Answer:
1) P(0) = 5000
2) P(t --> ∞) = 25000
Step-by-step explanation:
P(t) = (25t² + 125t + 200)/(t² + 5t + 40)
1) Population at the moment corresponds to population at t = 0
P(0) = (25(0²) + 125(0) + 200)/(0² + 5(0) + 40) = (0 + 0 + 200)/(0 + 0 + 40) = 5 thousand = 5000 (P was stated to be in thousands)
2) Population in the long term corresponds to the population as t --> ∞
P(t) = (25t² + 125t + 200)/(t² + 5t + 40)
Divide through the numerator and denominator by t²
P(t) = (25 + (125/t) + (200/t²))/(1 + 5/t + (40/t²))
P(t --> ∞) = (25 + 0 + 0)/(1 + 0 + 0) (Since, (1/∞) = 0)
P(t --> ∞) = 25 thousand = 25000
Answer:
A
Step-by-step explanation:
31%
The blue says 31%
Answer:
y = x+7
Step-by-step explanation:
Assuming all of these numbers are ordered pairs (coordinates) when x is 1 y is 8, when x is 2 y is 9 and so on. If you notice y is going up by 1 every time so it follows that the starting point (y intercept) must be 7. Therefore, our equation will be y = x + 7.
Test it out:
Let x =2
y = 2 + 7 = 9 This matches our coordinate (2,9) so it's correct.
Let x =4
y = 4 + 7 = 11 This matches our coordinate (4,11) so it's correct.
Feel free to try out the rest of the coordinates, but usually 2 is enough to confirm that your equation is correct.
Answer: x = 0
Step-by-step explanation:
The hole in the graph (a discontinuity) exist where the function doesn't exist. Because anything divided by zero is undefined, then the function would not exit at 0, thus having a hole/discontinuity.
Answer:
0.812 = 81.2% probability that a randomly chosen chip will pass the test
Step-by-step explanation:
Over the long run, the fraction of bad chips produced by the process is 20%.
So 100 - 20 = 80% are good.
All good chips pass the test, while 6% of the bad chips(20%) also pass.
a) (4 points) What is the probability that a randomly chosen chip will pass the test
0.812 = 81.2% probability that a randomly chosen chip will pass the test
