Answer:
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Step-by-step explanation:
Let
S = 2b/(b+a)^2 + 2a/(b^2-a^2) factor denominator
= 2b/(b+a)^2 + 2a/((b+a)(b-a)) factor denominators
= 1/(b+a) ( 2b/(b+a) + 2a/(b-a)) find common denominator
= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a)) expand
= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a)) simplify & factor
= 2/(b+a)(b^2+a^2)/((b+a)(b-a)) simplify & rearrange
= 2(b^2+a^2)/((b+a)^2(b-a))
Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2
Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3
Answer:
(a) The sampling distribution of
= Population mean = 79
(b) P ( greater than 81.2 ) = 0.1357
(c) P ( less than or equals 74.4 ) = .0107
(d) P (77.6 less than less than 83.2 ) = .7401
Step-by-step explanation:
Given -
Sample size ( n ) = 81
Population mean 
= 79
Standard deviation 
= 18
(a) Describe the sampling distribution of
For large sample using central limit theorem
the sampling distribution of = Population mean = 79
(b) What is Upper P ( greater than 81.2 ) =
= 
= 
= 
= 1 - .8643 =
= 0.1357
(c) What is Upper P ( less than or equals 74.4 ) =
= 
= 
= .0107
(d) What is Upper P (77.6 less than less than 83.2 ) =
= 
= 
= 
= 0.9821 - .2420
= 0.7401
$25 a month :) (its too short so i hope you have a lovely day)
Answer:
3. x + 18.
4. 8n + 16
Step-by-step explanation:
3. We have to calculate the area of wood present in the frame whose dimensions are given with the question.
Requires area = {(x + 3) × 1} + [(4 - 1) × {(x + 3) - (x - 2)}] = x + 3 + 3 × 5 = x + 18. (Answer)
4. The sum of four consecutive odd numbers where 2n + 1 is the smallest odd number will be
= (2n + 1) + (2n + 3) + (2n + 5) + (2n + 7)
= 8n + 16 (Answer)
