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3 years ago

Solve Using the Elimination Method. x + 6y = 17 -x + 3y = -8

Mathematics

1 answer:

vaieri [72.5K]3 years ago

8 0

Answer:

x =11, y=1

(11,1)

Step-by-step explanation:

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An aquarium tank can hold 6000 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can

Usimov [2.4K]

The answer is 24 minutes

7 0

3 years ago

The quality control manager of a light bulb factory needs to estimate the average life of a large shipment of light bulbs. The p

eimsori [14]

Answer:

b) yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 64

Given standard deviation of the Population (σ)=100

Mean of the sample (x⁻) = 350 hours

95% of confidence interval is determined by

$(x^{-} -Z_{0.95} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.95} \frac{S.D}{\sqrt{n} } )$

( $(350 -1.96 \frac{100}{\sqrt{64} } , 350+1.96\frac{100}{\sqrt{64} } )$

(350-24.5 , 350+24.5)

(325.5 , 374.5)

Conclusion:-

Yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

4 0

3 years ago

What are benefits of good study habits? Check all that apply.

Ymorist [56]

Answer:

1, 3, 4 i hope this helps ;)

Step-by-step explanation:

5 0

3 years ago

HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)

nikitadnepr [17]

Answer:

$\frac{x2}{a} - \frac{y2}{b2} = 1$

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

$\frac{X2}{16} - \frac{b}{4} = 1$

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

I don't feel like explaining so...

a. = 4

The foci c is at +/-2√5, using c² = a² + b²:

B = 2

Substituting the value of a and b to get the equation of the hyperbola:

$\frac{x2}{a2} - \frac{y2}{b2} = 1$

$\frac{x2}{16} - \frac{b2}{4} = 1$

4 0

3 years ago

Which of the following represents the relationship between the circumference, c, and diameter, d, of any circle?

Usimov [2.4K]

Given:

Circumference of a circle = C

Diameter of a circle = d

To find:

The relationship between the circumference, c, and diameter, d, of any circle.

Solution:

We know that, circumference of a circle is

$C=2\pi r$

It can be written as

$C=(2r)\pi$

$C=d\pi$ $[\because d=2r]$

On dividing both sides by d, we get

$\dfrac{C}{d}=\pi$

Therefore, the correct option is (F).

6 0

3 years ago