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Soloha48 [4]
2 years ago
14

Megan purchased 5 square yards of flooring for a total of $270. What was the price of this flooring per square foot?

Mathematics
1 answer:
grin007 [14]2 years ago
5 0

Answer:

$18 per square foot.

Step-by-step explanation:

First there are 3 feet in a yard. So if she purchased 5 square yards there would be 3 times as many square feet soo.

5*3= 15

So there were 15 square feet in the 5 square yards.

Now just divide 270/15 = 18

$18 per square foot.

Hope this helpsss!

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800

Step-by-step explanation:

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1.A rectangle is 6 inches longer than its wide.Write and simply an expression for the perimeter of the rectangle.
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P = 2L + 2W
L = W + 6
P = 2(W + 6) + 2W
P = 2W + 12 + 2W
P = 4W + 12

5 + 2(3x + 4) + x
5 + 6x + 8 + x
5 + 8 + 6x + x
13 + 7x Stop Don't go any further. That's the 11th commandment: Thou shalt not combine unlike terms.

Paul has a long drive. If Shelly waits up she better have some snacks
4*65 + x = 500 The x stands for the number of miles left to go
270 + x = 500 Subtract 280 from both sides
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Just so you know if he keeps going at 65 mph the amount time will be
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2 years ago
Traffic flow is traditionally modeled as a Poisson distribution.A traffic engineer monitors the traffic flowing through an inter
babymother [125]

Answer:

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

Step-by-step explanation:

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

In this problem, we have that:

A traffic engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. So in 2 minutes, 12 cars are expected to flow through the intersection.

If 75% of vehiclesare from state, what is the probability that during next 2 min exactly 5 cars passing an intersection are from state?

We want to know how many of these cars are from state. In 2 minutes, 0.75*12 = 9 cars from the state are expected to pass the intersection, so \mu = 9.

We want to find P(X = 2).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

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There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

7 0
3 years ago
The point (Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction)
sveticcg [70]

The values of cosine Ф and cotangent Ф are \frac{-\sqrt{2} }{2} and -1

Step-by-step explanation:

When a terminal side of an angle intersect the unit circle at

point (x , y), then:

  • The x-coordinate is equal to cosine the angle between the positive part of x-axis and the terminal side
  • The y-coordinate is equal to sine the angle between the positive part of x-axis and the terminal side
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  • If x-coordinate is negative and y-coordinate is positive, then the angle lies in the 2nd quadrant
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∵ The terminal ray of angle Ф intersects the unit circle at point (\frac{-\sqrt{2} }{2},\frac{\sqrt{2} }{2})

- According to the 1st and 2nd notes above

∴ cosФ = x-coordinate of the point

∴ sinФ = y-coordinate of the point

∵ The x-coordinate of the point is negative

∵ They-coordinate of the point is positive

- According the the 4th note above

∴ Angle Ф lies in the 2nd quadrant

∵ x-coordinate = \frac{-\sqrt{2} }{2}

∴ cosФ = \frac{-\sqrt{2} }{2}

∵ y-coordinate = \frac{\sqrt{2} }{2}

∴ sinФ = \frac{\sqrt{2} }{2}

- cotФ is the reciprocal of tanФ

∵ tanФ = sinФ ÷ cosФ

∴ cotФ = cosФ ÷ sinФ

∴ cotФ = \frac{-\sqrt{2} }{2} ÷ \frac{\sqrt{2} }{2}

∴ cotФ = -1

The values of cosine Ф and cotangent Ф are \frac{-\sqrt{2} }{2} and -1

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

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