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musickatia [10]
3 years ago
12

Find the values of the variables in the parallelogram. The diagram is not to scale.

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0

Answer:

x=31°, y=52°,z=97°

Step-by-step explanation:

The interior angles of a triangle sum up to 180°

y°+ 31°+ 97°= 180°

y° = 180 - 31° - 97°

y=180°-128°

y° = 52°

Alternative angles are equal

x= 31°

Two opposite angles of a parallelogram are equal

z°= 97°

Therefore x=31°,y=52° and z=97°

The last choice is correct.

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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
5000 is 1/10 of what
VikaD [51]
50,000 is the answer because if you multiply 5,000 and 10 you get 50,000. And if you divide 50,000 by 10 you get 5,000. Which is 1/10 of 50,000.
6 0
3 years ago
If something is $380, then the sellers mark up the price by 84%, what is the final sale price??
nadya68 [22]
699.2 is correct answer
4 0
3 years ago
Please help!!!! BRAINLIEST for whoever is correct!! What is the difference of the rational expressions below?
Nostrana [21]

Answer:

<h2>\frac{3x + 25}{5 {x}^{2} }</h2>

Step-by-step explanation:

\frac{x + 5}{ {x}^{2} }  -  \frac{2}{5x}

Write all the numbers above the least common denominator {5x}^{2}

\frac{5(x + 5) - 2x}{5 {x}^{2} }

Distribute 5 through the parentheses

\frac{5x + 25 - 2x}{5 {x}^{2} }

Collect like terms

\frac{3x + 25}{5 {x}^{2} }

Hope this helps...

Good luck on your assignment...

6 0
3 years ago
Read 2 more answers
(-2g + 7) - (g + 11)<br><br> please i need help
Lina20 [59]

Answer: -3g - 4

(-2g + 7) - (g + 11)

= -2g + 7 - g - 11

= -3g - 4

Step-by-step explanation:

5 0
3 years ago
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