A = (1/2)*b*h = (1/2)*8*10 = 40 . . . . units^2
Answer:
angel b is 70 because all the degrees in a triangle must add up to 180
The mean of the confidence interval is (0.3775 + 0.6225) / 2 = 0.5. Therefore, the standard deviation of the proportion would have been sqrt[0.5*(1 - 0.5) / n], where n is the sample size. This expression simplifies to sqrt(0.25/n).
A 95% CI has a corresponding z = 1.96, so since the distance from 0.5 to 0.3775 (or 0.6225 to 0.5) is equal to 0.1225. Therefore, if we divide 0.1225 / 1.96 = 0.0625, we get the value of the SD, and this should be equal to sqrt(0.25/n).
0.0625 = sqrt(0.25/n)
n = 64
This means that the proportion was 0.5 and the sample size was 64.
Answer:
732.21 m
Step-by-step explanation:
Given the time taken by cadet to cross an obstacle and swing back to where he started = 5.5 seconds
The formula for a complete oscillation(to and fro) period is
<h2>T = 2π * √(L/g)</h2>
where:
<em>T is the period of oscillations</em><em> - time that it takes for the pendulum to complete one full back-and-forth movement.</em>
<em />
<em>L is the length of the pendulum </em>
<em />
<em>g is the acceleration of gravity, which</em><em> is equal to 9.81 m/s^2 </em>
5.5 = 2 π √(L / 9.81)
5.5/2π = √(L / 9.81)
8.64 = √L / 9.81
8.64 ² = L / 9.81
74.64 = L / 9.81
L = 74.64 * 9.81
L = 732.21 m
Answer: The answer is B and C
Step-by-step explanation: