Answer:
Step-by-step explanation:
The derivative of an addition/subtraction of terms is the addition/subtraction of the derivatives of these terms.
The derivative of a constant is 0.
The derivative of is
. The derivative of
is
, for example.
The derivative of the ln function:
If we have:
The derivative is
In this problem, we have that:
So and
So the derivative to this function is
Answer:
The domain is all real numbers and the range is non-negative real numbers
(y ≥ 0) ⇒ answer B
Step-by-step explanation:
* Lets revise the parent function of the absolute value
- The absolute value or modulus |x| of a real number x is the
non-negative value of x
- The absolute value of a number means the magnitude of the number
without regard to its sign
- The parent function of the absolute value is f(x) = IxI
∵ The domain of the function is all the values of x which make the
function defined
∵ In the function f(x) = IxI, x can be any number
∴ The domain of the f(x) is any real number
∴ The domain is (-∞ , ∞) or {x : x ∈ R}
∵ The range is the set of values of y that corresponding with the
domain
∵ f(x) = IxI is non-negative value
∴ f(x) ≥ 0
∵ f(x) = y
∴ y ≥ 0
∴ The range is the set of real numbers greater than or equal zero
∴ The range is [0 , ∞) or {y : y ≥ 0}
* The true statement is: The domain is all real numbers and the range is
non-negative real numbers (y ≥ 0)
Answer: The probability that both televisions work : 0.5329
The probability at least one of the two televisions does not work : 0.4671
Step-by-step explanation:
Given : The total number of television : 11
The number of defective television : 3
The probability that the television is defective :
Binomial distribution formula :-
, where P(X) is the probability of getting success in x trials, p is the probability of success and n is the total trials.
If two televisions are randomly selected, then the probability that both televisions work:
The probability at least one of the two televisions does not work :