Answered on 02 Feb Learn Data handling
Pooja R. Jain
A histogram is used to represent the distribution of continuous data, typically grouped into intervals or bins. Let's analyze the given scenarios:
(i) The number of letters for different areas in a postman’s bag:
(ii) The height of competitors in an athletics meet:
Therefore, for the height of competitors in an athletics meet, a histogram would be more appropriate to show the distribution of heights.
Answered on 18 Mar Learn Introduction To Graphs
Kalaiselvi
Mathematics tutor with 2 years experience(Online Classes)
To determine if the points (5, 4) and (4, 5) represent the same point, we can compare their coordinates.
The point (5, 4) has coordinates (x, y) = (5, 4), while the point (4, 5) has coordinates (x, y) = (4, 5).
Since the order of the coordinates matters, these points are different. The first point is located at (5, 4), and the second point is located at (4, 5). Therefore, they do not represent the same point in a Cartesian coordinate system.
read lessAnswered on 26 Feb Learn Playing with Numbers
Nazia Khanum
Are you seeking the best online coaching for Class 7 Tuition? As a registered tutor on UrbanPro.com specializing in Class 7 Tuition, I am here to provide guidance on solving mathematical problems. Let's delve into the question of divisibility.
Problem Analysis: The problem at hand is to determine which number among the given options (15, 12, 3, 9) divides 345111 without leaving a remainder. Let's analyze each option systematically.
Options Analysis:
Option 15:
Option 12:
Option 3:
Option 9:
Conclusion: After carefully applying the divisibility rules to each option, the correct answer can be determined. Share the result with the student, emphasizing the importance of understanding and applying these rules to solve similar problems in the future.
By choosing the best online coaching for Class 7 Tuition on UrbanPro.com, students can receive personalized guidance and support to excel in their studies.
Answered on 26 Feb Learn Playing with Numbers
Nazia Khanum
To find a 5-digit number divisible by 11 with the given digits (2, 3, 4, 5, 6), we can use the following approach:
Alternate Sum Method:
Example: 6−5+4−3+2=46−5+4−3+2=4.
Check Divisibility:
Let's apply the method:
Since 4 is not divisible by 11, let's try another arrangement until we find a suitable number.
After a few iterations, we find the arrangement 5, 6, 4, 3, 2, which yields 2−3+4−6+5=22−3+4−6+5=2. This number, 56432, is divisible by 11.
As your dedicated Class 7 Tuition online coach, I am not only committed to teaching the curriculum but also to engaging students with interesting problem-solving methods. If you have more questions or need further clarification, feel free to reach out!
read lessAnswered on 26 Feb Learn Factorization
Nazia Khanum
As an experienced tutor registered on UrbanPro.com, I'll guide you through the process of factoring the quadratic expression 100x² – 80xy + 16y². Let's break down the solution into clear steps.
Before factoring, it's essential to recognize the type of quadratic expression we're dealing with. The given expression is a perfect square trinomial, which can be factored using a specific formula.
The expression 100x² – 80xy + 16y² falls under the category of (a - b)², where 'a' and 'b' are terms in the form of ax and by, respectively. The formula for factoring a perfect square trinomial is:
(a−b)2=a2−2ab+b2(a−b)2=a2−2ab+b2
In our case, a=10xa=10x and b=4yb=4y. Applying the formula:
(10x−4y)2=(10x)2−2(10x)(4y)+(4y)2(10x−4y)2=(10x)2−2(10x)(4y)+(4y)2
Now, let's simplify the expression obtained from the formula:
100x2−80xy+16y2100x2−80xy+16y2
=100x2−80xy+16y2=100x2−80xy+16y2
This is the factored form of the given quadratic expression.
read lessAnswered on 26 Feb Learn Factorization
Nazia Khanum
As an experienced tutor registered on UrbanPro.com, I specialize in providing high-quality online coaching for Class 7 Tuition. One of the topics frequently covered in this grade is algebraic expressions and factorization. In this response, I will address the specific factorization question: "Factorise: 16x⁴ – y⁴."
Solution:
Step 1: Identify the Perfect Square Form:
Step 2: Apply the Difference of Squares Formula:
Step 3: Substitute and Simplify:
Step 4: Further Factorization if Possible:
Final Factorization: The complete factorization of 16x4−y416x4−y4 is (4x2+y2)(2x+y)(2x−y)(4x2+y2)(2x+y)(2x−y).
Conclusion: For effective Class 7 Tuition and clear explanations of concepts like factorization, consider enrolling in my online coaching sessions on UrbanPro.com. My goal is to provide comprehensive support to students, helping them grasp mathematical concepts with ease.
Answered on 26 Feb Learn Factorization
Geeta Mathur
Experienced and Certified Vedic Astrologer from YOGRISH ASTRO RESEARCH INSTITUTE, INDORE
To factorize the quadratic expression x2+6x+8x2+6x+8, we're looking for two binomials of the form (x+p)(x+q)(x+p)(x+q) where pp and qq are numbers such that:
(x+p)(x+q)=x2+(p+q)x+pq(x+p)(x+q)=x2+(p+q)x+pq
In this case, we want p+qp+q to be equal to the coefficient of xx in the given expression (which is 6) and pqpq to be equal to the constant term (which is 8).
Let's find pp and qq:
p+q=6p+q=6 pq=8pq=8
The pairs of numbers that satisfy these conditions are p=2p=2 and q=4q=4.
Therefore, the factorization is:
x2+6x+8=(x+2)(x+4)x2+6x+8=(x+2)(x+4)
Answered on 26 Feb Learn Factorization
Nazia Khanum
The given expression is a difference of squares, which can be factored as follows:
49y2−1=(7y)2−1249y2−1=(7y)2−12
Now, you can use the difference of squares formula, which states that a2−b2=(a+b)(a−b)a2−b2=(a+b)(a−b). In this case, let a=7ya=7y and b=1b=1:
(7y+1)(7y−1)(7y+1)(7y−1)
So, the factorization of 49y2−149y2−1 is (7y+1)(7y−1)(7y+1)(7y−1).
Answered on 26 Feb Learn Factorization
Nazia Khanum
To divide the expression 10(x3y2z2+x2y3z2+x2y2z3)10(x3y2z2+x2y3z2+x2y2z3) by 5x2y2z25x2y2z2, you can simplify by dividing each term in the numerator by the denominator:
Now, simplify each term:
Combine the simplified terms:
2+2+2z2+2+2z
So, the result of the division is 4+2z4+2z.
Answered on 26 Feb Learn Factorization
Nazia Khanum
To simplify the expression 12(y2+7y+10)6(y+5)6(y+5)12(y2+7y+10), you can start by simplifying the coefficients and factoring the quadratic expression in the numerator:
12(y2+7y+10)6(y+5)6(y+5)12(y2+7y+10)
First, factor the quadratic expression in the numerator:
12(y2+7y+10)=12(y+5)(y+2)12(y2+7y+10)=12(y+5)(y+2)
Now, substitute this factorization back into the original expression:
12(y+5)(y+2)6(y+5)6(y+5)12(y+5)(y+2)
Next, simplify the coefficients and cancel out common factors:
2(y+5)(y+2)y+5y+52(y+5)(y+2)
Finally, cancel out the common factor of (y+5)(y+5):
2(y+2)2(y+2)
So, the simplified expression is 2(y+2)2(y+2).
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