For this case we have that by definition, the point-slope equation of a line is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have two points:
We found the slope:
Thus, the equation is of the form:
We substitute one of the points and find "b":
Finally, the equation is:
Answer:
Answer:
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Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Let 'X' be the random variable in Poisson distribution
<em>Mean of the Poisson distribution λ or ∝ = 3 per (cm³)</em>
Given n = 5 samples
<u><em>Step(ii):-</em></u>
<em>The probability that at least one sample will contain one or more bacterial colonies</em>
<em>P(X≥1) = 1-P(X< 1) </em>
<em> = 1 - P( X=0)</em>
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Answer:
Step-by-step explanation:
Average speed = distance/time
Trip to dry dock
Let x be the velocity
Time = 2hours
Distance = average speed ×time
Distance = x×2
Distance = 2x
Return trip
Velocity = x-5 (5 miles per hour faster on the trip there than on the return trip)
Time = 3hrs
Distance = 3(x-5)
Since the distance is the same both to and fro;
2x = 3(x-5)
2x = 3x -15
2x-3x = -15
-x = 15
x = 15
Hence the aircraft carrier's average speed on the outbound trip is 15miles/hour
Answer:
Step-by-step explanation:
<u>Given information</u>
f(x) = 3x² + x - 3
g(x) = 5x
<u>Given expression</u>
f(x) g(x)
<u>Substitute values into the given expression</u>
(3x² + x - 2) (5x)
<u>Expand the parenthesis by distributive property</u>
3x² · 5x + x · 5x - 2 · 5x
(3 · 5) (x² · x) + 5 (x · x) - (2 · 5) x
Hope this helps!! :)
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