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3 years ago

Determine the intercepts of the line. -4x + 7 = 2y - 3

Mathematics

1 answer:

Strike441 [17]3 years ago

5 0

x- intercept = 5/2

y - intercept = 5

Step-by-step explanation:

the intercepts of a line are found by plugging in x=0 and y = 0

For x-intercept, we put y = 0

and

For- y-intercept we put =0

Given equation is:

$-4x + 7 = 2y - 3\\Putting\ y = 0\\-4x + 7 = 2(0) - 3\\-4x+7 = -3\\-4x = -3-7\\-4x = -10$

Dividing both sides by -4

$\frac{-4x}{-4} = \frac{-10}{-4}\\ = \frac{5}{2}$

Putting x = 0

$-4x + 7 = 2y - 3\\-4(0)+7 = 2y -3\\7 = 2y-3\\7+3 = 2y\\2y = 10$

Dividing both sides by 2

$\frac{2y}{2} = \frac{10}{2}\\y = 5$

So,

x- intercept = 5/2

y - intercept = 5

Keywords: Intercepts, lines

Learn more about intercepts at:

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Answer:

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Step-by-step explanation:

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For safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills

Evgen [1.6K]

Answer:

Step-by-step explanation:

<u>Probability of Independent Events</u>

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We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.

We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.

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