Answer:
(1238.845 ;1285.376)
Step-by-step explanation:
Conditions for constructing a confidence interval :
Data must be random
Distribution should be normal and independent ;
Based on the conditions above ; data meets initial conditions ;
C. I = sample mean ± margin of error
Given the data :
1241 1210 1267 1314 1211 1299 1246 1280 1291
Mean, xbar = Σx / n = 11359 / 9 = 1262.11
The standard deviation, s = [√Σ(x - xbar)²/n - 1]
Using a calculator ; s = 37.525
The confidence interval :
C.I = xbar ± [Tcritical * s/√n]
Tcritical(0.10 ; df = n - 1 = 9 - 1 = 8)
Tcritical at 90% = 1.860
C. I = 1262.11 ± [1.860 * 37.525/√9]
C.I = 1262.11 ± 23.266
(1238.845 ;1285.376)
± 23.266
The margin of error :
[Tcritical * s/√n]
[1.860 * 37.525/√9]
C.I = ± 23.266
You need to split up the irregular shape into shapes that you are familiar with them find the area of each piece and add it together. i’m not sure if that made sense.
15/8 19/12 5/2 is the answer for this problem
Answer:
y = -1/2x + 9
Step-by-step explanation:
(0, 9) and (8, 5)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(5 - 9) / (8 - 0)
Simplify the parentheses.
= (-4) / (8)
Simplify the fraction.
-4/8
= -1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, 5). Plug in the x and y values into the x and y of the standard equation.
5 = -1/2(8) + b
To find b, multiply the slope and the input of x(8)
5 = -4 + b
Now, add 4 to both sides to isolate b.
9 = b
Plug this into your standard equation.
y = -1/2x + 9
This is your equation.
Check this by plugging in the other point you have not checked yet (0, 9).
y = -1/2x + 9
9 = -1/2(0) + 9
9 = 0 + 9
9 = 9
Your equation is correct.
Hope this helps!
