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adell [148]
3 years ago
5

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:

  • brainly.com/question/12954015
  • brainly.com/question/12932203

#LearnwithBrainly

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suter [353]

Answer:

FALSE, (2, 9) is not a solution to the set of inequalities given.

Step-by-step explanation:

Simply replace x by 2 and y by 9 in the inequalities and see if the inequality is true or not:

irst inequality:

y\geq 4x\\9\geq 4\,(2)\\9\geq 8

so thi inequality is verified as true since 9 is larger or equal than 8

Now the second inequality:

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This is FALSE since 9 is larger than 4 (not smaller)

Therefore the answer to the question is FALSE, (2, 9) is not a solution to the set of inequalities given.

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

<em>99.93%</em>

Step-by-step explanation:

<u>Probability of Independent Events</u>

Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.

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.

The probability that none of the systems detect the theft is

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Thus, the probability that at least one of the systems detect the theft is

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That means a 99.93%

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Answer number 5 click image.
natita [175]
That makes 55200*0.62=34224 people.
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