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sineoko [7]
3 years ago
15

Can you help me find the value of x and y. I am very confused.

Mathematics
1 answer:
Monica [59]3 years ago
8 0
Hello,
Let's assume top left  corner: A
top right corner : B
Bottom right corner: C
Bottom left corner :D

M= middle of [CD]

ABM is a triangle rectangular isocel:

(3√2)²+(3√2)²=y²
==>y²=2*9*2
==>y²=36
==>y=6

The triangle BCM is rectangular with MB=3√2, MC=y/2=3
x²+3²=(3√2)²
==>x²=9*2-9
==>x²=9
==>x=3

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Step-by-step explanation:

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3 years ago
The owners of an industrial plant want to determine which of two types of fuel (gas or electricity) will produce more useful ene
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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
An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8). Which equation represen
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We know that
<span>Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.
</span>Then 
a²<span> will go with the </span>y<span> part of the equation
</span>Also, since the focus is 8 <span>units below the center, then </span><span>c = 8
</span>since the vertex is 17<span> units above, then </span><span>a = 17
</span>The equation b²<span> = a</span>²<span> – c</span>²<span> gives me
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the equation is
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the answer is
y²/289+x²/225=1

see the attached figure

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