Answer: {10, -3}
Step-by-step explanation:
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Answer:
Step-by-step explanation:
step 1
Find out the lateral area of the pillars
we know that
The lateral area of a rectangular prism is equal to
where
P is the perimeter of the base
H is the height of the prism
Determine the perimeter of the base
----> is a square base
The lateral area is equal to
Remember that the number of pillars is 2
so
step 2
Find the cost of tiling the pillars at the rate of Rs 52 per square feet
Multiply the lateral area of the two pillars by the rate
so
t + c = 32
0.80 t + 0.40 c = 18
Multiplying the first by 0.8
0.8 t + 0.8 c = 0.8 (32) = 25.6
Subtracting,
0.8 c - 0.40 c = 25.6 - 18
0.40 c = 7.6
c = 7.6/.4 = 19
Answer: 19 cans of corn
Check
t = 32-19 = 13
.8(13)+.4(19) = 18 good
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