes, but we could interpret it as that the wait time after which we start travelling and calculating the distance travelled and the additional time required per mile. Or we could view the intercept value as the time it takes to walk to the train station before we board the train. So this is a fixed quantity that will be added to travel time. It all depends on the interpretation.

c). $R^2=0.404$

This means that the model accounts for around 40.4% variation in the travel time.

3 0
3 years ago
6 - 2x = 6x = 10 + 6
Natalija [7]

Answer:Simplifying

6 + -2x = 6x + -10x + 6

Reorder the terms:

6 + -2x = 6 + 6x + -10x

Combine like terms: 6x + -10x = -4x

6 + -2x = 6 + -4x

Add '-6' to each side of the equation.

6 + -6 + -2x = 6 + -6 + -4x

Combine like terms: 6 + -6 = 0

0 + -2x = 6 + -6 + -4x

-2x = 6 + -6 + -4x

Combine like terms: 6 + -6 = 0

-2x = 0 + -4x

-2x = -4x

Solving

-2x = -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.

-2x + 4x = -4x + 4x

Combine like terms: -2x + 4x = 2x

2x = -4x + 4x

Combine like terms: -4x + 4x = 0

2x = 0

Divide each side by '2'.

x = 0

Simplifying

x = 0

Step-by-step explanation:

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never [62]

a) Given :

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We can convert 9/51 in simplest fraction by dividing top and bottom by 3.

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3 years ago
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vodomira [7]

Answer:

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Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

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Length of the rectangle = (x+4)

Width of the rectangle = (x-2)

Area of the rectangle =Length * Width

⇒(x+4)(x-2)=x^2-2x+4x-8

⇒x^2+2x-8          ...equation  (ii)

Equating both the equation as area of both the figure are equal.

⇒ x^2+2x-8=x^2

⇒ 2x-8=0     ...subtracting x^2 both sides

⇒ 2x=8           ...dividing both sides with 2

⇒ x=\frac{8}{2}=4 inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒(x+4)=(4+4)=8

So the length of the rectangle = 8 inches.

4 0
3 years ago
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