Answer:
a) x_average = ∑ 
/ n
, b) Δx_{i} = x_{i} –x_average,
d) σ = √(1/n-1 ∑ Dx_{i}² )
Explanation:
Some definitions are requested
a) the average value is the sum of all the values divided by the number of them, if the uncertainties are random, this is the closest value to the real one
x_average = ∑ / n
b) The deviation from the mean value or absolute error is the measured value minus the average value
Δx_{i} = x_{i} –x_average
c) is the average value of the deviations
Δx_average = ∑ Δx_{i} / n
d) It is a measure of the dispersion of the values with respect to their average value, it takes the worst of all cases, widely used for large numbers of data
σ = √(1/n-1 ∑ Dx_{i}² )
Experimental results should be given as follows
Average value ± uncertainty and the standard deviation
(x_average + - Δx_average)
σ
Scientific evidence is evidence that is backed up by science and you have enough when you can understandingly prove your point or hypothesis
Answer:
h = 4 in
Explanation:
GIVEN DATA:
volume of tin
we know that
volume of cylinder is 
so,
construct formula for surface area
minimize the function wrt h
solving for h we have
![h = [\frac{4 v}{\pi}]^{1/3}](https://tex.z-dn.net/?f=h%20%3D%20%5B%5Cfrac%7B4%20v%7D%7B%5Cpi%7D%5D%5E%7B1%2F3%7D)
we kow 
so
h = 4 in
Given parameters:
Mass on earth = 50kg
Unknown:
Mass on planet Xenon = ?
Weight on planet Xenon = ?
Mass is the amount of matter contained in a particular substance.
Weight is the force on a body and it is derived from the product of mass and acceleration due to gravity.
Weight = mass x acceleration due to gravity
Planet Xenon has half the gravitational force of Earth.
This translated gives 
= 4.9m/s²
Now, mass is always the same every where if the amount of matter in a substance does not change.
In this problem, mass = 50kg on planet xenon.
Weight = mass x acceleration due to gravity = 50 x 4.9 = 245N
The weight on Xenon is 245N and the mass is 50kg
