1) The graph

The corresponding graph shows a growing curve, its shape is kind of the right half of a parabola that opens upward and starts at the point (0, 2500).

The vertical axis corresponds to C(j), it contains divisions of 2500 units, and are marked 2500, 5000, 7500, 10000, 12500, 15000 and 17500.

The horizontal axis corresponds to j, and the marks are 75, 150, 225, 300, 375, and 450.

2) Domain

Domain is the set of possible values for the independent variable, which is placed on the horizontal axis. This is the possible values of j.

They are all the positive numbers and zero, the the domain is:

All real numbers, j, such that j ≥ 0

3) Range

Range is the set of possible images (dependent variable); this is the possible values of C(j).

As you can see on the graph C(j) ≥ 2500

Then, the range is [2500, ∞).

3 0

3 years ago

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Write the following mixed decimal as a mixed number and reduce to the lowest term 17.46 92.004

emmasim [6.3K]

17.46 as a mixed number is 17 23/50.
92.004 as a mixed number would be 92 1/250

3 0

3 years ago

in a random sample of 28 people, the mean commute time to work was 31.2 minutes and the standard deviation was 7.3 minutes. assu

antoniya [11.8K]

Answer:

The margin of error of u is of 3.8.

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.7707

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.7707\frac{7.3}{\sqrt{28}} = 3.8$

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error of u is of 3.8.

The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes

The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

3 0

3 years ago