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2 years ago

Zx and Zy are supplementary angles. Zy measures 108°,

Mathematics

1 answer:

gulaghasi [49]2 years ago

4 0

Answer:

72°

Step-by-step explanation:

Given

Zy = 108°

Zx = ?

We know

Zx + Zy = 180° {being supplementary angles }

Zx + 108° = 180°

Zx = 180° - 108°

Zx = 72°

Hope it will help :)

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Write the equation of the line that passes through the point (-3, 6) and is parallel to the line

Ugo [173]

Answer:

$\because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}$

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2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=3%20%5Cdiv%20153%20%3D%20" id="TexFormula1" title="3 \div 153 = " alt="3 \div 153 = " align="a

beks73 [17]

If you're looking for the simplified version of the fraction, you have to factor both numerator and denominator.

The numerator is actually already a prime number, so we're good

The denominator factors as $153 = 3^2\cdot 17$

So, a 3 appears in both numerator and denominator. We can simplify it:

$\cfrac{3}{153} = \cfrac{3}{3^2\cdot 17} = \cfrac{1}{3\cdot 17} = \cfrac{1}{51}$

If you want to compute the approximated value of this fraction, simply plug these values into some calculator to get

$\cfrac{1}{51} \approx 0.0196078431372\ldots$

5 0

2 years ago

Read 2 more answers

What is the measure of angle x?<br> Enter your answer in the box.<br> mZx = 37 82

ikadub [295]

Answer:61

Step-by-step explanation:

Its common logic

5 0

2 years ago

Assuming the incident of fires for individual reactors can be described by a Poisson distribution, what is the probability that

Maksim231197 [3]

Complete Question

The Brown's Ferry incident of 1975 focused national attention on the ever-present danger of fires breaking out in nuclear power plants. The Nuclear Regulatory Commission has estimated that with present technology there will be on average, one fire for every 10 years for a reactor. Suppose that a certain state has two reactors on line in 2020 and they behave independently of one another. Assuming the incident of fires for individual reactors can be described by a Poisson distribution, what is the probability that by 2030 at least two fires will have occurred at these reactors?

Answer:

The value is $P(x_1 + x_2 \ge 2 )= 0.5940$

Step-by-step explanation:

From the question we are told that

The rate at which fire breaks out every 10 years is $\lambda = 1$

Generally the probability distribution function for Poisson distribution is mathematically represented as

$P(x) = \frac{\lambda^x}{ k! } * e^{-\lambda}$

Here x represent the number of state which is 2 i.e $x_1 \ \ and \ \ x_2$

Generally the probability that by 2030 at least two fires will have occurred at these reactors is mathematically represented as

$P(x_1 + x_2 \ge 2 ) = 1 - P(x_1 + x_2 \le 1 )$

=> $P(x_1 + x_2 \ge 2 ) = 1 - [P(x_1 + x_2 = 0 ) + P( x_1 + x_2 = 1 )]$

=> $P(x_1 + x_2 \ge 2 ) = 1 - [ P(x_1 = 0 , x_2 = 0 ) + P( x_1 = 0 , x_2 = 1 ) + P(x_1 , x_2 = 0)]$

=> $P(x_1 + x_2 \ge 2 ) = 1 - P(x_1 = 0)P(x_2 = 0 ) + P( x_1 = 0 ) P( x_2 = 1 )+ P(x_1 = 1 )P(x_2 = 0)$

=> $P(x_1 + x_2 \ge 2 ) = 1 - \{ [ \frac{1^0}{ 0! } * e^{-1}] * [[ \frac{1^0}{ 0! } * e^{-1}]] )+ ( [ \frac{1^1}{1! } * e^{-1}] * [[ \frac{1^1}{ 1! } * e^{-1}]] ) + ( [ \frac{1^1}{ 1! } * e^{-1}] * [[ \frac{1^0}{ 0! } * e^{-1}]]) \}$

=> $P(x_1 + x_2 \ge 2 )= 1- [[0.3678 * 0.3679] + [0.3678 * 0.3679] + [0.3678 * 0.3679] ]$

$P(x_1 + x_2 \ge 2 )= 0.5940$

3 0

2 years ago

Eight is less than twice its number

Anni [7]

Answer:

2x-8

Step-by-step explanation:

From the question the meaning of the expression is

Let the number be x

2x - 8

I hope this was helpful, please mark as brainliest

3 0

2 years ago