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stealth61 [152]
3 years ago
14

An event manager recorded the number of people in different age groups that attended a music concert.

Mathematics
2 answers:
earnstyle [38]3 years ago
7 0

Answer:

its B

Step-by-step explanation:

i took the test

kramer3 years ago
4 0

Answer:D

Step-by-step explanation:

so the bins are 18-24, 25-31, 32-38, and 39-45.

the order is 20, 40, 120, and 80.

So if you match them up you get:

18-24 20

25-31 40

32-38 120

39-45 80

The only answer with all of those is D

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4. Find the standard from of the equation of a hyperbola whose foci are (-1,2), (5,2) and its vertices are end points of the dia
Ad libitum [116K]

The <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

<h3>How to find the standard equation of a hyperbola</h3>

In this problem we must determine the equation of the hyperbola in its <em>standard</em> form from the coordinates of the foci and a <em>general</em> equation of a circle. Based on the location of the foci, we see that the axis of symmetry of the hyperbola is parallel to the x-axis. Besides, the center of the hyperbola is the midpoint of the line segment with the foci as endpoints:

(h, k) = 0.5 · (- 1, 2) + 0.5 · (5, 2)

(h, k) = (2, 2)

To determine whether it is possible that the vertices are endpoints of the diameter of the circle, we proceed to modify the <em>general</em> equation of the circle into its <em>standard</em> form.

If the vertices of the hyperbola are endpoints of the diameter of the circle, then the center of the circle must be the midpoint of the line segment. By algebra we find that:

x² + y² - 4 · x - 4 · y + 4= 0​

(x² - 4 · x + 4) + (y² - 4 · y + 4) = 4

(x - 2)² + (y - 2)² = 2²

The center of the circle is the midpoint of the line segment. Now we proceed to determine the vertices of the hyperbola:

V₁(x, y) = (0, 2), V₂(x, y) = (4, 2)

And the distance from the center to any of the vertices is 2 (<em>semi-major</em> distance, a) and the semi-minor distance is:

b = √(c² - a²)

b = √(3² - 2²)

b = √5

Therefore, the <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

To learn more on hyperbolae: brainly.com/question/27799190

#SPJ1

5 0
1 year ago
The Demand function for a product is given by:
VikaD [51]

Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b) - f(a)}{b - a}

In this question:

D(q) = -0.0003q^2 - 0.04q + 23.56

What is the average rate of change of Demand between 40 and 175 units sold?

a = 40, b = 175. So

D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48

D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725

So

A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

3 0
3 years ago
Write as an equation: If a number is decreased by five, and then the result is multiplied by two, the result is 26.
kvasek [131]

Answer:

18

Step-by-step explanation:

Because when 18-5=13 x 2=26

5 0
2 years ago
Which step is it?? Please help me.
eduard

Answer:

Use PEMDAS so division would be the first step

Step-by-step explanation:

1)Parentheses

2)Exponents

3)Multiplication

4)Division

5)Addition

6)Subtraction

6 0
3 years ago
Look at the coordinate plane below.
dybincka [34]

Answer:

K (-3,-7)    A (-4,1)   O (-5,5)  T (-7,2)    

Step-by-step explanation:

All of these have the x as the lesser value

8 0
2 years ago
Read 2 more answers
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