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ladessa [460]
3 years ago
13

what is the minimum force required to prevent a ball weighing 24 lb from folling down a ramp which is inclined 27.2 degrees with

the horizontal?
Mathematics
1 answer:
Virty [35]3 years ago
8 0
Minimum force = mg sin(27.2) = 24 * 32.2 * 0.4571 = 353.25 lb ft/s²
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There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}
When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
Now we can find confidence intervals:
($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
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Exponential decay is a very common process especially when we are talking about radioactive materials. So, there is already a common formula for this type of behavior which is written below:

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3 years ago
The value of Q is given by the relation Q = 17m. If Q and m are integers with Q greater than 150 and less than 160, then which o
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Answer: Value of m = 9

Step-by-step explanation:

Given that the relationship between Q and m is;

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Answer:

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Step-by-step explanation:

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