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Studentka2010 [4]
3 years ago
11

Please help me solve this:

Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

\frac{y_2-y_2}{x_2-x_1}=m=\frac{-5-3}{1_(_1)} \\ m=-\frac{8} {2}=-4\\ \frac{y-y_1}{x-x_1}=m\\ \fracp{y-3}{x+1}=-4\\y-3=-4(x+1)\\ y-3=-4x-4\\y=-4x-1

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write the following inequality in slope-intercept form. –6x 2y ≤ 42 a. y ≥ 3x 21 b. y ≤ 3x – 21 c. y ≥ 3x – 21 d. y ≤ 3x 21
borishaifa [10]
-6x + 2y =< 42
2y =< 6x + 42
y =< 3x + 21
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3 years ago
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The owners of an industrial plant want to determine which of two types of fuel (gas or electricity) will produce more useful ene
madreJ [45]

Answer:

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

Step-by-step explanation:

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

Alternative hypothesis: \mu_e \neq \mu_g

Or equivalently:

Null hypothesis :\mu_e - \mu_g = 0

Alternative hypothesis: \mu_e - \mu_g \neq 0

Other important thing is that on the alternative hypothesis we never can have the symbol equal.  

So on this case the best options is:

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

7 0
3 years ago
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Answer:

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Step-by-step explanation:

     

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Answer:

Option A -\frac{19}{74}+\frac{71}{74}i

Step-by-step explanation:

we know that

To divide complex numbers, you must multiply by the conjugate.

we have

\frac{-8+3i}{5+7i}

To find the conjugate, change the sign between the two terms in the denominator

so

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3 years ago
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