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elena-s [515]
3 years ago
7

PLEASE HELP WILL GIVE BRAINLIEST SIMPLIFY THE FOLLOWING EXPRESSION I NEED BOTH

Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0

Answer:

First one- 1/5^2

Second- 2/3m^15

Step-by-step explanation:

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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 - <em>α</em>)% 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:

<em>n</em> = 20

<em>s</em> = 3.9

Confidence level = 95%

⇒ <em>α</em> = 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
3 years ago
Inequality for 3x+1&gt;x-1
Diano4ka-milaya [45]

Answer:

x>-1

Step-by-step explanation:

solve this normally like a linear equation

3x + 1 >x-1

collect like terms

3x-x>-1-1

2x>-2

x>-2/2

x>-1

5 0
3 years ago
Which container could most likely have a capacity of 1,000 liters?
Oksi-84 [34.3K]

Answer: D

Step-by-step explanation: I said D because it's bigger than every other thing

6 0
3 years ago
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What are examples of relatively prime numbers?
iris [78.8K]
7 and 20 are relatively prime (no common factor)
8 0
3 years ago
Henry planted 24 tomato plants and 18 green bean plants in his garden. Simon planted 30 tomato plants and 25 green bean plants i
jasenka [17]

Answer:

Its different.

Step-by-step explanation:

Henry's garden:

divide 24 and 18 by 6: you get 4:3 ratio of tomato:green bean

Simon's garden:

divide both 30 and 25 by 5: you get 6:5 ratio of tomato:green bean.

6 0
3 years ago
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