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icang [17]
3 years ago
13

Is slope undefined when both numerator and denominator is negative?

Mathematics
1 answer:
elixir [45]3 years ago
6 0

No, certainly not.  The slope is undefined if and when the line in question is vertical.

You might be interested in
If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul
Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, \mu = \frac{3}{20} = 0.15

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

P(X \leq 1) = P(X = 0) + P(X = 1)

Then

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607

P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0
2 years ago
Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
  • y = 8

So the age is 48.

6 0
1 year ago
A car travels at a speed of s miles per hour. It covers 126 miles in 3 hours.
makvit [3.9K]

Answer:

s=42

Step-by-step explanation: 126 divided by 3 = 42

42mph

8 0
2 years ago
I really need the answer immediately!!!!!!!!!
igor_vitrenko [27]

Answer

y = 0.2x − 7

Step-by-step explanation:

Find the slope first by subtracting (10, -5) and (5, -6) in slope formula, this will equal 1/5 or 0.2

Then find the y-intercept which is the point that crosses the y-axis, in this case -7 is the y-intercept

Finally format in y=mx + b for slope-intercept form

y=0.2x-7

5 0
2 years ago
Which best describes the range of the function f(x)=2/3(6)x after it has been reflected over the x axis
shtirl [24]
The range is all real numbers.

The function given simplifies to just f(x) = 4x.

This is just a straight line that is increasing from left to right. If we reflect the line over the x-axis, it is still a line that goes on forever in each direction.

Therefore, the range will be all real numbers.
4 0
3 years ago
Read 2 more answers
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