Answer:
Hey there!
50-43+(6x8)-9+3
50-43+48-9+3
7+48-9+3
46+3
49
Let me know if this helps :)
Answer:
( x + 2 )² + ( y - 4 )² = 36
Step-by-step explanation:
Standard equation of a circle - ( x - h )² + ( y - k )² = r²
where r = radius and center is at ( h , k )
The given center is ( -2 , 4 )
Thus h = -2 and k = 4
and the given radius is 6
Thus, r = 6
that being said, we plug in the given values into the standard equation
( x - ( - 2 )² + ( y - 4 )² = 6²
Finally we simplify
In - ( -2 ) the two negative signs cancel out and it turns into + 2
6² = 36
The final equation of the circle is ( x + 2 )² + ( y - 4 )² = 36
There is a relationship between confidence interval and standard deviation:
Where
is the mean,
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:
When we do all the calculations we find that:
Now we can find confidence intervals:
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
A.
Mice are small and kilograms are for much larger objects. The other two measurements are for liquids.
The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3
Let's check all functions.
1. The function f(x)=x²<span>+2x when evaluated with 3 gives you the value of 3:
Evaluated with x means that</span> x = 3.
f(3) = 3² + 2 * 3 = 9 + 6 = 15
15 ≠ 3, so, this is not correct.
2. f(x)=x²<span>-3x when evaulated with -3 give you the value of 3
Evaluated with -3 means that x = -3.
(f-3) = (-3)</span>² - 3 * (-3) = 9 + 9 = 18
18 ≠ 3, so, this is not correct.
3. f(x)=x²<span>+2x when evaluated with -3 gives you the value of 3
</span> Evaluated with -3 means that x = -3.
f(-3) = (-3)² + 2 * (-3) = 9 - 6 = 3
3 = 3, so this is correct.
4. f(x)=x²-3x when evaluated with -3 gives you the value of 3
Evaluated with 3 means that x = 3.
f(3) = (3)² - 3 * 3 = 9 - 9 = 0
0 ≠ 3, so this is not correct.