Answer:
Value of expression in single logarithm is
.
Step-by-step explanation:
Given expression is,

Now using logarithmic rule to solve the expression as follows,
Applying product rule of logarithmic,

Therefore,

Applying power rule of logarithmic,

Therefore,


Applying quotient rule of logarithmic,

Therefore,

Simplifying,



Therefore value of expression is 
Your answer is no solution
Answer:
10
Step-by-step explanation:
((10)^5/10)^2 = 10^1 = 10
The cutoff will be evaluated as follows:
let the cutoff be x
but
P(x>0.01)=1-P(x<0.01)=1-0.01=0.99
the z value corresponding to 0.99% is z=2.33
thus
2.33=(x-600)/60
solving for x we get:
139.8=x-600
x=739.8
Answer:
1.844
Step-by-step explanation:
Given that final exam has 20 multiple choices questions. 10 questions have 5 choices and 10 questions have 4 choices.
So we divide the questions into two groups I and II.
The no of correct answers in I is called U.
U is binomial with n =10 and p = 0.2
Similarly II group, V the no of correct answers would be binomial
with n =10 and p = 0.25
Our random variable X= U+V
Obviously U and V are independent.
We have var (U) = npq = 1.6
Var (V) = npq = 1.875
Var(X) = Var(U+V)
= Var(U)+Var(V) since U and V are independent
= 3.4
STd dev (X) = 