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Ierofanga [76]
3 years ago
13

Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2

Mathematics
1 answer:
choli [55]3 years ago
6 0
Sin3x-2
sin3x=2
sinx=2/3
x= 0.52
x=-0.43
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Answer:

Pvalue = 0.193

There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

Step-by-step explanation:

H0 : p = 0.4

H1 : p < 0.4

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 74 / 200 = 0.37

Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200

Z = - 0.03 / √0.0012

Z = - 0.03 / 0.0346410

Z = - 0.866

Test statistic = -0.866

The Pvalue :

P(Z < -0.866) = 0.193

α - level = 0.05

If Pvalue < α ; Reject H0

Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

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2 years ago
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 91 inches, and a standard d
Vesna [10]
The sample std. dev. will be (14 inches) / sqrt(49), or (14 inches) / 7, or 2 inches.

Find the z score for 93.8 inches:
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z = ------------------------------------- = ----------------- = 1.4
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Now find the area under the standard normal curve to the left of z = +1.4.

My calculator returns the following:

normalcdf(-100,1.4) = 0.919.  This is the probability that the mean annual precipitation during those 49 years will be less than 93.8 inches.
 
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