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3 years ago

Find the distance between each pair of points. (7 1/2, -6) and (7 1/2, -2 1/2)

Mathematics

1 answer:

bezimeni [28]3 years ago

6 0

Answer:

7/2

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(7 1/2 - 7 1/2)² + [-2 1/2 - (-6)]²

√(0)² + (7/2)²

√49/4

= 7/2

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What is the solution to the equation fraction 1 over 4x = 5?

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2 years ago

The length of a planet's orbit around a star is approximately 17,650,000 km.

daser333 [38]

Answer:

1150 km/hr

Step-by-step explanation:

Formula for Average Speed is given as = Distance in Kilometers/ Time in Hours

In the question we are given the following parameters.

The length of a planet's orbit around a star = Distance = 17,650,000 km.

Time taken to complete a full orbit = 640 Earth days

Step 1

We need to convert the time in days to hours

1 Earth day = 24 hours

640 Earth days =

We cross multiply

640 Earth days × 24 hours

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Step 2

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Therefore, the planets average speed in kmh-1 to 3sf is 1150 km/hr

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3 years ago

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3 years ago

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2 years ago

The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of thr

cluponka [151]

Answer:

The correct answer is:

$\lambda=0.375 \ jobs \ per \ hour$
$\mu=0.5 \ jobs \ per \ hour$

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

= $\frac{8 \ hours}{3 \ jobs}$

= $2.666 \ hours \ per \ job$

The jobs per hour will be:

⇒ $\lambda=\frac{1}{2.666}$

$=0.375$

(b)

⇒ Service rate = jobs per hour

then,

μ = $\frac{1 \ repair \ job}{2 \ hours}$

= $0.5 \ jobs$

7 0

3 years ago