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3 years ago

PICTURE^^ PLZ HELP !!!

Mathematics

1 answer:

densk [106]3 years ago

3 0

QUESTION A

The solutions to the system of equations are the point of intersection of the quadratic graph and the straight line.

The two curves intersected at two points. Hence there are two real solutions.

The solutions are (-3,-1) and (-6,5).

QUESTION B.

The straight line is a tangent to the quadratic graph.

This means that the straight line intersected the quadratic graph at only one point.

The system has only one real solution.

The solution is (4,3).

QUESTION C

The quadratic graph and the straight line intersected at two distinct points.

The system has two real solutions.

The solutions are (0,3) and (6,-3).

QUESTION D

The two graphs are hanging apart.

There is no point of intersection.

The system has no real solutions.

QUESTION E

The straight line and the quadratic curve intersected at two distinct points.

The system has two real solutions.

The solutions are (0,0) and (1,1).

QUESTION F

The two curves intersected at only one point.

There is only one real solution to the system.

The solution is (-1,5).

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d. H0: $(\mu_e - \mu_g) = 0$ vs. $Ha: (\mu_e - \mu_g) \neq 0$

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A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.

Null hypothesis : $\mu_e = \mu_g$