Answer:
Option D (7, -3)
Step-by-step explanation:
We know that the general equation of an ellipse has the form:

Where the point (h, k) are the coordinates of the center of the ellipse
In this case the equation of the ellipse is:

Then

So The coordinates of the center of the ellipse are (7, -3)
Answer:
33250
Step-by-step explanation:
Pedro had earned a gross income of 35200 last year.
So, the gross income of Pedro for the current year will also be 35200.
But, this year he has taken the standard deduction of 5450.
Hence, his current year's income will be reduced to (35200-5450)= 29750.
Again, in the current year, he got an exemption of 3500.
Therefore, the net taxable income of Pedro for the current year will become (29750+3500) =33250. (Answer)
The residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.
<h3>What is residual value?</h3>
The residual value is the estimated value which is calculated for the end of the lease terms for a fixed asset.
Points and their residual values are shown in the table. A 3-column table with 5 rows.
- x 1, 2, 3, 4, 5.
- y 2, 3.5, 5, 6.1, 8.
- Residual Value -0.4, 0.7, -0.2, -0.6 0
The simple regression line can be represented as,

Here α is the constant, β is the slope and <em>e </em>is the residue.
The point which is farthest from the best fit of the line is 3.5. At y=3.5, the value of residue is 0.7.
Thus, the residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.
Learn more about the residual value here;
brainly.com/question/1168961
The relative frequency of female mathematics majors will be 0.5142.
<h3>How to find the relative frequency?</h3>
The proportion of the examined subgroup's value to the overall account is known as relative frequency.
A sample of 317 students at a university is surveyed.
The students are classified according to gender (“female” or “male”).
The table is given below.
Then the relative frequency of female mathematics majors will be
⇒ 36 / (36 + 34)
⇒ 36 / 70
⇒ 0.5142
Learn more about conditional relative frequency here:
brainly.com/question/8358304
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1.5 because 2/12=1/6 9 x (1/6) =1.5 gallons of water.