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Answer:
Therefore x=9
Step-by-step explanation:
Give that,
log x+ log (x-3) = log 54
log x(x-3) =log 54 [ ]
x(x-3) = 54
Now expand the above equation to get a quadratic equation
x²-3x=54
⇒x²-9x+6x-54=0
⇒x(x-9)+6(x-9)=0
⇒(x-9)(x+6)=0
⇒x-9=0 or, x+6=0
⇒x=9,-6
Now putting x= -6 in the given expression,
log(-6)+log(-6-9)=log 54.
Since log (-6) does not exist.
Therefore x=9
Answer:
0.0423 is the probability that the adult female has a height less than 61.3 inches.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 65.3 inches
Standard Deviation, σ = 2.32 inches
We are given that the distribution of adult female height is a bell shaped distribution that is a normal distribution.
Formula:
P(adult female has a height less than 61.3 inches)
Calculation the value from standard normal z table, we have,
0.0423 is the probability that the adult female has a height less than 61.3 inches.