Graph Included:The piecewise function h(x) is shown on the graph.What is the value of x when h(x) = −3?−7, -1, 0 , 2
2 answers:
Answer: The value of x=-1 ,when h(x)=-3
Explanation:-
The piecewise function h(x) is shown on the graph. We can see at the left side in the third quadrant x=-1 when y=-3, Thus x=-1 when h(x)=-3 .
On the right side in the fourth quadrant we also have x=2 when y=-3 ,but that point is with open circle which means that point isn't included for the function.
Therefore the value of x=-1 when h(x)= -3.
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Answer:
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the population, we have that:
Mean = 0.5
Standard deviaiton = 0.289
Sample of 12
By the Central Limit Theorem
Mean = 0.5
Standard deviation
The mean of the sampling distribution of x is 0.5 and the standard deviation is 0.083.