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3 years ago

Solve the system of equations. y = 9x y= 2x+56

Mathematics

1 answer:

nadya68 [22]3 years ago

5 0

Answer:

(8, 72)

Step-by-step explanation:

Here we have two separate equations for y: y = 9x and y = 2x + 56.

Equating these equations eliminates y temporarily; we get:

9x = 2x + 56, or 7x = 56. Dividing both sides by 7 results in x = 8.

Then, by the first equation, y = 9(8) = 72.

The solution is (8, 72).

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A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From

lutik1710 [3]

Answer:

a) $z = 1.645$

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$ , which means that the answer of question a is z = 1.645.

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

$M = 12, \sigma = 124.88$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$12 = 1.645*\frac{124.88}{\sqrt{n}}$

$12\sqrt{n} = 205.43$

$\sqrt{n} = \frac{205.43}{12}$

$\sqrt{n} = 17.12$

$\sqrt{n}^{2} = (17.12)^{2}$

$n = 293$

The should sample at least 293 small claims.

8 0

3 years ago

A figure is shown with parallel lines a and b. What is the measure, in degrees, of ∠r?

Novay_Z [31]

Answer:

42 degrees

Step-by-step explanation:

48 and r are equal.

The box means right angle, or 90 degrees

180-90-48=42 degrees

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3 years ago

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X = 4. 5x +23x^3 - 360.

Zinaida [17]

Missing: 360 ‎| ‎Must include: ‎360

look at

https://www.google.com/search?q=x+%3D+4.+5x+%2B23x%5E3+-+360&rlz=1CAJAIV_enUS838&oq=x+%3D+4.+5x+%2B23x%5E3+-+360&aqs=chrome..69i57&sourceid=chrome&ie=UTF-8&safe=active&ssui=on

4 0

4 years ago

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B +2.01 =5.5 what dose b equal

Rom4ik [11]

Answer:

3.49

Step-by-step explanation:

B = 5.5-2.01 = 3.49

have a great day!

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3 years ago

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“I think I can make it. I’ll just jump.” says Denis, flashing a grin as he looks to the neighboring rooftop.

Tasya [4]

Answer:

I likr=e the Story 12

Step-by-step explanation:

I really like how they jump and 1+1=2 right or is it 3???

Hmmm...

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3 years ago