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2 years ago

The graph represents a function.

Mathematics

1 answer:

vladimir2022 [97]2 years ago

5 0

(-5, 2) is the only point which we plot in given graph then it still represent a function.

<h3>What is Function?</h3>

A function is a special type of relation in which each and every element of set A have a unique image in its codomain set B.

Here, Given points on graph

{(-4, 2), (-2, -3), (2, 3), (3, -1)}

2 and -2 are already available in given ordered pair.

so only (-5, 2) is the only option which satisfies the definition of function.

Thus, (-5, 2) is the only point which we plot in given graph then it still represent a function.

Learn more about function from:

brainly.com/question/12431044

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The area of rectangular field is (49m2-42m+9).Find the dimensions of the field

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Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

$49 {m}^{2} - 42m + 9$

We need to factorize this expression.

Let us rewrite to obtain:

${(7m)}^{2} - 2(7 \times 3)m + {3}^{2}$

We can easily see that the expression is actually a perfect square trinomial.

This gives us:

$(7m - 3)^{2}$

$(7m - 3)(7m - 3)$

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3 years ago

Can someone help with explain how to do these, with formulas or techniques?

Otrada [13]

I hope this helps you

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3 years ago

Pls help One simple easy question

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Step-by-step explanation:

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3 years ago

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A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca

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The confidence interval for mean of the "before-after" differences is $\fbox{(-0.4037,1.8037)}$

Further explanation:

Find the difference between the before pain and the after pain.

Difference = before-after

Kindly refer to the Table for the difference of between the before and after pain.

Sum of difference = $5.6$

Total number of observation = $8$

Mean of difference = $0.7$

Sample standard deviation $s$ = $1.3201$

Level of significance = $5\%$

Formula for confidence interval = $\left( \bar{X} \pm t_{n-1, \frac{\alpha}{2}\%} \frac{s}{\sqrt{n}} \right)$

confidence interval = $\left( 0.7 \pm t_{8-1, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

confidence interval = $\left( 0.7 \pm t_{7, \frac{5}{2}\%} \frac{1.3201}{\sqrt{8}} \right)$

From the t-table.

The value of $t_{7, \frac{5}{2}\%$ = $2.365$

Confidence interval = $( 0.7 \pm 2.365}\times \frac{1.3201}{\sqrt{8}}) \right)$

Confidence interval = $\left( 0.7 - 2.365}\times \0.4667,0.7 + 2.365}\times \0.4667) \right$

Confidence interval = $(0.7-1.1037,0.7+1.1037)$

Confidence interval = $\fbox{(-0.4037,1.8037)}$

The $95\%$ confidence interval tells us about that $95\%$ chances of the true mean or population mean lies in the interval.

Yes, the hypnotism appear to be effective in reducing pain as confidence interval include includes the positive deviation from the mean.

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Answer Details:

Grade: College Statistics

Subject: Mathematics

Chapter: Confidence Interval

Keywords:

Probability, Statistics, Speed dating, Females rating, Confidence interval, t-test, Level of significance , Normal distribution, Central Limit Theorem, t-table, Population mean, Sample mean, Standard deviation, Symmetric, Variance.

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