Step-by-step explanation:
TanA = SinA/CosA
tanA = 2xy / (x² + y²),
Sin A = CosA * 2xy / (x² + y²)
Answer:
H0: p(1980) = p(2010) ; H1 : P(1980) > P(2010)
0.02
Step-by-step explanation:
Given that:
Sample size in both 1980 and 2010 = 1000 samples :
Proportion in favor :
P(1980) = 0.66
P(2010) = 0.64
To test the hypothesis :
Null hypothesis :
Proportion in favor are the same in both years
Null hypothesis = H0 = p(1980) = p(2010)
Alternative hypothesis :
Proportion in favor in 1980 is greater than that in 2010
Alternative hypothesis = H1 : P(1980) > P(2010)
The sample statistic :
P(1980) - p(2010)
0.66 - 0.64
= 0.02
Answer:
25 degrees
Step-by-step explanation:
In the picture attached, the lines and the angles are shown. There we can see that:
85° + 2x° + (x-10)° = 180°
75 + 3x = 180
x = (180 - 75)/3
x = 35°
∠3 and ∠(x-10)° are alternate interior angles, therefore they are congruent, so:
∠3 = x - 10
∠3 = 35 - 10
∠3 = 25°
280........................................
<h3>
Answer: 8p^3 + 10p^2 + 14p</h3>
Explanation:
The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside
2p times 4p^2 = 2*4*p*p^2 = 8p^3
2p times 5p = 2*5*p*p = 10p^2
2p times 7 = 2*7p = 14p
The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.
