Answer:
28/32 and 26/32
Step-by-step explanation:
A common denominator of 8 and 16 is 32.
7/8 = (7 * 4)/(8 * 4) = 28/32
13/16 = (13 * 2)/(16 * 2) = 26/32
Two equivalent fractions with a common denominator are 28/32 and 26/32.
Answer:
Option 3) Closer to 0
Step-by-step explanation:
Correlation:
- Correlation is a technique that help us to find or define a relationship between two variables.
- A positive correlation means that an increase in one quantity leads to an increase in another quantity
- A negative correlation means with increase in one quantity the other quantity decreases.
- Range of Correlation
Values between 0 and 0.3 tells about a weak positive linear relationship, values between 0.3 and 0.7 shows a moderate positive correlation and a correlation of 0.7 and 1.0 states a strong positive linear relationship.
Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.
- A value of 0 tells that there is no correlation between the two variables.
Thus, for the given situation, if there is no relationship between two quantitative variables then the value of the correlation coefficient, r, is close to 0
Answer:
∠x = 13.43°
Step-by-step explanation:
area ΔABC = 1/2 ( BD x AC) = 1/2 (22 x AC) = 42
22 x AC = 84 AC = 84/22 = 42/11 = 3.82
CD = BD - BC = 22 - 6 = 16
AD² = AC² + CD² = (3.82)² + 16² = 270.59
AD = 16.45
sin ∠x = AC / AD = 3.82 / 16.45 = 0.2322
∠x = 13.43°
Answer:
- (x-y^2)(x^2 +xy^2 +y^4)
- (a^2 +b)(a^4 -a^2b +b^2)
- (m^3-n)(m^6 +m^3n +n^2)
- (p+k^3)(p^2 -pk^3 +k^6)
- (a^2+b^3)(a^4 -a^2b^3 +b^6)
- (x-y)(x^2 +xy +y^2)(x^6 +x^3y^3 +y^6)
Step-by-step explanation:
In every case, the factorization makes use of the standard form for factoring the sum or difference of cubes:
- a^3 +b^3 = (a +b)(a^2 -ab +b^2)
- a^3 -b^3 = (a -b)(a^2 +ab +b^2)
1. a=x, b=y^2. Use the formula for the difference.
2. a^2 ⇒ a, b = b. Use the formula for the sum.
3. a=m^3, b=n. Use the formula for the difference.
4. a=p b=k^3. Use the formula for the sum.
5. a^2 ⇒ a, b^3 ⇒ b. Use the formula for the sum.
6. a=x^3, b=y^3. Use the formula for the difference. When you do, the first factor is the difference x^3 -y^3, which can be factored using the difference formula again with a=x, b=y.
