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3 years ago

Triangles PQR and SQT are similar triangles.

Mathematics

1 answer:

aleksklad [387]3 years ago

8 0

Answer:

The side lengths of similar triangles are proportional

Step-by-step explanation:

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What is x? The degree of the angle of x

irga5000 [103]

Answer:

x = 60°

Step-by-step explanation:

All the angles in a triangle add up to 180°. So, you have this equation.

87° + 33° + x = 180°

120° + x = 180°

x = 60°

The measure of angle x is 60°.

Hope that helps.

4 0

2 years ago

According to the text The bridge between basic and applied research is known as

emmainna [20.7K]

answer:Ergonomics: A bridge between fundamentals and applied research.

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2 years ago

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).

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2 years ago

What is the multiplicative rate of change of the function?

BartSMP [9]

Answer:

We know that the multiplicative rate of change of a function is the number by which each next term of an exponential function is increasing or decreasing. We can find multiplicative rate of change by dividing any term of the function by its previous term.

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3 years ago

What is the value of x? 6(-3 - 2) - 2x = 14 Enter your answer in the box

Kitty [74]

Answer:X=-4

Step-by-step explanation:

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3 years ago

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