<span>points (6,10)
</span>y = -x
x + y = 0

distance = lax1 + by1 + cl/√(a^2 + b^2)
= l1(6) + 1(10) + 0l/√(1^2 + 1^2)
= l6 + 10 + 0l/√(1 + 1)
= l16l/√2
= 16/√2
= 8 .2/√2
= 8 . √2.√2/√2
= 8√2

4 0

3 years ago

Assume that the Poisson distribution applies and that the mean number of aircraft accidents is 9 per month. Find P(0), the prob

Ugo [173]

Answer: 0.0001

It is unlikely to have a month with no aircraft accidents .

Step-by-step explanation:

Given : Mean number of aircraft accidents = 9 per month

The Poisson distribution formula :-

$\dfrac{e^{-\lambda}\lambda^x}{x!}$ , where $\lambda$ is the mean of the distribution.

If X = the number of aircraft accidents per month, then the probability that in a month, there will be no aircraft accidents will be :-

$\dfrac{e^{-9}(9)^0}{0!}=0.000123409804087\approx0.0001$

Hence, the probability that in a month, there will be no aircraft accidents = 0.0001

Since this is less than 0.5 , therefor it is unlikely to have a month with no aircraft accidents .

5 0

3 years ago

The graph below shows the number of paintballs a machine launches, y, in x seconds:

IrinaVladis [17]

Answer:

The expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4.

Step-by-step explanation:

The x-axis label is Time in seconds, and the x-axis values are from 0 to 20 in increments of 4 for each grid line.

And the y-axis label is Number of Balls and the y-axis values from 0 to 100 in increments of 20 for each grid line.

If the ordered pairs (4,20) and (8,40) are on the graph, then the slope of the line will be represented by

$M = \frac{40 - 20}{8 - 4} = \frac{20}{4}$

Therefore, the expression that can be used to calculate the rate per second at which the machine launches the balls is fraction 20 over 4. (Answer)

5 0

3 years ago

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