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3 years ago

Help me please, thank you sm

Mathematics

1 answer:

seropon [69]3 years ago

5 0

Answer:

Option B

Step-by-step explanation:

Y=3, when x value is substituted

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Answer:

1.25 means that in one month, her hair will grow 1.25 centimeters.

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3 years ago

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Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0

Stells [14]

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = $\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}$

= - $\frac{16}{8}$

= -2

and y = $\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}$

= $-\frac{40}{8}$

= -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.

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3 years ago

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3 years ago

Children arrive at a house to do Halloween trick-or- treating according to a Poisson process at the unlucky rate of 13/hour. Wha

Art [367]

Answer:

0.4204 probability, option b.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Children arrive at a house to do Halloween trick-or- treating according to a Poisson process at the unlucky rate of 13/hour

13 arrivals during an hour, which means that the mean time between arrivals, in minutes is of $\mu = \frac{13}{60} = 0.2167$

What is the probability that the time between the 15th and 16th arrivals will be more than 4 minutes ?

This is P(X > 4). So

$P(X > 4) = e^{-0.2167*4} = 0.4204$

So the correct answer is given by option b.

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2 years ago

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andrew11 [14]

Step-by-step explanation:

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2 years ago