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monitta
3 years ago
11

Which ordered pair identifies a point in Quadrant IV? A) (2, 5) B) (0, 1) C) (-1, -1) D) (12, -5)

Mathematics
1 answer:
MariettaO [177]3 years ago
4 0
Correct Answer:
Option D (12, -5)

In Quadrant IV, the x-component of the point is positive and the y-component is negative. From the given points, option D contains the point with a positive x-component i.e.12 and negative y-component i.e -5. Therefore, this point lies in Quadrant IV.
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Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.

The random variable <em>X</em> is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is,\lambda=\frac{1}{\mu}=\frac{1}{7}.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0

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P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx

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Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

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