Answer:
a) vertical translation: up five units
b) horizontal translation: right 2 units
c) vertically stretched by 3 units
Step-by-step explanation:
https://www.humbleisd.net/cms/lib2/TX01001414/Centricity/Domain/3611/Square%20Root%20Graphs%202015.pdf
Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
A is your answer
let me know if you have any questions
54 55 59 61 61 62 68 70 72
First put your numbers in order from least to greatest. This shows your minimum is 54 and maximum is 72.
In the middle of the data set is 61.
54 55 59 61. 61. 62 68 70 72
To find the first qaurtile only use the numbers before rhe median (54 55 59 61) and find the median of that. Since 55 and 59 are both in the middle add them both and divide by two to find the middle lf those two numbers. You should get 57. So 57 is the first quartile.
Do the same steps with the numbers after the meadian for your third quartile. You should get 69 as your answer for the third quartile.
Most likely not.
The reason behind this is that the random participants only include just under 10% of the population. This has the ability to oversee minority judgement.
Cluster sampling should be used. This splits the population up into groups. For instance, we could split it up by race and sample that way. Or split it up by net worth. Or occupation. Whatever works best for this survey!
Hope I helped!
