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Reika [66]
3 years ago
7

X3−3=x9+3 what the answer

Mathematics
1 answer:
dlinn [17]3 years ago
3 0

x = x  ≈  − 1.25992104

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Will mark brainiest!!<br> Only answer questions a and b
k0ka [10]

Answer:

f1 ( x ) valid pdf . f2 ( x ) is invalid pdf

k = 1 / 18 , i ) 0.6133 , ii ) 0.84792

Step-by-step explanation:

Solution:-

A) The two pdfs ( f1 ( x ) and f2 ( x ) ) are given as follows:

                     

- To check the legitimacy of a continuous probability density function the area under the curve over the domain must be equal to 1. In other words the following:

                   

- We will perform integration of each given pdf as follows:

                   

                   

Answer: f1 ( x ) is a valid pdf; however, f2 ( x ) is not a valid pdf.

B)

- A random variable ( X ) denotes the resistance of a randomly chosen resistor, and the pdf is given as follows:

                       if  8 ≤ x ≤ 10

                               0  otherwise.

- To determine the value of ( k ) we will impose the condition of validity of a probability function as follows:

                     

- Evaluate the integral as follows:

                     ... Answer

- To determine the CDF of the given probability distribution we will integrate the pdf from the initial point ( 8 ) to a respective value ( x ) as follows:

                     

To determine the probability p ( 8.6 ≤ x ≤ 9.8 ) we will utilize the cdf as follows:

                   p ( 8.6 ≤ x ≤ 9.8 ) = F ( 9.8 ) - F ( 8.6 )

                   p ( 8.6 ≤ x ≤ 9.8 ) =

ii) To determine the conditional probability we will utilize the basic formula as follows:

               p ( x ≤ 9.8  | x ≥ 8.6 ) = p ( 8.6 ≤ x ≤ 9.8 ) / p ( x ≥ 8.6 )

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - p ( x ≤ 8.6 ) ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - 0.27666 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 0.72333 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.84792 ... answer

Hope it helps! ;)

4 0
3 years ago
Functions and Transformations
DaniilM [7]

The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

Width of the Rectangle is x unit

Length is given by  

l(x) = 10 / x

When the length of the Rectangle is increased by 1 ,

The new function will be

l(x) = 10 /(x+1)

The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

This can be proved by keeping the value of x

let x = 2

y = 10 /3 = 3.333

This is only in the graph 3 , Therefore Option C is the right answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

6 0
2 years ago
Calculate the length of the circumference of a circle with diameter of 7cm
Bad White [126]

The circumference of the circle is given by the equation C = pi * D. Incorporating the length of the diameter into the equation, we have,  

C = pi * D

                C = pi * 7cm

                C = 21.99 cm 

8 0
3 years ago
C) Write 2400 000 in standard form.
svp [43]

Answer:

2 400 000

Step-by-step explanation:

divide the numbers into 3

8 0
3 years ago
Read 2 more answers
there are 12 players on the basketball roster. 9 of the players are in the 8th grade. What percent of the team is not in the 8th
alexandr402 [8]
Well there are 12 players and 9 are in 8th grade so the rest is leaving 3 so 3/12 so converted to percentage is 25% hoped this helped
3 0
3 years ago
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