Answer:
P value is 0.1932
conclusion is that find value P greater than hypothesis test at the 0.05 level
Step-by-step explanation:
Given data
registered organ donors P = 40%
sample n = 200
registered organ donors x = 74
hypothesis test α = 0.05
to find out
P-value and state a conclusion
solution
we take a trail p less than 40 % i.e 0.40
so p = x/n
p = 74 / 200 = 0.37
so we find here Z value i.e
Z = p - P / √(PQ/n)
here Q = 1-p = 1-0.40 = 0.60
so Z = 0.37 - 0.40 / √(0.40×0.60/200)
Z = - 0.866
so p value for Z (-0.866) from z table
P value is 0.1932
and conclusion is that find value P greater than hypothesis test at the 0.05 level
Answer:
all real nunbers
Step-by-step explanation:
when we exchange the place of x and y and solve for y we get the equation y=x^2 + 2
any number inserted in x will give a value y
Here, angle (3x-1) is supplementary with 5x, so their sum would be equal to 180
3x - 1 + 5x = 180
8x = 180 + 1
x = 181/8
x = 22.625
Hope this helps!
Answer:
-4sinθcosθ
Step-by-step explanation:
Note:
1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. sin^2θ + cos^2θ = 1
(sinθ -cosθ)^2 - (sinθ + cosθ)^2
= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)
= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)
= 1 - 2sinθcosθ - (1 + 2sinθcosθ)
= 1- 2sinθcosθ -1 - 2sinθcosθ
= - 2sinθcosθ - 2sinθcosθ
= -4sinθcosθ
