We have the following equation:

If we graph this equation we realize that in fact this is an ellipse with
major axis matching the y-axis. So we can recognize these characteristics:
1. Center of the ellipse: The midpoint C<span> of the line segment joining the foci is called the </span>center<span> of the ellipse. So in this exercise this point is as follows:
</span>
2. Length of major axis:
The line through the foci is called the major axis<span>, so in the figure if you go from -5, at the y-coordinate, and walk through this major axis to the coordinate 1, the distance you run is the length of the major axis, that is:</span>
3. Length of minor axis:
The line perpendicular to the foci through the center is called the minor axis. So in the figure if you go from -2, at the x-coordinate, and walk through this minor axis to the coordinate 2, the distance you run is the length of the minor axis, that is:
4. Foci:Let's find c as follows:

Then the foci are:

Answer:In 20 weeks they will have the same amount of money.
Step-by-step explanation:
Answer: Sylvia should use 35 pounds of Kona coffee and 65 pounds of Columbian coffee
Step-by-step explanation:
Let x represent the number of pounds of Kona coffee that Sylvia should use.
Let y represent the number of pounds of Columbian coffee that Sylvia should use.
Sylvia wants to mix 100 pounds of Breakfast Blend coffee. This means that
x + y = 100
She is using two types of coffee to create the mixture. Kona coffee sells for $51 per pound and Columbian coffee sells for $11 per pound and the mixture would sell for $25 per pound.
This means that
51x + 11y = 2500 - - - - - - - - 1
Substituting x = 100 - y into equation 1, it becomes
51(100 - y) + 11y = 2500
5100 - 51y + 11y = 2500
- 51y + 11y = 2500 - 5100
- 40y = - 2600
y = - 2600/-40
y = 65
x = 100 - y
x = 100 - 65 = 35
Answer:
i think it might be a or c
Step-by-step explanation:
because 12 =3
Answer:
a.[144;158]$
b. The parameter estimated is the population mean of the weekly expenses on the food of American families.
Step-by-step explanation:
Hello!
The study variable for this problem is "Weekly expenses on food spent by an American family"($)
For a sample n=1014 American families the corresponding sample mean is x[bar]=$151
It is stated that for the 95%CI the margin of error is ±$7
a.
The confidence interval that estimates the population mean is constructed as the "estimator ± margin of error" for example, under a Standard Normal distribution the formula for the confidence interval is:
[x[bar]±
*(δ/√n)]
For the sample taken it is:
[151±7]
The inferior limit is 144$
The superior limit is 158$
b.
The parameter estimated is the population mean of the weekly expenses on the food of American families.
The confidence level of an interval is the probability under which it is built. This probability indicates that if they build 100 confidence intervals, we expect 95 to contain the value of the population mean we are trying to estimate.
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