I'm studying a new bacteria that doubles in numbers every 25 minutes. if i start with 50 bacteria, how long until i have 5 million of them

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation . We can find the rate at which it grows by using t=25 minutes and or double the amount at that time. The first step we always take is to divide by A.

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

We know so we were able to cancel it out and divide both sides by 25.

We solve with a calculator

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is .

We repeat the step above substituting A=5,000,000, =50, and r=0.02777. Then solve for t.

t=415.63 minutes

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.