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Vesna [10]
3 years ago
10

Complete the identity sin(2θ) sin(4θ) cos(2θ) cos(4θ) = ?

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0

Answer:

Step-by-step explanation:

Factor the left hand side as a difference of squares:

(

cos

2

θ

+

sin

2

θ

)

(

cos

2

θ

−

sin

2

θ

)

=

cos

2

θ

−

sin

2

θ

Apply the pythagorean identity  

cos

2

θ

+

sin

2

θ

=

1

:

1

(

cos

2

θ

−

sin

2

θ

)

=

cos

2

θ

−

sin

2

θ

cos

2

θ

−

sin

2

θ

=

cos

2

θ

−

sin

2

θ

L

H

S

=

R

H

S

Hopefully this helps!

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When testing a claim that the majority of adult Americans are against the death penalty for a person convicted of murder, a rand
Black_prince [1.1K]

Using the z-distribution, it is found that the p-value is of 1.

At the null hypothesis, it is tested <u>that the majority is not against the death penalty</u>, that is:

H_0: p \neq 0.5

At the alternative hypothesis, it is <u>tested that the majority is against the death penalty</u>, that is:

H_1: p > 0.5

The test statistic is given by:

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In which:

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In this problem, the parameters are: \overline{p} = 0.27, p = 0.5, n = 491.

Then, the value of the <em>test statistic</em> is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

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A similar problem is given at brainly.com/question/16313918

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3 years ago
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