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.
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The distance between the bottom of the ladder be from the base of the building will be 17.32 ft.
<h3>What is the Pythagorean theorem?</h3>
It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
As we can see in the figure the length of the ladder is 20 ft and the base of the ladder is 10 ft from the base of the building.
By using the Pythagorean theorem we will calculate the distance between the tip of the ladder and the base of the building.
H² = 20² - 10²
H²= 400 - 300
H² = 300
H = √300
H = 17.32 ft.
Therefore the distance between the bottom of the ladder is from the base of the building will be 17.32 ft.
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B. the diagonals are congruent - the graph represents two equal, parallel lines, making the two segments congruent
<span>The one-way ANOVA or one – way analysis of
variance is used to know whether there are statistically substantial
dissimilarities among the averages of three or more independent sets. It
compares the means between the sets that is being examined whether any of those
means are statistically pointedly dissimilar from each other. If it does have a
significant result, then the alternative hypothesis can be accepted and that
would mean that two sets are pointedly different from each other. The symbol, ∑
is a summation sign that drills us to sum the elements of a sequence. The
variable of summation is represented by an index that is placed under the
summation sign and is often embodied by i. The index is always equal to 1 and
adopt values beginning with the value on the right hand side of the equation
and finishing it with the value over head the summation sign.</span>
Since each girl gets 11 sticker that means that there are 22 stickers in the pack.
11x2=22
