The prime factorization of 72 is 2³ × 3². To break it down: 72 ÷ 2 = 36 36 ÷ 2 = 18 18 ÷ 2 = 9 9 ÷ 3 = 3 3 ÷ 3 = 1 So the prime factorization is 2³ × 3². Click here for more: https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
The prime factorization of 72 is 2³ × 3². To break it down:
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
So the prime factorization is 2³ × 3².
The correct answer is Idli-Vada. The first common multiple of 3 and 5 is 15. In the Idli-Vada game, players say "Idli" for multiples of 3, "Vada" for multiples of 5, and "Idli-Vada" for multiples of both 3 and 5. Since 15 is a multiple of both 3 and 5, the correct response is "Idli-Vada." Click hereRead more
The correct answer is Idli-Vada. The first common multiple of 3 and 5 is 15. In the Idli-Vada game, players say “Idli” for multiples of 3, “Vada” for multiples of 5, and “Idli-Vada” for multiples of both 3 and 5. Since 15 is a multiple of both 3 and 5, the correct response is “Idli-Vada.”
Therefore, the correct answer is 2. The number that is greater than 1 and has two factors 1 and itself alone is called a prime number. Thus, the smallest prime number is the prime factor 2 because 2 has only two factors, which are 1 and 2. It is the smallest and the only even prime number. Click herRead more
Therefore, the correct answer is 2. The number that is greater than 1 and has two factors 1 and itself alone is called a prime number. Thus, the smallest prime number is the prime factor 2 because 2 has only two factors, which are 1 and 2. It is the smallest and the only even prime number.
The correct answer is "Choosing an appropriate scale". The scale of a graph is crucial because it determines how the data is represented visually. An appropriate scale ensures that the data is presented clearly and accurately without distortion. Using too large or too small a scale can lead to misleRead more
The correct answer is “Choosing an appropriate scale”. The scale of a graph is crucial because it determines how the data is represented visually. An appropriate scale ensures that the data is presented clearly and accurately without distortion. Using too large or too small a scale can lead to misleading interpretations.
The correct answer is "Collecting the data". First, one has to collect all the information in order to organize it. It is impossible to analyze or organize data without proper collection. After collecting the data, it can then be analyzed and presented through graphs or reports. Click here for more:Read more
The correct answer is “Collecting the data”. First, one has to collect all the information in order to organize it. It is impossible to analyze or organize data without proper collection. After collecting the data, it can then be analyzed and presented through graphs or reports.
The correct answer is "Multiply by 3 and add 1". In the Collatz sequence, if the number is odd, it is multiplied by 3 and then 1 is added to the result. This operation continues until the number eventually reaches 1. The sequence follows the pattern: if odd, multiply by 3 and add 1; if even, divideRead more
The correct answer is “Multiply by 3 and add 1”. In the Collatz sequence, if the number is odd, it is multiplied by 3 and then 1 is added to the result. This operation continues until the number eventually reaches 1. The sequence follows the pattern: if odd, multiply by 3 and add 1; if even, divide by 2.
A composite number is one that has more than two factors. It can be divided by at least one number other than 1 and itself. For example 4 is a composite number because its factors are 1 2 and 4. Unlike prime numbers which only have two factors composite numbers have additional factors. Click here foRead more
A composite number is one that has more than two factors. It can be divided by at least one number other than 1 and itself. For example 4 is a composite number because its factors are 1 2 and 4. Unlike prime numbers which only have two factors composite numbers have additional factors.
When five fair coins are tossed simultaneously the probability of getting at least one head is found using the complement rule 1. Total possible outcomes when tossing 5 coins = 2⁵ = 32 2. Only unfavorable outcome is getting all tails which happens in one way: TTTTT 3. Probability of getting all tailRead more
When five fair coins are tossed simultaneously the probability of getting at least one head is found using the complement rule
1. Total possible outcomes when tossing 5 coins = 2⁵ = 32
2. Only unfavorable outcome is getting all tails which happens in one way: TTTTT
3. Probability of getting all tails = 1/32
4. Probability of getting at least one head = 1 – P(all tails) = 1 – 1/32 = 31/32
Given: P(A) = 4/5 P(A ∩ B) = 7/10 Using the conditional probability formula: P(B|A) = P(A ∩ B) / P(A) Substituting the values: P(B|A) = (7/10) ÷ (4/5) = (7/10) × (5/4) = 35/40 = 7/8 So the correct answer is 7/8 Click here for more: https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapteRead more
Given:
P(A) = 4/5
P(A ∩ B) = 7/10
Using the conditional probability formula:
P(B|A) = P(A ∩ B) / P(A)
Given: P(A hits) = 0.4 P(B hits) = 0.3 P(C hits) = 0.2 To find the probability of exactly two hits, we consider the cases where exactly two of A, B, and C hit the target: 1. A and B hit, C misses: P(A ∩ B ∩ C') = (0.4) × (0.3) × (1 - 0.2) = 0.4 × 0.3 × 0.8 = 0.096 2. A and C hit, B misses: P(A ∩ B'Read more
What is the prime factorization of 72?
The prime factorization of 72 is 2³ × 3². To break it down: 72 ÷ 2 = 36 36 ÷ 2 = 18 18 ÷ 2 = 9 9 ÷ 3 = 3 3 ÷ 3 = 1 So the prime factorization is 2³ × 3². Click here for more: https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-5/
The prime factorization of 72 is 2³ × 3². To break it down:
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
So the prime factorization is 2³ × 3².
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What should players say in the Idli-Vada game for the first common multiple of 3 and 5?
The correct answer is Idli-Vada. The first common multiple of 3 and 5 is 15. In the Idli-Vada game, players say "Idli" for multiples of 3, "Vada" for multiples of 5, and "Idli-Vada" for multiples of both 3 and 5. Since 15 is a multiple of both 3 and 5, the correct response is "Idli-Vada." Click hereRead more
The correct answer is Idli-Vada. The first common multiple of 3 and 5 is 15. In the Idli-Vada game, players say “Idli” for multiples of 3, “Vada” for multiples of 5, and “Idli-Vada” for multiples of both 3 and 5. Since 15 is a multiple of both 3 and 5, the correct response is “Idli-Vada.”
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What is the smallest prime number?
Therefore, the correct answer is 2. The number that is greater than 1 and has two factors 1 and itself alone is called a prime number. Thus, the smallest prime number is the prime factor 2 because 2 has only two factors, which are 1 and 2. It is the smallest and the only even prime number. Click herRead more
Therefore, the correct answer is 2. The number that is greater than 1 and has two factors 1 and itself alone is called a prime number. Thus, the smallest prime number is the prime factor 2 because 2 has only two factors, which are 1 and 2. It is the smallest and the only even prime number.
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Which aspect of data presentation is most important for clarity?
The correct answer is "Choosing an appropriate scale". The scale of a graph is crucial because it determines how the data is represented visually. An appropriate scale ensures that the data is presented clearly and accurately without distortion. Using too large or too small a scale can lead to misleRead more
The correct answer is “Choosing an appropriate scale”. The scale of a graph is crucial because it determines how the data is represented visually. An appropriate scale ensures that the data is presented clearly and accurately without distortion. Using too large or too small a scale can lead to misleading interpretations.
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See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-4/
What is the first step in organizing data?
The correct answer is "Collecting the data". First, one has to collect all the information in order to organize it. It is impossible to analyze or organize data without proper collection. After collecting the data, it can then be analyzed and presented through graphs or reports. Click here for more:Read more
The correct answer is “Collecting the data”. First, one has to collect all the information in order to organize it. It is impossible to analyze or organize data without proper collection. After collecting the data, it can then be analyzed and presented through graphs or reports.
Click here for more:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-4/
In the Collatz sequence, what operation is applied if the number is odd?
The correct answer is "Multiply by 3 and add 1". In the Collatz sequence, if the number is odd, it is multiplied by 3 and then 1 is added to the result. This operation continues until the number eventually reaches 1. The sequence follows the pattern: if odd, multiply by 3 and add 1; if even, divideRead more
The correct answer is “Multiply by 3 and add 1”. In the Collatz sequence, if the number is odd, it is multiplied by 3 and then 1 is added to the result. This operation continues until the number eventually reaches 1. The sequence follows the pattern: if odd, multiply by 3 and add 1; if even, divide by 2.
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A composite number is one that has:
A composite number is one that has more than two factors. It can be divided by at least one number other than 1 and itself. For example 4 is a composite number because its factors are 1 2 and 4. Unlike prime numbers which only have two factors composite numbers have additional factors. Click here foRead more
A composite number is one that has more than two factors. It can be divided by at least one number other than 1 and itself. For example 4 is a composite number because its factors are 1 2 and 4. Unlike prime numbers which only have two factors composite numbers have additional factors.
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Five fair coins are tossed simultaneously. The probability of the events that at least one head comes up is
When five fair coins are tossed simultaneously the probability of getting at least one head is found using the complement rule 1. Total possible outcomes when tossing 5 coins = 2⁵ = 32 2. Only unfavorable outcome is getting all tails which happens in one way: TTTTT 3. Probability of getting all tailRead more
When five fair coins are tossed simultaneously the probability of getting at least one head is found using the complement rule
1. Total possible outcomes when tossing 5 coins = 2⁵ = 32
2. Only unfavorable outcome is getting all tails which happens in one way: TTTTT
3. Probability of getting all tails = 1/32
4. Probability of getting at least one head = 1 – P(all tails) = 1 – 1/32 = 31/32
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If for any two events A and B, P(A) = 4/5 and P(A ∩ B) = 7/10, then P(B/A) is equal to
Given: P(A) = 4/5 P(A ∩ B) = 7/10 Using the conditional probability formula: P(B|A) = P(A ∩ B) / P(A) Substituting the values: P(B|A) = (7/10) ÷ (4/5) = (7/10) × (5/4) = 35/40 = 7/8 So the correct answer is 7/8 Click here for more: https://www.tiwariacademy.com/ncert-solutions/class-12/maths/#chapteRead more
Given:
P(A) = 4/5
P(A ∩ B) = 7/10
Using the conditional probability formula:
P(B|A) = P(A ∩ B) / P(A)
Substituting the values:
P(B|A) = (7/10) ÷ (4/5)
= (7/10) × (5/4) = 35/40 = 7/8
So the correct answer is 7/8
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Three persons A, B and C, fire at a target in turn, starting with A. Their probability of hitting the target are 0.4, 0.3 and 0.2 respectively. The probability of two hits is
Given: P(A hits) = 0.4 P(B hits) = 0.3 P(C hits) = 0.2 To find the probability of exactly two hits, we consider the cases where exactly two of A, B, and C hit the target: 1. A and B hit, C misses: P(A ∩ B ∩ C') = (0.4) × (0.3) × (1 - 0.2) = 0.4 × 0.3 × 0.8 = 0.096 2. A and C hit, B misses: P(A ∩ B'Read more
Given:
P(A hits) = 0.4
P(B hits) = 0.3
P(C hits) = 0.2
To find the probability of exactly two hits, we consider the cases where exactly two of A, B, and C hit the target:
1. A and B hit, C misses:
P(A ∩ B ∩ C’) = (0.4) × (0.3) × (1 – 0.2)
= 0.4 × 0.3 × 0.8 = 0.096
2. A and C hit, B misses:
P(A ∩ B’ ∩ C) = (0.4) × (1 – 0.3) × (0.2)
= 0.4 × 0.7 × 0.2 = 0.056
3. B and C hit, A misses:
P(A’ ∩ B ∩ C) = (1 – 0.4) × (0.3) × (0.2)
= 0.6 × 0.3 × 0.2 = 0.036
Total probability of exactly two hits:
P = 0.096 + 0.056 + 0.036 = 0.188
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