Answer:
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Step-by-step explanation:
Both sides equal each other. Do you want to know how?
√(4 + 16 + 16√3 + 12) = 4√(2 + √3)
Surd Rule: Numbers with the same surd can be added together. Therefore, all whole integers can be added together.
√(4 + 16 + 16√3 + 12)
√((4 + 16 + 12 )+ 16√3 ) =
√(32 + 16√3)
Simplify by Factorising the common factor - 16
√(32 + 16√3) ÷ 16
√(16 (2 + √3))
Square root 16. This is because it is a not a surd because it is not in it's simplest form.
√16 = 4
√4 (2 + √3)
You could simplify 255
100+100+55
for each hundred there's 15$ earned so 15×2 =30$
there's 55 left and 1 till 99 =0.10 each
55×0.10=5.5$
30+5.5=35.5
in short the answer is 35.5$
Answer:
Mean=685
Variance=36.7
Step-by-step explanation:
The mean of uniform discrete distribution can be expressed as the average of the boundaries
mean=( b+a)/2
The variance of uniform discrete distribution can be expressed as the difference of the boundaries decreased by 1 and squared, decreased by 1 and divided by 12.
σ²=[(b-a+1)^2 - 1]/12
We were given the wavelength from from 675 to 695 nm which means
a= 675, b= 695
We can now calculate the mean by using the expresion below
mean=( b+a)/2
Mean=( 675 + 695)/2
=685
The variance can be calculated by using the expression below
σ²=[(b-a+1)^2 - 1]/12
σ²=[(695-675+1)^2 -1]/12
σ²=440/12
σ²=36.7
Therefore, the the mean and variance, of the wavelength distribution for this radiation are 685 and 36.7 respectively
Answer:
an = 7.5 - 5.5(n - 1).
Step-by-step explanation:
The common difference d = -5.5.
The first term is given as 7.5.
Explicit formula is
an = a1 + (n - 1)d
= 7.5 + (n - 1)-5.5
= 7.5 - 5.5(n - 1)
