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lubasha [3.4K]
3 years ago
8

Calculate the slope of the line on the graph

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

Answer:

3.5 (meters per second)

Step-by-step explanation:

To calculate the slope, we need two points. Let's see if we can select two points from the graph.

From the graph, we can pick out two possible points.

At the beginning, (0,2.5) is a valid candidate.

And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.

The slope formula is:

m=\frac{y_2-y_1}{x_2-x_1}

Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:

m=\frac{20-2.5}{5-0}

Simplify:

m=\frac{17.5}{5}\\ m=3.5

Thus, the slope is 3.5 meters per second.

Further notes:

And the entire equation will be:

m=3.5s+2.5

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We expect around 68.27% between the two scores provided.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

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Where \mu=16 and \sigma=4

We are interested on this probability

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And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

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And we can find this probability on this way:

P(-1

We expect around 68.27% between the two scores provided.

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3 years ago
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Answer:

The measure of the angles:

24°  and   66°

Step-by-step explanation:

Complementary angles sum 90°

then:

(3x + 3) + (10x-4) = 90

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13x - 1 = 90

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x = 7°

then:

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3x+3 = 3*7 + 3 = 21+3 = 24°

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Answer:

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Step-by-step explanation

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