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bixtya [17]
3 years ago
9

Explain the purposes of inductive and deductive reasoning in mathematics. Be sure to define both inductive reasoning and deducti

ve reasoning and describe how each can help you develop and prove theorems.
Mathematics
2 answers:
Maru [420]3 years ago
8 0

When it comes to deductive reasoning, it is used to reach a logical solution. You start out with the general statement, or hypothesis, and examine all the possibilities so you can reach the final conclusion.

Inductive reasoning is completely opposite - you focus on specific observations, and then make broad generalizations.  


Read more on Brainly.com - brainly.com/question/971917#readmore

Scrat [10]3 years ago
8 0
<span>Inductive reasoning is used when finding or forming a conjecture. 
Deductive reasoning is used to prove a conjecture. 
In math we usually start with a conjecture and then prove it using deductive reasoning. </span>
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Hope this helps!

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From a random sample of 92 male students at Hope College, 8 were left-handed. Using the Theory Based Inference applet, determine
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2 years ago
Suppose that the population of the scores of all high school seniors who took the SAT Math (SAT-M) test this year follows a Norm
Vlad1618 [11]

Answer:

Confidence =1-\alpha=1-0.01=0.99

And then the confidence level would be given by 99%

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

X \sim N(\mu, \sigma)

The distribution for the sample mean is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\bar x =512 represent the sample mean

\sigma=100 represent the population standard deviation

n= 100 sample size selected.

The confidence interval is given by this formula:

\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}   (1)

The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:

Me=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}

25.76=z_{\alpha/2} \frac{100}{\sqrt{100}}

And we can find the critical value z_{\alpha/2} like this:

z_{\alpha/2}=\frac{25.76(\sqrt{100})}{100}=2.576

And we know that on the right tail of the z score =2.576 we have \alpha/2 of the total area. We can find the area on the right of the z score using this excel code:

"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998=\alpha/2, so then \alpha=0.00498*2=0.009995 \approx 0.01, and then we can find the confidence like this:

Confidence =1-\alpha=1-0.01=0.99

And then the confidence level would be given by 99%

8 0
3 years ago
Can someone please answer all the questions with explanations?
aalyn [17]

Answer:

I don't know sorry can't help you

6 0
2 years ago
Read 2 more answers
I need help in solving this problem (ASAP)
zhannawk [14.2K]

Answer:

The answer is y=24

Step-by-step explanation:

The <u>triangle is a 30-60-90 triangle</u>, which means that the it follows the <em>respective ratio of x:x</em>\sqrt{3}<em>:2x. </em>Since we know that the 30 degree value is 8\sqrt{3}, we can establish that the 60 degree value is 8\sqrt{3}*\sqrt{3} = 24.

4 0
3 years ago
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