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2 years ago

Find the horizontal and vertical intercepts for

Mathematics

1 answer:

allsm [11]2 years ago

3 0

Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.

The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.

According to the question;

the r-axis is the horizontal axis.
the s-axis is the vertical axis.

Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).

i.e s = 0
the equation r⁴ + s² − r s = 16, then becomes;
r⁴ = 16
Therefore, r = ±2.

Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).

i.e r = 0.
the equation r⁴ + s² − r s = 16, then becomes;
s² = 16.
Therefore, s = ±4.

Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.

Read more:

brainly.com/question/18466425

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An important factor in selling a residential property is the number of times real estate, agents show a home. A sample of 21 hom

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Using the t-distribution to build the 99% confidence interval, it is found that:

The margin of error is of 3.64.

The 99% confidence interval for the population mean is (19.36, 26.64).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm t\frac{s}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

t is the critical value.

n is the sample size.

s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.

The other parameters are given as follows:

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The margin of error is given by:

$M = t\frac{s}{\sqrt{n}} = 2.086\frac{8}{\sqrt{21}} = 3.64$

Hence the bounds of the interval are:

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The 99% confidence interval for the population mean is (19.36, 26.64).

More can be learned about the t-distribution at brainly.com/question/16162795

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