Answer:
Step-by-step explanation:
a. This is a decay function, since the final value (A) gets smaller and smaller as the days pass by.
b. The bacteria is decreasing by 75% per day exponentially.
c. In order to calculate the amount of bacteria in a week we simply substitute the variable t for 7 (7 days in a week) and solve for A
A = 200(0.75)^7
A = 26.7 bacteria after 1 week
d. In order to calculate this we need to substitute the variable A with 100 and solve for t
100 = 200(0.75)^t ... divide both side by 200
0.5 = 0.75^t
= t
2.4 = t
It will be half the initial amount after 2.4 days.
Answer:
a) The distance travelled on the cycle in the first 14 seconds is 96 meters.
b) The acceleration in the first 4 seconds is 2 meters per square second.
Step-by-step explanation:
a) The distance travelled by the cycle is equal to the area below the curve, which is the sum of the first triangle and the rectangle:
The distance travelled on the cycle in the first 14 seconds is 96 meters.
b) The acceleration is represented by the slope of the line, which is determined by definition of secant line:
(1)
The acceleration in the first 4 seconds is 2 meters per square second.
The conditional probability that a Philadelphian who got the flu got a flu shot is of:
0.4375 = 43.75%.
<h3>What is Conditional Probability?</h3>
Conditional probability is the probability of one event happening, considering the outcome of a previous event.
The formula is presented as follows:
In which each probability in the formula is described as follows:
- P(B|A) is the probability of the event B happening, given that the event A happened.
is the probability of both the events A and B happening.
- P(A) is the probability of the event A happening.
In the context of this problem, the events are described as follows:
- Event B: Got the flu shot.
The probability of people who got the flu is obtained as follows:
- 2% of 70%. (got the shot).
- 6% of 30%. (did not get the shot).
Hence:
P(A) = 0.02 x 0.7 + 0.06 x 0.3 = 0.032.
The probability of both getting the flu and the shot is:
P(A and B) = 0.02 x 0.7 = 0.014.
Hence the conditional probability that a Philadelphian who got the flu got a flu shot is calculated applying the conditional probability formula as follows:
P(B|A) = P(A and B)/P(A) = 0.014/0.032 = 0.4375 = 43.75%.
More can be learned about conditional probability at brainly.com/question/14398287
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Step-by-step explanation:
The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.
