Answer:
The correct answer is the scatter plot which has a strong positive slope of the curve of best fit.
Step-by-step explanation:
A scatter plot shows a relationship between two variables for a particular individual. It is actually a graph where we draw a curve of best fit which can represent the whole data. A scatter plot having the correlation coefficient closest to r = 1, is said to have a very strong correlation between the variables.
A scatter plot would have a strong correlation if the data points of the individual are very close to the line or curve of best fit.
For r = 1 , the correlation is strong and positive.
Df/dy=(1350-750)/(2010-2000)
df/dy=60
f(y)=750+60(y-2000) or neatened up a bit...
f(y)=60y-119250 (note: y is the actual year, ie 2005, not year like 2 years from start)
Answer:
46 boxes
Step-by-step explanation:
- First 10 boxes can be bought for
- Next 10 boxes can be bought for
<em>So for a total of </em><em>20 boxes, </em><em>the cost is 
</em>
<u>We have remaining 
</u>
Each additional box costs 3.5, so for 91 dollars, we can get:
boxes
So, total 
boxes can be bought for $221.00
A. True. This is because distances are preserved and kept the same.
B. True. Moving any point to it's corresponding image is having you travel 8 units.
C. True. Corresponding angles are congruent.
D. False. This is not always true so in general it's false.
The final answer is choice D
Answer:
3.85 hours
Step-by-step explanation:
We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:
y = a * e ^ (b * t)
where a and b are constants and t is time.
We know that when the time is 0, we know that there are 100,000 bacteria, therefore:
100000 = a * e ^ (b * 0)
100000 = a * 1
a = 100000
they tell us that when the time is 2 hours, the amount doubles, that is:
200000 = a * e ^ (b * 2)
already knowing that a equals 100,000
e ^ (b * 2) = 2
b * 2 = ln 2
b = (ln 2) / 2
b = 0.3465
Having the value of the constants, we will calculate the value of the time when there are 380000, that is:
380000 = 100000 * (e ^ 0.3465 * t)
3.8 = e ^ 0.3465 * t
ln 3.8 = 0.3465 * t
t = 1.335 / 0.3465
t = 3.85
That is to say that in order to reach this concentration 3.85 hours must pass
