Answer:
3x + 10y + 5 (you're answer needs to be 20 characters long )
The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
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Answer:
Step-by-step explanation:
p = 0.05 ( or 5%)
n = 12
Part b)
Expected value = n X p
expected value = 12 X 0.05
Expected value = 0.60
Part c)
Batch will be accepted if the number of defectives is less than 2
P(accepted) = P( x = 0) + P (x = 1)
where x = number of defectives
From binomial formula;
P(X=x) = nCx X p^x X (1-p)^(n-x)
we got n = 12, p = 0.05
P(x=0) = 12C0 X 0.05^0 X (0.95)^12
P(x=0) = 0.54036
P(x=1) = 12C1 X (0.05)61 X (0.95)^11
P(x=1) = 0.34128
P(accepted) = 0.54036 + 0.34128
P(accepted) = 0.88164
Part d)
Standard deviation = √(0.05 X 0.95/12) = 0.062915