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notka56 [123]
2 years ago
13

If < A and < B are a linear pair, and < A = 68 °, then < B = _____.

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
8 0

The sum of linear pair of is 180 degrees. The measure of angles B is 112 degrees

<h3>Linear pair</h3>

The sum of linear pair of is 180 degrees.

Given the following parameters

<A = 68 degrees

Required

<B

Since <A + <B = 180

68 + <B = 180

<B = 180 - 68
<B = 112 degrees

Hence the measure of angles B is 112 degrees

Learn more on linear pair here: brainly.com/question/13218054

#SPJ1

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Answer C and D please
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Answer:

C. solution:

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D. solution:

5(5-2a) = 4(6-a)

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The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the
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Answer:

The probability that the wait time is greater than 14 minutes  is 0.4786.

Step-by-step explanation:

The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, <em>β</em> = 19 minutes.

The random variable <em>X</em> follows an Exponential distribution with parameter \lambda=\frac{1}{\beta}=\frac{1}{19}.

The probability distribution function of <em>X</em> is:

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Compute the value of the event (<em>X</em> > 14) as follows:

P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786

Thus, the probability that the wait time is greater than 14 minutes  is 0.4786.

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Answer: 14

Step-by-step explanation:

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