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Shtirlitz [24]
3 years ago
8

Mark has to travel a distance of 400 miles. He travels at a speed of 50 miles per hour. The function f(x) = 400 − 50x represents

the distance he has to travel after x hours. Identify the graph that describes this function and its intercepts. What does each intercept represent?
Mathematics
2 answers:
puteri [66]3 years ago
8 0

Answer:

you need a diagram for this question

sergejj [24]3 years ago
8 0

Answer:

x-intercept: 8; the number of hours

y-intercept: 400; distance to be covered

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Answer:

24

Step-by-step explanation:

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Area of a triangle = 1/2 x ( base x height)

1/2 x (6 x 8) = 24 ft²

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3 years ago
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weqwewe [10]
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If a light bulb manufacturing company wants to​ estimate, with 99​% ​confidence, the mean life of compact fluorescent light bulb
Reptile [31]

Answer:

We need at least 217 compact fluorescent light bulbs

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many compact fluorescent light bulbs need to be​ selected?

We need at least n bulbs, in which n is found when M = 175, \sigma = 1000

So

M = z*\frac{\sigma}{\sqrt{n}}

175 = 2.575*\frac{1000}{\sqrt{n}}

175\sqrt{n} = 2575

\sqrt{n} = \frac{2575}{175}

\sqrt{n} = 14.71

\sqrt{n}^{2} = (14.71)^{2}

n = 216.5

We need at least 217 compact fluorescent light bulbs

4 0
3 years ago
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exis [7]

Answer:

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