Answer:
Therefore the age of paint is 8915.78 years.
Step-by-step explanation:
Given that, the paint contain 34 % of the original carbon-14.
The exponential decay model for carbon-14 is
A= Remaining amount of carbon.
= initial amount of carbon.
Here A= 34% of
Taking ln both sides
Therefore the age of paint is 8915.78 years.
D=114.4 kilometers
T=22 minutes
R= 114.4 km /22 min
R= 5.2 km/min
The value of correlation coefficient (r) for the dataset is 0.981
<h3>What is correlation coefficient (r)?</h3>
The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.
The dataset is given as:
- x: 8 15 3 7 2 14
- y: 15 21 6 12 3 20
Using a graphing calculator, we have the following parameters:
<h3>X Values
</h3>
- ∑x = 49
- Mean = 8.167
- ∑(X - Mx)2 = SSx = 146.833
<h3>Y Values
</h3>
- ∑y = 77
- Mean = 12.833
- ∑(Y - My)2 = SSy = 266.833
<h3>X and Y Combined
</h3>
- N = 6
- ∑(X - Mx)(Y - My) = 194.167
The correlation coefficient (r) is then calculated as:
This gives
Approximate
Hence, the value of correlation coefficient (r) for the dataset is 0.981
Read more about correlation coefficient at:
brainly.com/question/4219149
Answer: A
Step-by-step explanation:
See attached picture
Answer:
10
Step-by-step explanation:
Substitute n for 10, 11 and 13
45 - 10 = 35
45 - 11 = 34
45 - 12 = 33
The answer is ten because when substituting n for 10, the equation
35 = 45 - 10
is true