To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number <em>subtracted </em>from the square root. In other words, the conjugate of 
would be
.
Applying that information to our fraction shown here, the conjugate of the denominator would be 
. We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.
Our answer is 
.
Answer:
x= -3
y= -5
Step-by-step explanation:
10y - 3x = -41
+
-5y + 3x = 16
10y + (-5y) = 5y
-3x + 3x = 0
-41 + 16 = -25
5y + 0 = -25
y = -25/5
y= -5
10y -3× = -41
(10×-5) - 3x = -41
- 3x = - 41 + 50
- 3x = 9
x = -3
Answer: 4y/(y+3)
Explanation:
{(2y)(4y-12)}/{(y-3)(2y+6)}
= (8y^2 - 24y)/(2y^2 + 6y - 6y - 18)
= (8y^2 - 24y)/(2y^2 - 18)
= {8y(y-3)}/{2(y+3)(y-3)}
= 2 * 4y/{2(y+3)}
= 4y/(y+3)
Answer:
Step-by-step explanation:
In the two independent samples application, it involves the test of hypothesis that is the difference in population means, μ1 - μ2. The null hypothesis is always that there is no difference between groups with respect to means.
Null hypothesis: ∪₁ = ∪₂. where ∪₁ represent the mean of sample 1 and ∪₂ represent the mean of sample 2.
A researcher can hypothesize that the first mean is larger than the second (H1: μ1 > μ2 ), that the first mean is smaller than the second (H1: μ1 < μ2 ), or that the means are different (H1: μ1 ≠ μ2 ). These ae the alternative hypothesis.
Thus for the z test:
if n₁ > 30 and n₂ > 30
z = X₁ - X₂ / {Sp[√(1/n₁ + 1/n₂)]}
where Sp is √{ [(n₁-1)s₁² + (n₂-1)s₂²] / (n₁+n₂-2)}
Answer:
the answer is C
Step-by-step explanation:
