ANSWER
Approximately after 15 minutes.
EXPLANATION
The growth rate of the first bacteria is
The growth rate of the first bacteria :
To find the time that, there will be an equal number of bacteria, we equate the two equation;
We solve for t to get,
Or
We discard the negative value.
This implies that,
<span>A random sample is drawn from a population with mean μ = 66 and standard deviation σ = 5.5. use table 1.
a. is the sampling distribution of the sample mean with n = 16 and n = 36 normally distributed? yes, both the sample means will have a normal distribution. no, both the sample means will not have a normal distribution. no, only the sample mean with n = 16 will have a normal distribution. no, only the sample mean with n = 36 will have a normal distribution.
b. can you use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 for both sample sizes? yes, for both the sample sizes, standard normal distribution could be used. no, for both the sample sizes, standard normal distribution could not be used. no, only for the sample size with n = 16, standard normal distribution could be used. no, only for the sample size with n = 36, standard normal distribution could be used.
c. calculate the probability that the sample mean falls between 66 and 68 for n = 36. (round intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.)</span>
You actually don't need a graph to be able to solve this equation. As long as you are given two data points, you can already solve for the linear equation.
The most common way of writing linear equations is the slope-intercept form:
y = mx + b, where m is the slope and b is the y-intercept.
The slope is the ratio of the change of y to the change of x coordinates. Let's say point 1 is (-1,3) and point 2 is (2,-3). Then,
m = (-3-3)/(2-⁻1) = -2
Next, we use any of the given point to the standard equation along with the m to find b. Let's use (-1,3)
3 = -2(-1)+b
b = 1
Thus, the complete linear equation is y = -2x + 1. The answer is B.
