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Goshia [24]
3 years ago
11

Derek is writing a report on cell phone usage. He collects data from a random sample of seventh graders in his school, and finds

that 16 out of 20 seventh graders have cell phones. If there are 290 seventh graders in his school, estimate the number of seventh graders that have cell phones.
Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0

Answer: 232

Step-by-step explanation:

Use the ratio and cross multiply to find answer. 16/20=4/5 of 290 Multiply 4x290=1160 then divide by 1160÷5 =232

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

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On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

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Step-by-step explanation:

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