Answer: 185-red tiles
185-beige tiles
75-navy blue tiles
C u are multiplying 45 and a number, n
We want to find the median for the given density curve.
The value of the median is 4.5. ({3+6)/2}
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 3 to 6.
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 = (6 + 3)/2 = 4.5
So we can conclude that the value of the median is 4.5, so the correct option is the second one, counting from the top.
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Answer: Pigs = 21
Chicken = 45
Step-by-step explanation:
Let the pigs be represented by p
Let the chicken be represented by c.
From the question,
p + c = 66
4p + 2c = 174
4 × ( p + c = 66)
1 × (4p + 2c = 174)
4p + 4c = 264
- 4p + 2c = 174
2c = 90
c = 90/2 = 45
There are 45 chickens
Simce the farmer has a total of 66 animals, the number of pigs will be:
= 66 - 45
= 21 pigs
We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:
.
.
does not exist as 
.
<h3>How to determinate the limit in a piecewise function</h3>
In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.
According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:
- .
- .
- does not exist as .
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