Can anyone help with this domain and range? Thank you!
1 answer:
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Answer:
a) Function? No
b) Domain:
c) Range:
Step-by-step explanation:
a) Function? No
We want to determine whether the graph of the relation is a function or not.
When we draw a straight line at x=-1, it will intersect the graph at several points, therefore the graph fails the vertical line test and hence it is not a function.
b) The domain refers to all x-values for which the function is defined.
From the graph the domain is because the ends of the graph are closed.
c) The range is the set of all y-values for which the graph is defined.
From the graph the range is
Answer:
a) sample size ≥ 30
b) 0.0017
Step-by-step explanation:
a) The central limit theorem states that for population with mean μ and standard deviation σ and take sufficiently large random samples from the population. This will hold provided the sample size is sufficiently large (usually n > 30) for a normal population.
Therefore the sample size should be greater or equal to 30 i.e n ≥ 30.
b) Given that n = 45, μ = 11.4 minutes and σ = 3.2 minutes, the z score (z) is given by the equation:
Substituting values to get:
Using the z table:
P(x < 10) = P(z < -2.93) = 0.0017
the probability that a random sample of n=45 oil changes results in a sample mean time of less than 10 minutes is 0.0017