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3 years ago

Hi this is for texaschic101 mainly but anyone else is fine too.

Mathematics

1 answer:

Makovka662 [10]3 years ago

5 0

Because the two angles on the right add to 180 degrees, we can create this system:

$(2x + 25) + y = 180$

We can also prove that $3x = 2x + 25$ , which, when solved, shows that $x = 25$ .

When plugged in to the original equation, we find that y = 105 degrees.

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Consider the line y=-4/7x+4.

Wittaler [7]

Answer:

1). y = -4/7x 2). y = 7/4x - 65/4

Step-by-step explanation:

1). When a line is parallel, the slope remains the same.

y = -4/7x + b

-4 = -4/7(7) + b

-4 = -4 + b

0 = b

The equation is simply y = -4/7x.

2). When a line is perpendicular, the slope becomes the exact opposite.

y = 7/4x + b

-4 = 7/4(7) + b

-4 = 49/4 + b

-65/4 = b

The equation is y = 7/4x - 65/4.

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2 years ago

A toy maker claims his best product has an average lifespan of exactly 14 years. A skeptical quality control specialist asks for

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Answer:

interval = [17.3948 , 20.6052]

Step-by-step explanation:

given,

random sample (n) = 45

average product lifespan = 19 years

standard deviation = 4 years

confidence interval of 99 % = ?

we know,

t* = qt(1.99/2 + 44 ) = qt(0.995,44)

t* = 2.692

so,

interval

$x = 19 \pm t* \times (\dfrac{s}{\sqrt{n}})$

$x = 19 \pm 2.692 \times (\dfrac{4}{\sqrt{45}})$

$x = 19 \pm 2.692 \times 0.5963$

$x = 19 \pm 1.6052$

interval = [19 - 1.6052 , 19 + 1.6052]

interval = [17.3948 , 20.6052]

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Step-by-step explanation:

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