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alexdok [17]
2 years ago
11

the x intercept of a line is 2 and the y-intercept is 4 use this information to write equation for the line

Mathematics
2 answers:
IRISSAK [1]2 years ago
6 0

Answer:

y = -2x + 4

Step-by-step explanation:

Two points on this line are (2,0) and (0,4).  Moving from (0,4) to (2,0), x increases by 2 and y decreases by 4.  Thus, the slope of this line is m = -4/2, or m = -2.

Thus, the equation of this line is  y-0 = (-2)(x - 2), or y = -2x + 4.


Fantom [35]2 years ago
5 0

The equation for a line with a y-intercept of 4 and a x-intercept of 2 is y = -2x + 4 where -2 is the slope and 4 is the y-intercept.

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The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a televisi
kondaur [170]

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

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b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

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Step-by-step explanation:

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m = -4 /4 = -1

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Answer:

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