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<span>11(23-x)
= 11(23) - 11x
= 253 - 11x</span>
Answer:
b/(b+a)
Step-by-step explanation:
(1/a)-(1/b) :[ (b²-a²)/ab²]
first solve :
common denominator ab
(1/a)-(1/b) = (b-a)/ab
[b-a/ab] : [(b²-a²)/ab²]
when divide fraction ( division sign turn to (×) and flip the second fraction(reciprocal):
[b-a/ab] × [ab²/ (b²-a²)]
then simplify : ab²/ab = b
(b-a)×(b/b²-a²)
factorize : b²-a² = (b-a)(b+a)
(b-a)×(b/(b-a)(b+a)) simplify : (b-a)/b-a = 1
[(b-a)(b)]/[(b-a)(b+a)
b/b+a
Answer:
There is significant evidence that treatment will create effect on the subject. Hence We reject H0
Step-by-step explanation:
H0 : μ = 37
H1 : μ ≠ 37
μ = 37 ; σ = 7 ; sample size, x = 51 ; sample size, n = 1
Decision region :
If P value < α ;
Reject H0
Using the Z test statistic :
Zstatistic = (x - μ) ÷ (σ / √n)
Zstatistic = (51 - 37) ÷ (7 / 1)
Zstatistic = 14 ÷ 7
Zstatistic = 2
Obtaining p value from Zstatistic using the p value calculator ;
Zscore = 2 ; 2-tailed test, significance level = 0.05
P value = 0.0455
Zcritical at α = 0.05 for a 2 - tailed test = 1.96
0.0455 < 0.05
There is significant evidence that treatment will create effect on the subject. Hence We reject H0
A rectangle is a quadrilateral with either two opposite sides equal and parallel to each other. That is AB is parallel and equal to CD and AD parallel and equal to BC. Parallel lines have equal slopes.
Thus, AB slope is 2, while that of CD is also 2, therefore they are parallel to each other. In addition the modulus of AB and that of CD is the same thus they are equal in length.
AD slope is -1/2 while that of BC is also -1/2 therefore the two are parallel to each other. In addition they are equal in length therefore they are equal in length.
Moreover AB is perpendicular to BC and AD (product of slope of two perpendicular lines is -1)
Therefore, it can be concluded that Quadrilateral ABCD is a rectangle.
