We have been given that a culture of bacteria has an initial population of 22,000 bacteria and doubles every 5 hours. Using the formula
, where P(t) is the population after t hours,
is the initial population, t is the time in hours and d is the doubling time.
We are asked to find the population of bacteria after 17 hours.
First of all, we will substitute our given values in doubling life formula as:

Now to find population of bacteria after 17 hours, we will substitute
in our formula as:





Therefore, the bacteria population will be 232,233 after 17 hours.
Answer:
Step-by-step explanation:
If the dress is 89.75 dollars
the tax is 8%, the sales tax will be:
89.75 x (8/100)=7.18
total price of the dress:
89.75+7.18= $ 96.93
The mean grade on the quiz was 88.
<u>Step-by-step explanation:</u>
We need to find the mean grade of the quiz using the information given.
The mean also known as the average is defined as the sum of data entries in a set divided by the number of entries in the data set.
The standard deviation gives the amount of variation or dispersion of data values present in a data set.
The given data are,
- The standard deviation of the quiz, SD = 3.
- The score 94 is exactly 2 standard deviations above the mean.
The above sentence represents that 94 is above the mean with 2 standard deviations.
⇒ 94 = Mean + 2 standard deviations.
We know the value for standard deviation. So substitute SD= 3 in the expression provided.
⇒ 94 = Mean + (2×3)
⇒ 94 = Mean + 6
To find mean, subtract 6 on both sides.
⇒ 94 -6 = Mean
⇒ Mean = 88
Therefore, the mean grade on the quiz was 88.
Answer:
If a seed is planted, it has a 65% chance of growing into a healthy plant. If 129 randomly selected seeds are planted, answer the following.
a) Which is the correct wording for the random variable?
b) Pick the correct symbol: n Correct = 129
c) Pick the correct symbol: p Correct = 0.65
d) What is the probability that exactly 79 of them grow into a healthy plant? Round final answer to 4 decimal places.
e) What is the probability that less than 79 of them grow into a healthy plant? Round final answer to 4 decimal places.
f) What is the probability that more than 79 of them grow into a healthy plant? Round final answer to 4 decimal places.
g) What is the probability that exactly 80 of them grow into a healthy plant? Round final answer to 4 decimal places.
h) What is the probability that at least 80 of them grow into a healthy plant? Round final answer to 4 decimal places.
i) What is the probability that at most 80 of them grow into a healthy plant Round final answer to 4 decimal places.
X-intercepts: (3,0),(1,0)
Y-intercept: (0,3)