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
Renee earns a 15% commission on her $200 sales.
0.15 * 200 = $30
So, she earns 30 dollars from commission.
She also earns $80 a week, which makes a total of 80 + 30 = $110
Hence, the answer is $110
From the figure, you can say that angle E is equal to angle C because they both are vertically opposite. So, you can find angle D by substracting angle E and D from 360° (sum of angles at a point) and dividing the answer by two:
360°-54°-54° = 252°
252°÷2 = 126°
Then, you can find angle H by substracting the values of angle G and angle D from 180° (sum of angles in a triangle):
180°-126°-29° = 25°
Therefore, the answer is 25°.
I hope this answered your question :)
The sector area is = pi * r^2 (circumference/360). Do the work inside the () first and then multiply by pi r^2
Answer:
their son is a carrier of the trait but its not shown physically
Step-by-step explanation: