Jada's turtle embarked on an intriguing journey, marking its passage with each step. Initially, it took a decisive stride spanning 10 feet. This pivotal moment laid the foundation for the subsequent segment of its expedition.
In a remarkable turn, the turtle chose to halve its preceding distance, taking a path less traveled and demonstrating an innate sense of mathematical intuition.
This deliberate decision to cover half the initial distance carries profound mathematical implications. Halving signifies a division, a fundamental operation in mathematics.
In this context, it exemplifies the concept of fractions and ratios, crucial elements in various mathematical disciplines. By traversing half of the initial 10 feet, the turtle traveled 5 feet, embodying the notion of proportionality and equivalence. This action aligns with the mathematical principle that dividing a quantity by 2 results in equal parts, illustrating balance and harmony.
Moreover, this scenario offers a valuable lesson in geometry, emphasizing spatial understanding. The turtle's journey can be visualized geometrically, with the initial 10-foot distance representing a line segment. Halving this segment creates two distinct yet symmetrical parts, showcasing the concept of geometric symmetry.
Understanding symmetry is fundamental not only in geometry but also in various branches of science and art, underscoring the turtle's unintentional yet profound contribution to these fields.
Furthermore, the turtle's expedition is symbolic of mathematical recursion, a concept prevalent in various mathematical problems and computer science algorithms. Recursive processes involve breaking a problem into smaller, similar subproblems.
In this case, the turtle repeatedly divides its path by 2, creating a recursive sequence of distances. Recursive thinking is a cornerstone of problem-solving, highlighting the turtle's journey as a metaphor for tackling complex challenges by breaking them down into manageable steps.
In essence, Jada's turtle, with its seemingly simple journey, encapsulates fundamental mathematical concepts such as fractions, ratios, geometry, symmetry, and recursion. Its measured steps echo the principles that underpin a wide array of mathematical phenomena, demonstrating the interconnectedness of mathematics with the world around us.
Through this tale, the turtle becomes not just a traveler but a mathematical muse, inspiring contemplation and understanding of the intricacies of the numerical world.
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A. no restrictions are needed
B. y= -1
C. y =1
D. y = 3 <---
plzz helpp !
X 47 -582
p(x) ? 0.06
Complete the table and calculate the expected profit for the company. In other words, find the expected value of X.
Answer: See explanation!
Step-by-step explanation:
To complete the table, we need to calculate the probability of the item not breaking. Since the proportion of items that break is 0.06, the proportion of items that do not break is 1 - 0.06 = 0.94.
Now we can fill in the table:
X | -582 | 47
p(x) | 0.06 | 0.94
To calculate the expected profit for the company, we multiply each outcome by its corresponding probability and sum the results:
Expected profit = (-582) * 0.06 + 47 * 0.94
Calculating this expression, we find that the expected profit for the company is approximately $3.92.
Therefore, the expected value of X, the random variable representing the profit for the company, is $3.92.
Step-by-step explanation:
Answer:
Step-by-step explanation:
I can help
Step 1
√18 Simplify
3√2
Step 2
3√2 Check
Answer
3√2
Hope this helped
To simplify √18, we first find the prime factors of 18, then use those factors to rewrite √18 in a simplified form. For 18, which is 2 * 3^2, the square root simplifies to 3√2.
The goal here is to simplify √18. To begin, we find the prime factors of 18. The prime factors of 18 are 2 and 3. Hence 18 can be written as 2 * 3 * 3 or 2 * 32. We substitute this representation into our original expression, √18 becomes √(2 * 32). From our knowledge of square roots, we know that √(a2) can be simplified to 'a'. That is, the square root of the square of a number is the number itself. Hence, √(32) can be simplified to 3. So we have √(2 * 32) = √2 * 3 = 3√2. So, the simplification of √18 is 3√2.
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