The growth of the bacteria is represented by the exponential growth equation. Given the initial population, the four-fold increase, and the time interval for the increase, we can find the population after any given time by using the equation P = 200 * 4^(t/2.5).
The problem given is an example of an exponential growth problem. For these types of problems, we use the formula P = P0 * e^(kt), where P is the final population, P0 is the initial population, k is the growth rate, and t is time. However, in this case, we were given that the bacteria quadruples, meaning 'quadrupling' is not a continuous rate, so we use a slightly different form of the equation: P = P0 * (b)^(t/t0), where b is the times increase and t0 is the time interval for the b-fold increase.
Given that the initial population P0 is 200 bacteria, b is 4 because the population quadruples every 150 minutes, and time t0 is 150 minutes or 2.5 hours. We need to find the population P after t hours. Substituting these values into our equation gives us: P = 200 * 4^(t/2.5).
So, after t hours, the population of the bacteria will be given by the equation P = 200 * 4^(t/2.5).
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How much does a t-shirt cost?
How much does a hat cost?
Answer:
£2
Step-by-step explanation:
Let T represent T-shirt and H represent hat
5T + H = £27.00
2T + H = £12.00 Subtract two equation
5T + H - 2T - H = £27 - £12 ➡ 3T = £15 and T = £5 this is the cost for a t-shirt
If a t-shirt costs £5 and 2 t-shirt + a hat costs £12 then a hat costs £2
Answer:
m= -84
Step-by-step explanation:
Step 1- Multiply both sides by 7
42-m= 126
Step 2- Move constant to the right hand side and change its sign
-m= 126-42
Step 3- Subtract the numbers
-m= 84
Step 4- Change the signs on both sides of the equation
m= -84
c. 3C5P(S)?P(A15
b. 5C3P(S)3P(F2
d. 5C3P(S)3P(F)5
The probability of 3 successes in 5 trials is represented by '5C3P(S)³P(F)²'. This equation reflects the combination of possible successful events, multiplied by the probability of success raised to the number of successes, and the probability of failure raised to the number of failures.
The correct answer is d. 5C3P(S)³P(F)².
Probability of success in binomial problems is given by the equation P(S) = nCr * (p)ⁿ * (q)ⁿ-r where n is the number of trials, r is the number of successful trials, p is the probability of success, and q is the probability of failure (1-p). In this case, there are 5 trials and 3 successes, so your p to the power of 3 (P(S)³) represents the probability of success and the your q to the power 2 (P(F)²) represents the probability of failure. The 5C3 in front is a combination which shows how many ways 3 successes can occur in 5 trials.
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Answer: option B: 5C3P(S)3P(F)2
Step-by-step explanation:
correct on Edge 2020