Answer: at least, 2931 board feet
Step-by-step explanation:
Let x represent the number of board-feet of lumber yards that is produced and sold in a day
The lumber yard has fixed costs of $3810.30 per day and variable costs of $0.91 per board-foot produced. It means that the cost of producing x board-feet of lumber yards is
0.91x + 3810.3
Lumber sells for $2.21 per board-foot. It meas that the revenue from selling x board feet of lumber yard is 2.21x.
Profit = Revenue - total cost
In order to make profit, Revenue must be greater than total cost. Therefore,
2.21x ≥ 0.91x + 3810.3
2.21x - 0.91x ≥ 3810.3
1.3x ≥ 3810.3
x ≥ 3810.3/1.3
x ≥ 2931
The number of board-feet of lumber yard that must be sold to make profit is at least 2931
7) 26%
8) 188
9) 20
10) Can't read 10
12) 192
13) 2.5%
Answer:
(26.2252 ; 27.3748)
Step-by-step explanation:
The confidence interval is given by :
x ± Margin of error
The margin of error = Zcritical * (σ/√(n))
σ = 7.5 ; n = 654
Zcritical = Zα/2 = 1.96
The margin of error = 1.96 * (7.5/√654) = 0.5748
The confidence interval :
Upper boundary = 26.8 + 0.5748 = 27.3748
Lower boundary = 26.8 - 0.5748 = 26.2252
(26.2252 ; 27.3748)
We are 95% confident that the mean BMI of the entire population will fall in between (26.2252 ; 27.3748)
Answer:
4617000000
Step-by-step explanation:
10^9 = 1000000000
1000000000 x 4.6 = 4600000000
10^7 = 10000000
10000000 x 1.7 = 17000000
4600000000 + 17000000 = 4617000000
