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2 years ago

How can you tell if a discontinuity of a limit is removable or not removable?

Mathematics

1 answer:

azamat2 years ago

8 0

A discontinuity is present if any of ...

the limit doesn't exist
the limit is not the same as the value of the function

If the one of these that is the cause of discontinuity is the last one and defining the function will make this issue go away, then the discontinuity is removable.

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Solve the system by elimination 4x+3y=-5 -x+3y=-10

Sedaia [141]

Subtract the 2nd row from the 1st row

5x = 5

Solve for x in the equation above

x = 1

Substitute x = 1 into any of the two equations above

Let's pick the first equation; 4x + 3y = -5

4 * 1 + 3y = -5

Solve for y in the equation above

y = -3

Therefore,

x = 1

y = -3

3 0

3 years ago

Please help me out??????

MatroZZZ [7]

Answer:

Your answer should be 54!

6 0

2 years ago

Adding integers with integer tiles

KIM [24]

C.) -1.
Explanation: 4 + -5 = -1. When you have a negative number plus a positive you subtract. Then take the highest numbers positive or negative symbol. Hope that helps.

3 0

2 years ago

A tattoo enthusiast website claims that :

KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

$\\ P(A|B) = \frac{P(A \cap B)}{P(B)}$

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

$\\ P(T|M) = 0.47$

The probability that a person has a tattoo assuming that is of Generation X is:

$\\ P(T|X) = 0.36$

The probability that a person has a tattoo assuming that is of Boomers is:

$\\ P(T|B) = 0.13$

The probability of being of Millennials is:

$\\ P(M) = 0.22$

The probability of being of Generation X is:

$\\ P(X) = 0.20$

The probability of being of Boomers is:

$\\ P(B) = 0.22$

Therefore, the probability of the event of having a tattoo P(T) is:

$\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)$

$\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22$

$\\ P(T) = 0.204$

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

$\\ P(M \cap T) = P(M|T)*P(T)$

$\\ P(T \cap M) = P(T|M)*P(M)$

But

$\\ P(M \cap T) = P(T \cap M)$

Then

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

$\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}$

We have already know that

$\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204$ .

Therefore

$\\ P(M|T) = \frac{0.47*0.22}{0.204}$

$\\ P(M|T) = 0.50686 \approx 0.51$

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

5 0

3 years ago

Analyze Relationships Julio and Jake reading assignments the same day Jake is reading a 168-page book at a rate of 24 pages per

lukranit [14]

24×1 1/4 is 30
Jake reads 24 per day
24×5=121
168-121=47
Julio reads 30 per day
30×5=150
180-150=30
Jake will have 17 more pages left to read than Julio.

5 0

3 years ago