Answer:
105 is the least common denominator
Step-by-step explanation:
Since 7, 5 and 3 are all prime.
LCM would be 7×3×5 = 105
1. V = lwh
V = (8)(4)(5)
V = (32)(5)
V = 160 units³
2. V = lwh + lwh
V = (4)(2)(1) + (3)(1)(1)
V = (8)(1) + (3)(1)
V = 8 + 3
V = 11 units³
3. V = leh + s³
V = (9)(3)(4) + (3)³
V = (27)(4) + 27
V = 108 + 27
V = 135 units³
4. V = lwh
V = (3)(7)(2)
V = (21)(2)
V = 42 units³
All but the first should be linear. Im questionable about the last one but the other 2
should definitely be linear
Answer:
12 and 13
Step-by-step explanation:
(a)
To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)
g(2) = 2(2) - 1 = 4 - 1 = 3, then
f(3) = 3² + 3 = 9 + 3 = 12
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(b)
To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)
f(2) = 2² + 3 = 4 + 3 = 7, then
g(7) = 2(7) - 1 = 14 - 1 = 13
Answer: -1.7
Step-by-step explanation:
Given : Another home business has an average income of $1.200.00 per month with a standard deviation of $100.00.
i.e.

Let x represents the monthly income.
Since . 
For x= 1030 , we have

Hence, the required z-score = -1.7