Answer:
d. 60k
Step-by-step explanation:
The sample mean is the midpoint between the lower and the upper limit of the confidence interval, that is, the sum of the lower and the upper limit divided by 2.
In this problem, we have that:
Lower limit: 50k
Upper limit: 70k
(50k + 70k)/2 = 60k
So the correct answer is:
total cost= $5,814
Total linear feet measured: (110 x 2) + (270 x 2) = 760 linear ft
total sq ft= 760 x (7) = 5320 sq ft
total linear ft x labor= 760 x 1.70 = 1292 labor
Total sq ft x Cyclone fencing cost= 5320 x .85 = 4522
the total cost is 1292 + 4522 = $5,814
880
20 x 10% = 2
20 + 2 = 22
22 x 40 = 880
The possible values of a + b are 0.89, 3.01 and -3.9
The given parameters are:
y = a + ib
z = 24 + i3
Where:
y = ∛z
Take the cube of both sides
y³ = z
Substitute the values for y and z
(a + ib)³ = 24 + i3
Expand
a³ + 3a²(ib) + 3a(ib)² + (ib)³ = 24 + i3
Further, expand
a³ + i3a²b + i²3ab² + i³b³ = 24 + i3
In complex numbers;
i² = -1 and i³= -i
So, we have:
a³ + i3a²b + (-1)3ab² -ib³ = 24 + i3
Further expand
a³ + i3a²b - 3ab² - ib³ = 24 + i3
By comparing both sides of the equation, we have:
a³ - 3ab² = 24
i3a²b - ib³ = i3
Divide through by i
3a²b - b³ = 3
Using a graphing tool, we have:
(a,b) = (-1.55, 2.44), (2.89,0.12) and (-1.34,-2.56)
Add these values
a + b = 0.89, 3.01 and -3.9
Hence, the possible values of a + b are 0.89, 3.01 and -3.9
Read more about complex numbers at:
brainly.com/question/10662770
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Answer: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392
Basically just count by 8. Simple.
