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Lisa [10]
3 years ago
9

Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runners’ locations starting at 9:00 a.m.

Mathematics
2 answers:
Temka [501]3 years ago
7 0

Answer:

Who is at the trail start at 9:00 am? - Andy

Who runs fastest? - Caedin

When do Andy and Berta cross paths? - 9:08 am

Who is the closest to the 1.5 mile mark after 6 minutes? - Berta

Step-by-step explanation:

Andy starts at 0,0

Caedin runs the fastest

Andy and Berta cross paths at 8 minutes after the start time of 9:00 am, which is 9:08 am

At 6-minute, Berta is closest to the 1.5 mile mark because she is above Andy and Caedin.

Nostrana [21]3 years ago
4 0

Answers:

The graph is attached below. With this information we have to answer the questions:

1) Who is at the trail start at 9:00 a.m.?

Andy

According to the graph, at 9:00 a.m. Andy is at the point (0,0), which is the begining of the trail. Hence, he is at the trail start.

2) Who runs fastest?

Bertha

If we observe the slopes of each line; Bertha's slope has the least steep. This means she is displacing more in less time, than the other two runners.

3) When do Andy and Berta cross paths?

After 8 minutes, on mile 1.

According to the graph, exactly at the point (8,1), which is at 9:08 a.m. and in mile 1; is when the paths of both runners intercept each other.

4) Who is closest to the 1.5 mile mark after 6 minutes?

Bertha

As we see in the graph, at 9:06 a.m Bertha is closest to the 1.5 mile mark, since her line is closest to this point at that time.

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Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

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

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

In which

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The margin of error is:

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So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is \pi = 0.5

So

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

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0.001\sqrt{n} = 2.327*0.5

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A sample size of at least 1,353,733 is required.

5 0
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Answer:

A. x + 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

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<u>Step 2: Simplify</u>

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