MATHEMATICS COLLEGE

The diameter of a particle of contamination (in micrometers) is modeled with the probability density function for . Determine the following (round all of your answers to 3 decimal places): (a) Enter your answer in accordance to the item a) of the question statement .972 (b) Enter your answer in accordance to the item b) of the question statement .0123 (c) Enter your answer in accordance to the item c) of the question statement .028 (d) Enter your answer in accordance to the item d) of the question statement .972 (e) Determine such that . Enter your answer in accordance to the item e) of the question statement

Answers

Answer 1

Answer:

Complete Question

The complete question is shown on the first uploaded image

Answer:

a $P(X < 5) = 0.960$

b $P(X > 8) = 0.016$

c $P(6 < x < 10) = 0.018$

d $P(X < 6 or X > 10 ) = 0.982$

e $X = 2$

Step-by-step explanation:

From the question we are told that

The probability density function is $f(x) = (2)/(x^3)$ for x > 1

Considering question a

$P(x < 5) = \int\limits^5_1 {(2)/(x^3) } \, dx$

=> $P(X < 5) = [-(1)/(x^2) ]| \left \ 5} \atop {1}} \right.$

=> $P(X < 5) = - (1)/(25) + (1)/(1^2)$

=> $P(X < 5) = 0.960$

Considering question b

$P(x > 8) =1 - \int\limits^6_1 {(2)/(x^3) } \, dx$

=> $P(X > 8) =1- [-(1)/(x^2) ]| \left \ 8} \atop {1}} \right.$

=> $P(X > 8) = 1 - [- (1)/(64) + (1)/(1^2)]$

=> $P(X > 8) = 0.016$

Considering question c

$P(6 < x < 10) = \int\limits^(10)_(6) {(2)/(x^3) } \, dx$

=> $P(6 < x < 10) = [-(1)/(x^2) ]| \left \ 10} \atop {6}} \right.$

=> $P(6 < x < 10) = [- (1)/(100) + (1)/(36)]$

=> $P(6 < x < 10) = 0.018$

Considering question d

$P(X < 6 or X > 10 ) = 1 - P(6 < x < 10) = 1 - \int\limits^(10)_(6) {(2)/(x^3) } \, dx$

=> $P(X < 6 or X > 10 ) =1- [-(1)/(x^2) ]| \left \ 10} \atop {6}} \right.$

=> $P(X < 6 or X > 10 ) =1- [- (1)/(100) + (1)/(36)]$ [/tex]

=> $P(X < 6 or X > 10 ) = 0.982$

Considering question e

$P(X < x ) = \int\limits^x_1 {(2)/(x^3) } \, dx = 0.75$

$P(X < x ) = [- (1)/(x^2) ]| \left \ x } \atop {1}} \right. = 0.75$

$P(X < x ) = - (1)/(x^2) - [- (1)/(1^2) ]= 0.75$

$P(X < x ) = - (1)/(x^2) + 1 = 0.75$

$- (1)/(x^2) = -0.25$

$X = 2$

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The Point (0,0) is a solution to which of these inequalities?

Answers

Answer:

(0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Step-by-step explanation:

Given the point (0, 0)

Putting the point (0, 0) the inequality

y+4 < 3x-1

0+4 < 3(0)-1

4 < -1

This is false as -1 can not be greater than 4

y-1 < 3x-4

Putting the point (0, 0) the inequality

0-1 < 3(0)-4

-1 < -4

This is false as -1 can not be lesser than -4

y-4 < 3x-1

Putting the point (0, 0) the inequality

0-4 < 3(0)-1

-4 < -1

This is true as -4 is lesser than -1

y+4 < 3x+1

Putting the point (0, 0) the inequality

0+4 < 3(0)+1

4 < 1

This is false as 4 can not be lesser than 1

Therefore, (0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

On the first day of the fiscal year, a company issues $65,000, 6%, five-year installmentnotes that have annual payments of $15,431. The first note payment consists of $3,900 of
interest and $11,531 of principal repayment.
a. Journalize the entry to record the issuance of the installment notes.
b. Journalize the first annual note payment.

Answers

Answer:

Dr cash $65,000

Cr Notes payable $65,000

repayment:

Dr Notes payable $11,531

Dr interest expense $3,900

Cr Cash $15,431

Step-by-step explanation:

Upon the issuance of the notes,the cash received would be debited to cash account and the same amount credited to notes payable account.

The payment of $15,431 as annual repayment on the notes payable would be credited to cash account as an outflow of cash from the business while the notes payable and interest expense accounts would be debited with $11,531 and$3,900 respectively

Go subscribed to flamingo on you tube btw this is a joke pls dont take down this answer :( also first to answer gets brainiest

Answers

Answer:

i got u homie

Step-by-step explanation:

Answer:

Sure.

Step-by-step explanation:

Plz give me brainliest

What times what equals -20 and those same numbers added together equals 8

Answers

Answer:

10 and -2

Step-by-step explanation:

A four pack of batteries cost 5.16 at this price what is the cost of

Answers

Answer:

1.29 for 1 pack

Step-by-step explanation:

5.16/4=1.29

Houston Elementary School is selecting students to be in the winter festival show. There are 4 roles left but there are 12 students interested in the roles. How many combinations of the twelve students can be chosen for the four remaining roles? A. 505 B. 495 C. 48 D. 16

Answers

The correct answer is C. 48

It's C. 48. Hope this helps. Why does my answer have to be long? Now THAT I will never know.

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