For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
We then have the following equation:
y = 57 (1.31) ^ t
The initial number of bacteria is 57 and the growth rate is 31% per hour.
Answer:
B. The initial number of bacteria is 57 and the growth rate is 31% per hour
Answer:
f(x) = 0x + 5
Step-by-step explanation:
Lets use the slope formula to determine the slope of this graph:

SO we know the slope is zero.
If we know the slope is zero, then the y intercept must be at 5.
So the equation would be:
f(x) = 0x + 5
Using the binomial distribution, there is a 0.1201 = 12.01% probability that Alysha will win the bet.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the parameters are given as follows:
n = 20, p = 0.5.
She wins the bet if there are 12 boys, hence the probability is P(X = 12), found as follows:


0.1201 = 12.01% probability that Alysha will win the bet.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Value of x is -1
The correct first step to solving the inequality is distributing the -4 into the para thesis