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Without specific details or a diagram for angle R, we cannot accurately find its sine. However, sine is calculated as the ratio of the length of the side opposite the angle to the hypotenuse in a right-angled triangle.

The question involves determining the sine of angle R. Without a diagram or specific triangle measurements provided, it's impossible to accurately answer this question. However, the sine of an angle in a right-angled triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Using placeholder values for illustration, if angle R is opposite a side with length 5 and the hypotenuse of the triangle has a length of 13, then sin(R) = ⅓, which is not explicitly listed among the options provided. Yet, understanding this ratio helps to clarify how sine values are calculated in right-angled triangles.

Answer:

6 days

Explanation:

Let days worked = x

Let days idle = y

x + y = 40

20x - 4x = 656

Lets choose a variable to eliminate (We'll choose y)

(x + y = 40) 4

20x - 4y = 656

Distribute

4x + 4y = 160

20x - 4y = 656

The -4y cancels out the 4y and then we combine

24x = 816

Divide both sides by 24

24x/24 = 816/24

x = 34

Active days = 34

40 days - 34 active days = 6 idle days

Answer:he was idle for 6 days

Explanation:

Let x represent the number of days that the employee works.

Let y represent the number of days that the employee is idle.

If he works for 40 days, it means that

x + y = 40

An employee earns $20 for each day he works, and he forfeits $4.00 for each day that he is idle. If at the end of 40 days, the employee earns $656, it means that

20x - 4y = 656 - - - - - - - - - - 1

Substituting x = 40 - y into equation 1, it becomes

20(40 - y) - 4y = 656

800 - 20y - 4y = 656

- 20y - 4y = 656 - 800

- 24y = - 144

y = - 144/ -24

y = 6

Substituting y = 6 into x = 40 - y, it becomes

x = 40 - 6 = 34

Answer:

The where do you think you will be in life is all you. But in my opinion, I think that the world will be worse. The world has become a very dangerous cruel place. And I haven't seen that get any better I have seen it get worse.

Hope this helps!

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Answer:

Creo que el mundo será muy diferente. Creo que usaremos más nuestros dispositivos electrónicos y nos quedaremos más adentro. También creo que el transporte será diferente. Creo que la mayoría de los autos serán eléctricos. Esperemos que dejemos de contaminar la tierra y que el calentamiento global no sea un problema importante. Creo que la gente se vestirá más colorida o tal vez en colores más oscuros, no sé.

Explanation:

spanish version for spanish 3 ns classes

Answer:

There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion of those under 25. (0.1104, 0.2470)

Explanation:

Let :

[tex]n_{1}[/tex] be the number of people over the age of 55.

[tex]n_{2}[/tex] be the number of people under the age of 25.

[tex]x_{1}[/tex] be the number of people who dream in black and white over the age of 55.

[tex]x_{2}[/tex] is the number of people who dream in black and white under age of 25.

α be the significance level, from which the confidence level is calculated

Given :

[tex]n_{1} = 306[/tex]

[tex]n_{2} = 298[/tex]

[tex]x_{1} = 68[/tex]

[tex]x_{2} = 13[/tex]

[tex]\alpha=0.01[/tex]

The sample proportion is the number of successes divided by the sample size:  

[tex]\hat p_{1}=\frac{x_{1} }{n_{1} }=\frac{68}{306}\approx 0.2222[/tex]

[tex]\hat p_{2}=\frac{x_{2} }{n_{2}}=\frac{13}{298} \approx 0.0436[/tex]

For confidence level 1 -  α = 0.99.

determine [tex]\frac{z_{\alpha} }{2}=z_{0.005}[/tex]  using the normal probability table.

[tex]\frac{z_{\alpha} }{2}=z_{0.005}=2.575[/tex]  

The margine error is then:  

[tex]E=\sqrt[\frac{z_{\alpha} }{2}]{\frac{\hat p\hat q}{n_{1} }+\frac{\hat p\hat q}{n_{2}}}=\sqrt[2.575]{\frac{0.222(1-0.2222)}{306}+\frac{0.0436(1 - 0.044)}{298}}\approx. 0.0684[/tex]  

The confidence interval is then :

[tex]0.1104 = (0.2222 - 0.0436)-0.0684 = (\hat p_{1}-\hat p_{2})-E < p_{1}- p_{2} < ( \hat p_{1}-\hat p_{2})+E = (0.222-0.0436) + 0.0684 = 0.2470[/tex]  

Confidence interval does not contain 0 thus the null hypothesis is rejected and the claim supported. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion of those under 25.