Answer: Option A and Option B.
Step-by-step explanation:
You need to remember the logarithms properties:

You can observe in Option A:
(This is true)
You can observe in Option B:
(This is true)
You can observe in Option C:
(This is not true)
You can observe in Option D:
(This is not true)
Sin (30°) =

AB = sin (30°) x 96 = 48cm
Answer:
(a)
-- Population Mean
(b)
--- Population standard deviation
(c) See Explanation
Step-by-step explanation:
Given:
Cigarette tax for 20 regions
Solving (a): The population mean
This is calculated as:




So, we have:


Solving (b): The population standard deviation
This is calculated as:



So:



Solving (c):
Population mean tells the average amount while the standard deviation represents the spread from the calculated mean
Option (4) is correct
Answer:
96
Step-by-step explanation:
commom difference = d
a₆ + a₇ = 16
a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16
a₄ + a₉ = (a₆ - 2d) + (a₇ + 2d) = a₆ + a₇ = 16
Similarly,
a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16
so
a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96
64^(4/3)
= 256
32^(3/5)
= 8
625^(3/4)
= 125
81^(5/4)
= 243