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Gnesinka [82]
4 years ago
12

Round 8.631 to the nearest hundredth

Mathematics
1 answer:
Anestetic [448]4 years ago
5 0

Answer:

8.63

Step-by-step explanation:

When rounding if the number is less than five, you round down. If the number is greater than five, you round up.

So in this case, since we are working with rounding the hundredth place in the decimal 8.631 you would round down. So your answer would be 8.630 or simply 8.63

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(98 pts + Brainliest) Question regarding logarithims and point slope form
bezimeni [28]

You are right in thinking that the base of the logarithm doesn't matter. It only affects the spread of the data points if you were to plot them, but would not ultimately have any effect on the slope of the line (but it would on the y-intercept).

One major discrepancy I'm noticing is in the values you found for \ln\sin\theta. For example, if \sin\theta=0.05, then you should have \ln\sin\theta=\ln0.05\approx=-3.0. Not sure how you got -7.0, and the same goes for the rest of your table of values.

Another thing is that the provided solution suggests you take the average the first and last pairs of consecutive data points, and use these values in the slope formula to obtain the best-fit line's slope. If that's the case, then you should have

\dfrac{\Delta\ln x}{\Delta\ln\sin\theta}=\dfrac{\frac{1.86+1.72}2-\frac{2.65+2.28}2}{\frac{-5.4-5.3}2-\frac{-7.0-6.4}2}=\dfrac{1.79-2.47}{-5.35+6.7}=\dfrac{-0.68}{1.35}\approx-0.5

(i.e. you have to take the average of the given values, then use those averages in the \Delta expressions - but this doesn't significantly affect the slope you found)

Ultimately, I think the problem is that your expression for the slope appears to be \dfrac{\Delta\ln x}{\Delta\ln\sin\theta}, when the solution says it should be the reciprocal. I'm of the opinion that your slope is correct, since the experiment refers to \theta (and hence \sin\theta) as the independent variable, and so \Delta\ln\sin\theta would serve as the "run" and \Delta\ln x would serve as the "rise".

5 0
3 years ago
The nth term of a sequence is 20-n^2
Nimfa-mama [501]

Answer:

a) 20 - 3^2 = 11

b) 5th, 20 - 5^2 = -5

Step-by-step explanation:

The answer assumes your terms begin at 1. If the terms begin at zero

a) 16

b) 6th term

if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers

8 0
3 years ago
use the accompanying statcrunch session to obtain a simple random sample of 5 high schools in the city of chicago. loading... cl
svetoff [14.1K]

Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:

Brooks,  Hyde Park, Young Womens, Marshall, Noble - UIC.

<h3>What is the missing information?</h3>

The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.

<h3>What is population and sample?</h3>

  • Population: Collection or set of individuals or objects or events whose properties will be studied.
  • Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.

Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence one possible option is given by:

Brooks,  Hyde Park, Young Womens, Marshall, Noble - UIC.

More can be learned about sampling concepts at brainly.com/question/25122507

#SPJ1

7 0
2 years ago
What is up guys!
melisa1 [442]

Answer:

  • Yes, No, Yes

Step-by-step explanation:

<u>Use the Pythagorean theorem:</u>

  • a² + b² = c²

<u>Verify this for each line:</u>

1.

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  • 2809 = 2809
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2.

  • 33² + 56² = 64²
  • 4225 ≠ 4096
  • No

3.

  • 36² + 77² = 85²
  • 7225 = 7225
  • Yes
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3 years ago
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SVEN [57.7K]

Answer:

I think its distributive

Step-by-step explanation:

I'm not sure correct me if I'm wrong

7 0
3 years ago
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