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Katen [24]
3 years ago
5

Simplify the equation using addition or subtraction formula. sin θ cos 3θ + cos θ sin 3θ = 0

Mathematics
2 answers:
klasskru [66]3 years ago
8 0
Hello,

sin (a+b)= sin a cos b+ cos a sin b

0=sin t cos3t +cos t sin 3t=sin (4t)
==>4t=kπ
==>t=kπ/4


natta225 [31]3 years ago
6 0
We are given the equation sin θ cos 3θ + cos θ sin 3θ = 0  and is asked to simplify the given. In this case, we can use the summation in trigonometric identities to simplify the equation. this form is equivalent to sin (A+B) = sin A cos B + cos A sin B. This means the simplification is equal to sin 4θ
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Does the sample provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package? Gro
kirill115 [55]

Answer:

As probability of that happening is very small; Yes, 33.6 is less than 35.6 grams   because   it  provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package.

Step-by-step explanation:

For a normal distribution Z-score

Z = \frac{X-\mu}{\sigma}

Given that :

the mean (\mu) = 35.6

standard deviation (\sigma) = 5.2

sample size (n) = 35

standard error: \sigma_x = \frac{\sigma}{\sqrt{n}}

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The probability that a random sample of 35 bags has a mean weight of 33.6 grams or less is :

P(X<33.6)  = P(Z < - 2.28)

= 0.0114

Conclusion:

As probability of the happening is very small; Yes, 33.6 is less than 35.6 grams   because   it  provide strong evidence that the mean weight of the bags is lower than the 35.6 grams listed on the package.

7 0
4 years ago
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jeyben [28]

Answer:    -10

Step-by-step explanation:

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Hope it helps!

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