It would be the first one (x,-y) because say for example you take the point of v1 (4,-1) and reflect across x axis you get (4,1) for v
<span>
<span>We can
use the Pythagorean Theorem (A² + B² = C²) to solve for the lengths of the
sides. We know that the diagonal, C, is 30 meters long, so C² = 900 meters.
We know that since the park is square, A² + B² = 2A² = 2B²
900 = 2A²
A^2 = 450
Taking the square root of 450, we find that the lengths of A and B are
roughly 21.2 meters.</span>
</span>
Answer:
n = 66.564
Step-by-step explanation:
- Because the population is unknown, we will apply the following formula to find the sample size:
![n= (\frac{zS}{E} )^{2}](https://tex.z-dn.net/?f=n%3D%20%28%5Cfrac%7BzS%7D%7BE%7D%20%29%5E%7B2%7D)
Where:
z = confidence level score.
S = standard deviation.
E = error range.
2. We will find each of these three data and replace them in the formula.
"z" theoretically is a value that measures how many standard deviations an element has to the mean. For each confidence level there is an associated z value. In the question, this level is 99%, which is equivalent to a z value of 2.58. To find this figure it is not necessary to follow any mathematical procedure, it is enough to make use of a z-score table, which shows the values for any confidence interval.
The standard deviation is already provided by the question, it is S = 100.
Finally, "E" is the acceptable limit of sampling error. In the example, we can find this data. Let us note that in the end it says that the director wishes to estimate the mean number of admissions to within 1 admission, this means that she is willing to tolerate a miscalculation of just 1 admission.
Once this data is identified, we replace in the formula:
![n=(\frac{(2.58)(100)}{1} )^{2}](https://tex.z-dn.net/?f=n%3D%28%5Cfrac%7B%282.58%29%28100%29%7D%7B1%7D%20%29%5E%7B2%7D)
3. The corresponding mathematical operations are developed:
![n=(\frac{258}{1} )^{2}](https://tex.z-dn.net/?f=n%3D%28%5Cfrac%7B258%7D%7B1%7D%20%29%5E%7B2%7D)
![n= (258)^{2}](https://tex.z-dn.net/?f=n%3D%20%28258%29%5E%7B2%7D)
n= 66.564
Parabolas, hyperbolas, eclipses, and circles are all types of C)Conic Sections