Table b represents a function, the reason being that for each value of input, there is one and only one value of output.
There's nothing answered in that.
Answer:
(d) μ and σ²/n
Step-by-step explanation:
In a sampling distribution of sample means, the mean is equal to the population mean, which is μ.
The standard deviation of the sampling distribution of sample means is given by
σ/√n.
The variance of a distribution is the square of the standard deviation; this means the variance of the sampling distribution of sample means would be
(σ/√n)² = σ²/(√n)² = σ²/n
Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Answer:
last one
Step-by-step explanation: In a function the domain cannot repeat. The last one's domain is not repeating while the other ones from the other options are repeating.