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stiv31 [10]
2 years ago
14

"three food trucks are set up at points a, b, and c. each of the three trucks is the same distance from the food distributor. at

which point of concurrency is the food distributor located?"
Mathematics
1 answer:
jolli1 [7]2 years ago
3 0

Answer:

circumcenter

Step-by-step explanation:

Suppose the three food trucks points a,b,c are joined together in such a way that the form a triangle. The perpendicular bisectors of the triangle are concurrent . The point of concurrency is called <u>circumcenter.</u>

According to the circumcenter theorem the points ( vertices of the triangle  a,b,c) are equidistant from the center D ( point of concurrency) called the circumcenter.

As the food distributor is equidistant from each of the trucks it lies at the circumcenter point of concurrency.

The drawing is just a generalizations to give an idea. It does not show actual bisectors perpendicular.

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Answer:

He must survey 123 adults.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Assume that a recent survey suggests that about 87​% of adults have heard of the brand.

This means that \pi = 0.87

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How many adults must he survey in order to be 90​% confident that his estimate is within five percentage points of the true population​ percentage?

This is n for which M = 0.05. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}

0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}

\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2

n = 122.4

Rounding up:

He must survey 123 adults.

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Answer:

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Senn needs to give Ms. Beetle 18.4 minutes  head start

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Please find attached the required graph and table of values

Step-by-step explanation:

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5 × t₁ = 92 feet

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4 × (t₁ + 4.6) = 92 feet

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