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Reil [10]
2 years ago
11

Consider the given density curve.

Mathematics
1 answer:
Pavel [41]2 years ago
5 0

We want to find the median for the given density curve.

The value of the median is 1.

Let's see how to solve this.

First, for a regular set {x₁, ..., xₙ} we define the median as the middle value. The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.

Here, we have a constant density curve that goes from -1 to 3.

Because it is constant, the median will just be equal to the mean, thus the median is the average between the two extreme values.

Remember that the average between two numbers a and b is given by:

(a + b)/2

So we get:

m = (3 + (-1))/2 = 1

So we can conclude that the value of the median is 1, so the correct option is the second one, counting from the top.

If you want to learn more, you can read:

brainly.com/question/15857649

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a gardener is designing a circular garden. On the blueprint, the garden has a diameter of 16 centimeters. The blueprint has a sc
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Answer:

The actual area of the garden is 1256 square feet.

Step-by-step explanation:

Given:

A gardener is designing a circular garden.

On the blueprint, the garden has a diameter of 16 centimeters.

The blueprint has a scale of two centimeters to five feet.

Now, to find the actual area of the garden.

Let the actual diameter of the garden be x\ feet.

And the diameter of the garden on blueprint = 16\ centimeters.

As, given:

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2 centimeters is equivalent to 5 feet.

Thus, 16 centimeters is equivalent to x\ feet.

Now, to get the actual diameter by using cross multiplication method:

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Dividing both sides by 2 we get:

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<em>Thus, the actual diameter of the garden is 40 feet.</em>

Now, to get the area of the garden we get the radius and then put the formula of area:

Radius = \frac{Diameter}{2}

Radius(r)= \frac{40}{2}=20\ feet.

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