The maximum height that the pendulum can reach will be 45 meters.
<h3>How to calculate the height?</h3>
It should be noted that the total energy at A should be equal to the total energy at B.
Therefore, this will be calculated thus:
1/2(14)² + 10(35) = 1/2(0)² + mgH
98 + 350 = 10H
448 = 10H
H = 448/10
H = 44.8 meters
H = 45 meters approximately
Learn mote about height on:
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Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
<h3>When should the t-distribution and the z-distribution be used?</h3>
- If we have the standard deviation for the sample, the t-distribution should be used.
- If we have the standard deviation for the population, the z-distribution should be used.
In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a <em>confidence level of 99%</em> and 56 - 1 = <em>55 df</em>, the critical value is t = 2.6682.
More can be learned about the t-distribution at brainly.com/question/16162795
A fraction that is less than 5/6 with a denominator of 8 is 1/8. The easiest way to see this is the decimal value of both fractions. 5/6 is equal to approximately .833 while 1/8 is equal to .125.
Answer:
a= (1,4)
b=(4,2)
c=(2,6)
d=(2,-1)
Step-by-step explanation:
All I did was looked at the regions the points began and ended. I'm not 100% this is correct but I hope I helped!
