The growth of a sample of bacteria can be modeled by the function bt=1001.06t where b is the number of bacteria and t is time in
1 answer:
Given:
The growth of a sample of bacteria can be modeled by the function
where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,
where, b is the number of bacteria and t is time in hours.
Substituting t=3, we get the number of total bacteria after 3 hours.
Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.
Therefore, the number of total bacteria after 3 hours is about 3003.
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Answer:
a) There is a 18.73% probability that exactly two students use credit cards because of the rewards program.
b) There is a 71.62% probability that more than two students use credit cards because of the rewards program.
c) There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.
Step-by-step explanation:
There are only two possible outcomes. Either the student use credit cards because of the rewards program, or they use for other reason. So, we can solve this problem by the binomial distribution.
Binomial probability
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
In this problem, we have that:
10 student are sampled, so
34% of college students say they use credit cards because of the rewards program, so
(a) exactly two
This is P(X = 2).
There is a 18.73% probability that exactly two students use credit cards because of the rewards program.
(b) more than two
This is .
Either a value is larger than two, or it is smaller of equal. The sum of the decimal probabilities must be 1. So:
In which
So
There is a 71.62% probability that more than two students use credit cards because of the rewards program.
(c) between two and five inclusive
This is:
There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.
Answer:
s + b = $24,000
And,
s = 3b + $6,000
Step-by-step explanation:
Let us assume the stock be s
And, the bonds be b
So according to the question
It is given that
s + b = $24,000
And,
s = 3b + $6,000
The answers are
s + b = $24,000
And,
s = 3b + $6,000
The same would be considered
