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Liono4ka [1.6K]
3 years ago
8

A group of students wants to determine the favorite snack food at their school. They know they should use a sample because the s

tudent population at their high school is 5,000. What is the best way for them to get a random sample of 100 students?
Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0
To create a survey and hand them out to different students
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A parabola with the vertex at (1.5, 12.5) inscribes a segment of length 5 on x-axis. What is the area of the triangle formed by
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Answer:

  20 units²

Step-by-step explanation:

The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at

  1.5 ± 5/2 = {-1, 4}

Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...

  0 = a(4 -1.5)² +12.5

  0 = 6.25a +12.5 . . . . . simplify

  0 = a +2 . . . . . . . . . . . divide by 6.25

  -2 = a

Then the standard-form equation of the parabola is ...

  y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5

  y = -2x² +6x +8

This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...

  A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²

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3 years ago
300 hotdogs and hamburgers total. Hotdogs cost $2. Hamburgers cost $3. How many hamburgers? How many hotdogs?
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Answer:

Step-by-step explanation:

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