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.
If you want to learn more, you can read: brainly.com/question/26559908
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Answer:
(h,k) = (-1,5)
Step-by-step explanation:
(x + 1)² + (y - 5)² = 16
comparing it with (x - h)² + (y - k)² = r²
we get,
(h,k) = (-1,5)
and r = 4
Answer:
Inequality:
Inequality solved:
The graph is attached.
Step-by-step explanation:
You need to remember the meaning of the inequalities symbols:
: Less than.
: Greater than.
: Less than or equal to.
: Greater than or equal to.
Let be "x" the number of more songs Carlotta can download.
According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol .
Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:
In order to solve it, you must subtract 10 from both sides:
Plot this result on a number line.
Since the symbol of the inequality is , the dot must be filled (Observe the number line attached).
Answer:
y ≈ 4.63
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
y = 1/8x
x = 37
<u>Step 2: Evaluate</u>
- Substitute: y = 1/8(37)
- Multiply: y = 37/8
- Divide: y = 4.625
- Round: y ≈ 4.63
And we have our final answer!
Answer:
h(4) = 3
f-1(-3) = - 1
Step-by-step explanation:
One
h(x) = 2x - 5
h(4) = 2*4 - 5
h(4) = 8 - 5
h(4) = 3
Two
Let y = f(x)
y = 5x + 2 Interchange x and y
x = 5y + 2 Subtract 2 from both sides
(x - 2) = 5y Divide by 5
(x - 2)/5 = y
but y = f'(x)
so f(x) = (x - 2)/5
f-1(-3) = (-3 - 2) / 5
f-1(-3) = -5/5
f-1(-3) = - 1