Mathematical proofs are important because they help to explain concepts. They also serve as concrete validation for a mathematical result or statement.
- In geometry, an incorrect conclusion within a proof might lead to wrong estimations of size, length, and other spatial properties.
- Algebra, topology, arithmetics, calculus, and statistics are some other branches of mathematics. In statistics, an incorrect conclusion within a proof might lead to the wrong interpretation of bulky data. Statistical properties like the mean, median, and mode can be misinterpreted.
- Businesses that rely on statistics for production and forecasting might be affected.
<h3>What is a Mathematical proof?</h3>
A proof in mathematics is a number of conclusions that lead to the justification of a final statement.
Having incorrect mathematical proofs can be dangerous because it will cause the misinterpretation of concepts and the obtaining of wrong results.
Learn more about mathematical proofs here:
brainly.com/question/2139749
13. 38cm
12. 759.96ft
10. A) I believe
9. 3400mm
8. I think B) and D)
6. a) no
b) yes
c) no
d) yes
Hope I could help
62.5 mg sample will remain after 240 days
Step-by-step explanation:
Given
Half-life = T = 60 days
The formula for calculating the quantity after n half lives is given by:
Here
N is the final amount
N_0 is the initial amount
n is the number of half lives passed
The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life
The quantity has to be calculated for 240 days so,
Given
Putting the values in the formula
Hence,
62.5 mg sample will remain after 240 days
Keywords: Half-life, sample
Learn more about half-life at:
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If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.
If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x
Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.
The two numbers are 4 and 16.
The formula is a permutation in which n represents the sample points in the set, while r represents the number of sample points in each permutation.
