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Anton [14]
3 years ago
6

The distance between Vancouver and Winnipeg is approximately 1850 km in a straight line. The distance on a map is 3.7 cm. Write

a scale statement for the map. What scale factor was used to make the map.
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0
3.7cm on the map represents 1850km in reality

3.7cm : 1850km

1cm : 1850/3.7 km

1cm : 500km

Scale statement for map is :          1cm : 500km.

That is 1cm on map represents 500km.

1cm : 500km.       Recall 1km = 1000m = 100 000cm

1cm : 500* 100000cm

1cm : 50 000 000cm

1: 50 000 000.

Scale factor is 50 000 000.   
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Answer:

x = -4 ;

Step-by-step explanation:

6(x+3)=2(2x+5)

Distribution

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Subtract 4x on both sides

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Subtract 18 on both sides

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Now if we have to substitute the value of X

6(-4+3)=2(-8+5)

Parenthesis first

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Len [333]

Answer:

33

Step-by-step explanation:

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3 years ago
Sara lost 12 pounds over the summer by jogging each week. By winter time she had gained 4 3/8 pounds. Represent this situation w
Vika [28.1K]

The situation with an expression involving signed numbers is w - 12 + 4 3/8 and the overall change in Sara’s weight is -7 5/8 pounds

<h3>Represent this situation with an expression involving signed numbers. </h3>

Let Sara's initial weight be w.

The given parameters are:

Lost = 12 pounds

Gain = 4 3/8 pounds

The situation with an expression involving signed numbers is represented as:

Weight = Initial - Lost + Gain

So, we have:

Weight = w - 12 + 4 3/8

<h3>What is the overall change in Sara’s weight?.</h3>

In (a), we have:

Weight = w - 12 + 4 3/8

The overall change is:

Change = - 12 + 4 3/8

Evaluate

Change = -7 5/8

Hence, the overall change in Sara’s weight is -7 5/8 pounds

Read more about sum and difference at:

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3 0
2 years ago
4.48 Same observation, difference sample size: Suppose you conduct a hypothesis test based on a sample where the sample size is
Lemur [1.5K]

Answer:

P-value is lesser in the case when n = 500.

Step-by-step explanation:

The formula for z-test statistic can be written as

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } } =\frac{(x-\mu)\sqrt{n}}{\sigma}

here, μ = mean

σ= standard deviation, n= sample size, x= variable.

From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.

We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.

Now, for  first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore,  the P-value will be lesser in the case when n = 500.

6 0
3 years ago
What is the radius of a sphere with a volume of 12,348 π cubic feet?
vova2212 [387]

Answer:

Radius = 21

Step-by-step explanation:

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(12,348 * 3)/ 4 = radius^3

9261 = radius^3

radius = \sqrt[3]{9261}

radius = 21

5 0
3 years ago
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