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stepan [7]
3 years ago
6

More evaluation that I need help on p.s you do not need to explain your work because I just need the answer

Mathematics
1 answer:
makvit [3.9K]3 years ago
6 0

Your answer is C) 1/9

lol I just solved the other answer sorry but people are going to try and take free points so I needed to give an answer to show that someone did something. Hope I helped anyway. You don't need to mark brainliest, but I'd appreciate it if you did.

<h2>-^_^-</h2>
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Let X be the temperature in at which a certain chemical reaction takes place, and let Y be the temperature in (so Y = 1.8X + 32)
Black_prince [1.1K]

Answer:

See explanation

Step-by-step explanation:

Solution:-

The random variable, Y be the temperature of chemical reaction in degree fahrenheit be a linear expression of a random variable X : The  temperature in at which a certain chemical reaction takes place.

                             Y = 1.8*X + 32

- The median of the random variate "X" is given to be equal to "η". We can mathematically express it as:

                             P ( X ≤ η ) = 0.5

- Then the median of "Y" distribution can be expressed with the help of the relation given:

                             P ( Y ≤ 1.8*η + 32 )

- The left hand side of the inequality can be replaced by the linear relation:

                             P ( 1.8*X + 32 ≤ 1.8*η + 32 )

                             P ( 1.8*X ≤ 1.8*η )   ..... Cancel "1.8" on both sides.

                            P ( X ≤ η ) = 0.5 ...... Proven

Hence,

- Through conjecture we proved that: (1.8*η + 32) has to be the median of distribution "Y".

b)

- Recall that the definition of proportion (p) of distribution that lie within the 90th percentile. It can be mathematically expressed as the probability of random variate "X" at 90th percentile :

                             P ( X ≤ p_.9 ) = 0.9 ..... 90th percentile

- Now use the conjecture given as a linear expression random variate "Y",

          P ( Y ≤ 1.8*p_0.9 + 32 ) = P ( 1.8*X + 32 ≤ 1.8*p_0.9 + 32 )

                                                 = P ( 1.8*X ≤ 1.8*p_0.9 )

                                                 = P ( X  ≤ p_0.9 )

                                                 = 0.9

- So from conjecture we saw that the 90th percentile of "X" distribution is also the 90th percentile of "Y" distribution.

c)

- The more general relation between two random variate "Y" and "X" is given:

                            Y = aX + b

Where, a : is either a positive or negative constant.

- Denote, (np) as the 100th percentile of the X distribution, so the corresponding 100th percentile of the Y distribution would be : (a*np + b).

- When a is positive,

                   P ( Y ≤ a*p_% + b ) = P ( a*X + b ≤ a*p_% + b )

                                                 = P ( a*X ≤ a*p_% )

                                                 = P ( X  ≤ p_% )

                                                 = np_%        

- When a is negative,

                   P ( Y ≤ a*p_% + b ) = P ( a*X + b ≤ a*p_% + b )

                                                 = P ( a*X ≤ a*p_% )

                                                 = P ( X  ≥ p_% )

                                                 = 1 - np_%        

                                                           

4 0
3 years ago
Evaluate 1/3m-1-1/2n when m=21 and n=12
stellarik [79]

Answer:

12

Step-by-step explanation:

8 0
3 years ago
At Southside Middle School, 20% of the students play an instrument. There are 305 students. How many students play an instrument
RoseWind [281]

Answer:

61 Students.

Step-by-step explanation:

So you need to find 20% of 305. You can do this by dividing by 5.

305 divided by 5 equals 61.

If you have questions, ask please :)

4 0
2 years ago
Read 2 more answers
Line L1 has the equation 3x-30y=6<br> Express the equation of L1 in the slope-intercept form
charle [14.2K]
Y= 1/10x + 2/10 is what you are left with once the equation is simplified
4 0
3 years ago
(4x2-25)/(2x2+3x-20)<br> Simplify the expression
mr Goodwill [35]

Answer:

\frac{-17}{16+3x}

Step-by-step explanation:

8-25

4+3x-20

-17

16+3x

3 0
3 years ago
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