Answer:
Excel attached with the solution.
Step-by-step explanation:
Mean

Standard deviation

Confidence interval

The formulas used are in the Excel file attached.
area = 2x² + 7x - 4
the area (A ) of a rectangle = length × width
A = (2x - 1 )(x + 4 ) ← expand using FOIL
= 2x² + 8x - x - 4 = 2x² + 7x - 4
Answer:
x = (2+k)/(k-3)
Step-by-step explanation:
k = (3x +2)/(x-1)
First just multiply both sides by (x-1)
(x-1)k = 3x+2
kx - k = 3x+2
Add k both sides and Subtract 3x both sides to get:
kx - 3x = 2+k
Take x out since it's common
x(k-3) = 2+k
Multiply both sides by (k-3)
x = (2+k)/(k-3)
Hope this helps!
E = 7
F = 8
G = 1
First find a number that multiplies by 4 to make a number ending in 2. The options are either 3 or 8.
Try the full multiplication with both 3 and 8 and see which one works.
Using 3 works up until you try and work out E as E would have to be a two digit number for it to work so therefore the answer to F must be 8.
Hope this helped.
Answer:
m<EFG =
, and m<GFH = 
Step-by-step explanation:
Linear pair angles are two supplementary angles.
Thus,
m<EFG + m<GFH = 
2n + 21 + 4n + 15 = 
collecting like terms, we have:
6n + 36 = 
6n =
- 36
6n = 
divide both both sides by 6,
n = 
Therefore,
m<EFG = 2n + 21
= 2 x
+ 21
= 48 + 21
= 
m<GFH = 4n + 15
= 4 x
+ 15
= 96 + 15
= 
Thus m<EFG =
, and m<GFH = 