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2 years ago

The function f(x) is shown on the graph.

Mathematics

1 answer:

Sever21 [200]2 years ago

7 0

The value of f(0) is 12.

<h3>What is graph?</h3>

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

By considering the graph we have to find f(0) which means we have to find that point where x- coordinate is zero.

Also, which shows that 12 the function f(x)

So, taking the point is (0,12) we can get f(0)= 12.

Learn more about this concept here:

brainly.com/question/16608196

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3 years ago

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3 years ago

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You have a balance of $4,600 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40.

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2 years ago

Travel time data is collected on an arterial. With 30 runs, an average travel time of 152 seconds is computed over the 2.0 miles

o-na [289]

Answer:

The 95% confidence bounds is $145.80 < \mu < 158.19$

It was not necessary to make any assumption about the shape of the travel time distribution

Step-by-step explanation:

From the question we are told that

The sample size is n = 30

The sample mean is $\=x = 152$

The standard deviation is $\sigma = 17.3 \ second$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96 * \frac{17.3 }{\sqrt{30} }$

=> $E = 6.19$

Generally 95% confidence bounds is mathematically represented as

$\= x -E < \mu < \=x +E$

=> $152 -6.19 < \mu < 152 -6.19$

=> $145.80 < \mu < 158.19$

This 95% confidence bounds show that there is 95% confidence that the true mean lies within this bound hence there is it was not necessary to make any assumption about the shape of the travel time distribution

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3 years ago