The athlete that has the shortest training ride is athlete A.
The athlete that has the shorter range is Athlete B.
The athlete that has the greater median is Athlete B.
The athlete that has the greater IQR is athlete A.
<h3>What are the summary statistics?</h3>
A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The first whisker represents the minimum number and the second whisker represents the maximum number. The difference between the whiskers is known as range.
Range of Athlete A = 36 - 13 = 13
Range of Athlete B = 30 - 19 = 11
Training ride of Athlete A = 16
Training ride of Athlete B = 21
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Median of Athlete A = 20
Median of Athlete B = 25
IQR of Athlete A = 30 - 16 = 14
IQR of Athlete B = 28 - 21 = 7
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Answer:
f(-x) = x² - 9x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
f(x) = x² + 9x - 6
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(-x) = (-x)² + 9(-x) - 6
- [Order of Operations] Simplify: f(-x) = x² - 9x - 6
Answer:
Area of square is 625 cm².
Explanation:
Side (length) = 25 cm
As we know, all the sides of the square are equal.
Further,
Area of the square = (side) ²
Area = ( 25 )²
Area = 625 cm²
Therefore, area of the square is 625 cm².
The solution to the binomial expression by using Pascal's triangle is:



<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>
Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.
We can have the Pascal tree triangle expressed as follows:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---
From the given information:
The expansion of (3x-4y)^11 will correspond to line 11.
Using the general formula for the Pascal triangle:

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:



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Answer:
y=2x+4
Step-by-step explanation: