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3 years ago

Find the value of x for which the lines r and s are parallel

Mathematics

2 answers:

a_sh-v [17]3 years ago

5 0

Answer: 12

Step-by-step explanation:

Anna11 [10]3 years ago

5 0

Find the value of x for which the lines r and s are parallel
It’s 12

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3 years ago

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larisa86 [58]

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3 years ago

A circle has a sector with area \dfrac{17}{2}\pi 2 17 πstart fraction, 17, divided by, 2, end fraction, pi and central angle o

Nataliya [291]

Answer:

The area of the circle is equal to $9\pi$ .

Step-by-step explanation:

Given that,

The area of sector is, $\dfrac{17}{2}\pi$

The central angle is $\dfrac{17}{9}\pi$

We need to find the area of circle.

We know that,

$\text{Area of sector}=\dfrac{\text{central angle}}{2\pi}\times \text{Area of circle}\\\\\text{Area of circle}=\dfrac{2\pi \times \text{Area of sector}}{\text{central angle}}\\\\=\dfrac{2\pi \times \dfrac{17\pi}{2}}{\dfrac{17\pi }{9}}\\\\=9\pi$

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5 0

3 years ago

Assume that the Poisson distribution applies to the number of births at a particular hospital during a randomly selected day. As

kakasveta [241]

Answer:

0.9999985 = 99.99985% probability that in a day, there will be at least 1 birth.

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 interval.

Assume that the mean number of births per day at this hospital is 13.4224.

This means that $\mu = 13.4224$

Find the probability that in a day, there will be at least 1 birth.

This is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = \frac{e^{-13.4224}*13.4224^{0}}{(0)!} = 0.0000015$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000015 = 0.9999985
$

0.9999985 = 99.99985% probability that in a day, there will be at least 1 birth.

7 0

3 years ago

Find the value of x for which the lines r and s are parallel​

Find the value of x for which the lines r and s are parallel