Answer:
7
Step-by-step explanation:
Answer:

Step-by-step explanation:
From the question we are told that:
Standard Deviation 
Let

Since
Significance level 


Therefore


Generally the equation for Sample size is mathematically given by



Answer:
Below in bold.
Step-by-step explanation:
The hexagon is made up of 6 equilateral triangles.
So the Base = 12 cm.
Height a = 12 cos 30 = 10.392 cm
So area of 1 triangle = 1/2 * 12 * 10.392 cm^2
- and total area = 6 * 1/2 * 12 * 10.392
= 36 * 10.392
= 374.11 cm^2 to the nearest hundredth.
Answer:
That is right if what you are asked is to mirror the value of b to a
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
_____
You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.