Answer:
4 + 6h = total Houses
Step-by-step explanation:
Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
Answer:
Step-by-step explanation:
Length = 4
Width = 3
h = height
distance(d) = ![\sqrt{34}](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D)
To find distance you use this equation: ![d=\sqrt{l^2+w^2+h^2}\\](https://tex.z-dn.net/?f=d%3D%5Csqrt%7Bl%5E2%2Bw%5E2%2Bh%5E2%7D%5C%5C)
So since you already have to distance you can plug in the variable you do have and solve it backwards to get the height.
![\sqrt{34}=\sqrt{4^2+3^2+h^2} \\34=4^2+3^2+h^2\\34=16+9+h^2\\ 34=25+h^2\\ 9=h^2\\ \sqrt{9}=\sqrt{h^2} \\3=h](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D%3D%5Csqrt%7B4%5E2%2B3%5E2%2Bh%5E2%7D%20%20%5C%5C34%3D4%5E2%2B3%5E2%2Bh%5E2%5C%5C34%3D16%2B9%2Bh%5E2%5C%5C%2034%3D25%2Bh%5E2%5C%5C%209%3Dh%5E2%5C%5C%20%5Csqrt%7B9%7D%3D%5Csqrt%7Bh%5E2%7D%20%20%5C%5C3%3Dh)