Answer:
Step-by-step explanation:
3x +2y = 13 -----------------(i)
x + 2y = 7 ----------------(ii)
Multiply the equation (ii) by (-1) and then add.
(i) 3x + 2y = 13
(ii)*(-1) <u>-x - 2y = -7 </u> {Now, add and y will be eliminated}
2x = 6
x = 6/2
x = 3
Plug in x = 3 in equation (i)
3*3 + 2y = 13
9 + 2y = 13
2y= 13 - 9
2y = 4
y = 4/2
y = 2
Answer: Margin of Error = 1.944
Lower Bound = 3.052
Explanation:-
Attached below is a file for monthly Rate of return. Used an excel sheet to determine the confidence interval which seems relatively easier as compared to manual computation. The range below (A2:A40) shows the monthly
Functions used : Standard Deviation as= STDEV (A2:A40)
Sample Mean = AVERAGE(A2:A40)
Margin of Error = CONFIDENCE.T(D4,D5,D2)
Lower Bound Interval = D6-D7 = -3.052
▪ Answer:
9
▪ Step-by-step explanation:
Hi there !
6/2(1 + 2) =
= 3/1 × 3
= 3×3/1
= 9
Good luck !
First you need to get a common denominator. The first two problems already have a common denominator, so you just have to find the sum and difference of the two problems, respectively.
6.) (9y-3)/(y^2-5)
8.) 3/xy^3
Two find a common denominator, find the smallest value that has BOTH denominators as factors.
10.) 8x^3*y^3 is the common denominator
Answer: 2/(8*x^3*y^3)
12.) Factor x^2 + 4x + 4 to get (x+2)(x+2)
Therefore, x+2 is already part of x^2 + 4x + 4
(x+4)/(x^2+4x+4)
14.) Factor both denominators..
4(y+2) and y(y+2)
So the common denominator would be 4y(y+2)
The first fraction is missing a "y" so multiply the numerator by y to get y^2
The second fraction is missing a "4" so multiply the numerator by 4 to get 4
(y^2 - 4)/(4y(y+2))
So can factor the numerator to get (y+2)(y-2). There if a (y+2) on top and bottom so they cancel out.
Answer: (y-2)/4y
