<span>The given function is ⇒⇒⇒ y = x² + 4x + 4
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To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)² ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2 ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function
So, as a conclusion:
f(x) = y = x² + 4x + 4 ⇒⇒⇒ the given function
f⁻¹(x) = y = √x - 2 ⇒⇒⇒ the inverse of the given function
Answer:
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Answer: 50
Explanation:
Since 5% of the values are missing, the expected number of records to be removed is interpreted as the expected value of the records to be removed whose probability of having missing values is 0.05.
Hence, the number of records that are expected to be removed is given by
Expected Value = (number of records)(probability of having a missing value)
= (1000)(0.05)
Expected Value = 50
Answer:
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Step-by-step explanation:
