Answer:
x=9
Step-by-step explanation:
Original equation: 16x-8-14x=10
Combine like terms: 2x-8=10
Add 8 to both sides: 2x=18
Divide by 2 on both sides: x=9
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Use the equation for the area of a triangle:

where A = area, h = height of the triangle, and b = base of the triangle.
You know that h=18m and A=99

. Plug those values into the equation and solve for b, the base.
The base is 11m long.
Perimeter of a rectangle can be represented by 2* length + 2 * width
We can represent the width with the variable x
We can represent the length by the expression 3x-1
So, now we can make a forumla and solve
2(3x-1) + 2(x) = 30
6x-2+2x = 30
8x = 32
x = 4 is the width of the rectange.
Now we find the length
3(4)-1
11 = Length
Answer:
Step-by-step explanation:
Given Parameters
Mean,
= 180
total samples, n = 20
Standard dev,
= 30
= 1 - 0.95 = 0.05 at 95% confidence level
Df = n - 1 = 20 - 1 = 19
Critical Value,
, is given by

a).
Confidence Interval,
, is given by the formula



b).
Critical Value,
, is given by

Confidence Interval,
, is given by


= 180 +/- 14.0403
= 165.9597 <
< 194.0403