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vivado [14]
2 years ago
15

10x=4.1with simplify

Mathematics
1 answer:
hram777 [196]2 years ago
7 0

Solve 10x = 4.1 for x.  Divide both sides of this equation by 10:  x = 4.1 / 10.

x = 0.41

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son4ous [18]
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
6 0
3 years ago
Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (13, 84) lies
erma4kov [3.2K]

Answer:

If P = (x,y) then formulas for each trigonometric functions are:

sin x = y/r

cos x = x/r

tan x = y/x

cot x = x/y

sec x = r/x

cosec x = r/y

where r = √(x²+y²).

First find r:

r = √(13²+84²)=√(169+7056)=√7225=85.

Then just substitute:

sin x = 84/85

cos x = 13/85

tan x = 84/13

cot x = 13/84

sec x = 85/13

cosec x = 85/84

3 0
3 years ago
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leonid [27]

Answer:

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Step-by-step explanation:

Just substitute  for n:-

first term ( when n = 1) =  2 * 2^(1-1)

= 2 * 1 =  2

4th term =  2 * 2^(4-1) =  16

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8 0
3 years ago
How many different lines of symmetry does a square have?
Sedaia [141]

Answer:

4

Step-by-step explanation:

8 0
1 year ago
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Maurinko [17]
Since we are using 3 sides of measurement and are looking for a volume, or a 3rd dimensional amount, the correct unit of measure is going to cm3, which is B.).
I hope this helps!
8 0
3 years ago
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