The mapping diagrams below show 4 different relationships between input and output

Mathematics

1 answer:

anastassius [24]3 years ago

8 0

Answer:

Step-by-step explanation:

In mathematics, a function is defined a relation between two sets, where the input set is called domain and the output set is called range.

A function has a specific rule to be defined as such. An input cannot have to different outputs. In term of diagrams, an element of the input cannot be related (with the arrow) to two different outputs values.

As you can observe in the image, relation D doesn't represents a function, because one input element relates with two output elements.

Therefore, A, B and C represent functions, because they follow the definition of function.

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A national organization has been working with utilities throughout the nation to find sites for large wind machines that generat

kap26 [50]

Answer:

B) At alpha = 0.01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.

Step-by-step explanation:

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 25.

We are using the t-distribution, with test statistic t = 1.25 and 43 - 1 = 42 degrees of freedom. This probability is a right-tailed test.

With the help of a calculator, this p-value is of 0.1091.

Since the p-value of the test is 0.1091 > 0.01, at $\alpha = 0.01$ there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph, and the correct answer is given by option B.