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4 years ago

The correct answer for this problem

Mathematics

1 answer:

Ymorist [56]4 years ago

6 0

Answer:

b is the correct answer for that problem

Step-by-step explanation:

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What is the equation of a line that is parallel to 4x+6y+5=0 and passes through the points (6,9)

OLga [1]

Step-by-step explanation:

Equation of given line is:

$4x+6y+5=0 \\ \therefore \: 6y = - 4x - 5 \\ \\ \therefore \: y = \frac{ - 4x - 5}{6} \\ \\ \therefore \: y = \frac{ - 4x}{6} - \frac{5}{6} \\ \\ \therefore \: y = - \frac{ 2}{3}x - \frac{5}{6}...(1) \\ equating \: eq \: (1) \: with \: y = mx + c, \:we \:\\ find : \\ slope \: of \: given \: line \: (m) = - \frac{ 2}{3} \\ \because \: required \: line \: is \: \parallel \: to \: given \: line \\ \therefore \: slope \: of \: required \: line \\ = slope \: of \: given \: line \: (m) = - \frac{ 2}{3} \\ \because \: required \: line \: passes \: through \: \\ point \: (6, \: 9) \\ \therefore \: \: equation \: of \: line \: in \: slope \: point \: \\ form \: is \: given \: as: \\ y-y_1=m(x-x_1) \\ \therefore \:y - 9 = - \frac{ 2}{3}(x - 6) \\ \therefore \:3(y - 9 )= - 2(x - 6) \\ \therefore \:3y - 27= - 2x + 12 \\ \therefore \:2x + 3y - 27 - 12 = 0 \\ \purple{ \boxed{\therefore \:2x + 3y - 39 = 0}} \\ is \: the \: equation \: of \: required \: line$

4 0

4 years ago

Calculate the Area: 6ft 3ft 8ft I need this asap

SSSSS [86.1K]

Answer:

Answer is 72

Step-by-step explanation:

6 times 8 is 48. 3 needs to be divided by 2 to made into 1.5. Then multiply 48 and 1.5 to make 72ft your answer

6 0

2 years ago

Read 2 more answers

Circuit boards from two assembly lines set up to produce identical boards are mixed in one storage tray. As inspectors examine t

madreJ [45]

Answer:

a) X = 2/15 , 8/15, 1/3

b) attached below ( probability plot )

C) F(x ) attached below

d) cumulative probability plot

Step-by-step explanation:

a) Determine the probability of Function X

P( x = 0 ) = 6 / 45 = 2 /15 = 0.1333

P( x = 1 ) = 8/15 = 0.5333

P( x = 2 ) = 1/3 = 0.3333

Hence the probability of Function X = 2/15 , 8/15, 1/3

b) Graph of the probability Function of X

x 0 1 2

p(x) 0.1333 0.5333 0.3333

attached below is the plot ( probability plot )

c) Determine the Distribution function of CX

using the results achieved in part ( a )

attached below is the solution

d) Graph of distribution function of X

x 0 1 2

p(x) 0.1333 0.6667 1

attached below is the plot ( cumulative probability plot )

5 0

3 years ago

An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonet

Alexandra [31]

Answer:

The variable x will follow a geometric distribution, with mean = 3 and standard deviation = 3.46.

The values for P(x) are:

$P(0)=0.25\\\\P(1)=0.1875\\\\P(2)=0.1406\\\\P(3)=0.1055\\\\P(4)=0.0791\\\\P(5)=0.0593\\\\P(6)=0.0445\\\\P(7)=0.0334\\\\P(8)=0.025\\\\P(9)=0.0188\\\\P(10)=0.0141\\\\$

Step-by-step explanation:

This kind of random variables can be descripted by the geometrical distribution.

This distribution shows the probability of having an amount of "failures" before the first "success" (or the other way).

Let x be the number of trustworthy FBI agents tested until someone fails the test. The probability of failing a test is p=0.25

Then, the probability of x is:

$P(x)=q^x\cdot p$

The values for the first x are:

$P(0)=0.75^0\cdot 0.25=0.25\\\\P(1)=0.75^1\cdot 0.25=0.1875\\\\P(2)=0.75^2\cdot 0.25=0.1406\\\\P(3)=0.75^3\cdot 0.25=0.1055\\\\P(4)=0.75^4\cdot 0.25=0.0791\\\\P(5)=0.75^5\cdot 0.25=0.0593\\\\P(6)=0.75^6\cdot 0.25=0.0445\\\\P(7)=0.75^7\cdot 0.25=0.0334\\\\P(8)=0.75^8\cdot 0.25=0.025\\\\P(9)=0.75^9\cdot 0.25=0.0188\\\\P(10)=0.75^{10}\cdot 0.25=0.0141\\\\$