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2 years ago

Which conic section does the equation below describe?

Mathematics

1 answer:

Rus_ich [418]2 years ago

5 0

Answer: Option C. Ellipse

Step-by-step explanation:

The general equation of an ellipse has the following form:

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1$

Where the point (h, k) is the center of the ellipse

In this case we have the equation

$\frac{(x-9)^2}{4} + \frac{(y+2)^2}{25} =1$

Note that its shape matches that of a ellipse with center (9, -2)

$a=\sqrt{4} \\a=2\\\\\\b=\sqrt{25}\\b=5$

Therefore the answer is the obtion C

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A random sample of 35 undergraduate students who completed two years of college were asked to take a basic mathematics test. The

disa [49]

Answer:

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Step-by-step explanation:

The null and alternative hypothesis are given by

H0: σ₁²= σ₂² against Ha: σ₁² ≠ σ₂²

Confidence interval for the population mean difference is given by

(x`1- x`2) ± t √S²(1/n1 + 1/n2)

Where S ²= (n1-1)S₁² + S²₂(n2-1)/n1+n2-2

Critical value of t with n1+n2-2= 50+ 35-2= 83 will be -1.633

Now calculating

S ²=34* (12.8)²+ (14.6)²*49/83= 192.96

Now putting the values in the t- test

(75.1 -72.1) ± 1.633 √ 192.96(1/35 +1/50)

=3 ± 5.09

=-2.09, 8.09 is the 90 % confidence interval for the difference

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

5 0

2 years ago

BRAINLIESTTT ASAP!! PLEASE HELP ME :)

Lostsunrise [7]

Answer:

See below

Step-by-step explanation:

(a) Field lines

A negatively charged particle has an electric field associated with it.

The field lines spread out radially from the centre of the point. They are represented by arrows pointing in the direction that a positive charge would move if it were in the field.

Opposite charges attract, so the field lines point toward the centre of the particle.

For an isolated negative particle, the field lines would look like those in Figure 1 below.

If two negative charges are near each other, as in Figure 2, the field lines still point to the centre of charge.

A positive charge approaching from the left is attracted to both charges, but it moves to the closer particle on the left.

We can make a similar statement about appositive charge approaching from the left.

Thus, there are few field lines in the region between the two particles.

(b) Coulomb's Law

The formula for Coulomb's law is

F = (kq₁q₂)/r²

It shows that the force varies inversely as the square of the distance between the charges.

Thus, the force between the charges decreases rapidly as they move further apart.

5 0

2 years ago

If Benito is selecting samples of five values from the table, which row will result in the greatest mean? Population Data Row 1

Vilka [71]

Answer:

4th row will result in the greatest mean.

Step-by-step explanation:

We are asked to find the row with greatest mean from our given rows.

We will use formula $\bar{x}=\frac{\Sigma x}{n}$ , where,

$\bar{x}=\text{Mean}$ ,

$\Sigma x=\text{Sum of all data values}$ ,

$n=\text{Number of data points in sample}$

Let us find mean of each row using above formula.

$\text{Mean of row 1}=\frac{4+2+2+3+3}{5}$

$\text{Mean of row 1}=\frac{14}{5}$

$\text{Mean of row 1}=2.8$

Therefore, mean of 1st row is 2.8.

$\text{Mean of row 2}=\frac{3+3+4+3+2}{5}$

$\text{Mean of row 2}=\frac{15}{5}$

$\text{Mean of row 2}=3$

Therefore, mean of 2nd row is 3.

$\text{Mean of row 3}=\frac{2+4+3+4+3}{5}$

$\text{Mean of row 3}=\frac{16}{5}$

$\text{Mean of row 3}=3.2$

Therefore, mean of 3rd row is 3.2.

$\text{Mean of row 4}=\frac{3+4+4+7+3}{5}$

$\text{Mean of row 4}=\frac{21}{5}$

$\text{Mean of row 4}=4.2$

Therefore, mean of 4th row is 4.2.

Since 4th row has the highest mean, therefore, 4th row will result in the greatest mean.

6 0

2 years ago

Read 2 more answers

a farmer enough to last his 40 cattle for 35 days'if he bays more cattle how long can the same food last?consider the cattle fin

Lapatulllka [165]

Answer:

this is unclear

Step-by-step explanation:

yoy miss typed

7 0

2 years ago

How can you find the number of feet in 1 million inches

Fofino [41]

There is exactly 8333.3333 feet in one million inches

7 0

3 years ago