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2 years ago

What is the solution to the division problem below? (You can use long division or synthetic division)

Mathematics

1 answer:

kotykmax [81]2 years ago

7 0

P(x) = 2x^2 - 4x^2 - 9
g(x) = x - 3
q(x) = 2x^2 + 2x + 6
r(x) = 9

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Use the information provided to determine a 95% confidence interval for the population variance. A researcher was interested in

Leno4ka [110]

Answer:

The 95% confidence interval for the population variance is (8.80, 32.45).

Step-by-step explanation:

The (1 - α)% confidence interval for the population variance is given as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

It is provided that:

n = 20

s = 3.9

Confidence level = 95%

⇒ α = 0.05

Compute the critical values of Chi-square:

$\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2, (20-1)}=\chi^{2}_{0.025,19}=32.852\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{1-0.05/2, (20-1)}=\chi^{2}_{0.975,19}=8.907$

*Use a Chi-square table.

Compute the 95% confidence interval for the population variance as follows:

$\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}$

$\frac{(20-1)\cdot (3.9)^{2}}{32.852}\leq \sigma^{2}\leq \frac{(20-1)\cdot (3.9)^{2}}{8.907}\\\\8.7967\leq \sigma^{2}\leq 32.4453\\\\8.80\leq \sigma^{2}\leq 32.45$

Thus, the 95% confidence interval for the population variance is (8.80, 32.45).

4 0

2 years ago

Derive Euler's formula e^(ix) - cos(x) + i*sin(x) by using taylor series expansion

gavmur [86]

Answer:

the answer is probably 5

5 0

2 years ago

I need help quick please

kenny6666 [7]

Volume is Length x width x height divided by 3. You have the length and the width. which equals 24. (6x4). The volume that is present is 72... the last thing you do in the equation is divide by three so multiply 72 by 3 and get 216. This is the LxWxH. Like I said before you have the L and the W, which is 24. You would divide 24 from 216. The Height is 9cm.

6 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=3x%20%7B%20%7D%5E%7B2%7D%20%20%3D%20%20-%2054%20" id="TexFormula1" title="3x { }^{2} = - 54

valkas [14]

Answer:

No real solutions

Step-by-step explanation:

Divide both sides by 3

3x^3/3=-54/3

x^2=-18

Take square root

x=±√−18

4 0

3 years ago

If a translation of T-3,-8(x, y) is applied to square ABCD, what is the y-coordinate of B?

borishaifa [10]

Square ABCD of the translation T-3,-8(x,y)

4 0

2 years ago