Answers:
1) The dependent variable is the boiling point of water and the independent variable is the altitude.
2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.
Explanation:
1) given
Table:
<span>Altitude
(in thousands of feet) Boiling Point of Water (Fahrenheit)
(sea level) 0
212
0.5 211.1
1.0 210
2.0 208.4
2.5 207.5
3.0 206.6
4.0 204.8
4.5 203.9
2) The independent variable is the input of the function, and the dependent variable is the output of the function.
The input determines the output once the rule is established.
Therefore:
a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.
3) The slope of the graph would be:
change in the dependent variable change in boiling point
slope = --------------------------------------------------- = ---------------------------------
</span> change in the independent variable change in altitude
Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.
If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.
If the slope is negative, means that as the altitude increase the boiling point of water decrease.
You can calculate the slope using any two pair of points (data)
212 - 210 2
slope =---------------- = ------- = - 2
0 - 1 - 1
or, using other pair of points:
204.8 - 210 -5.2
slope = --------------------- = --------- = -2.6
4.0 - 2.0 2.0
As you see, the slope is not constant. So, the function is not linear.
<u>Correct Question</u>
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?
Answer:
L=7
Step-by-step explanation:
From the first row: 2J+K=5
Therefore: K=5-2J
From the second column, 2K+J=7
Substitute K derived above into 2K+J=7
2K+J=7
2(5-2J)+J=7
10-4J+J=7
-3J=7-10
-3J=-3
J=1
Recall: K=5-2J
K=5-2(1)=3
K=3
From the third column, J+2L=15
1+2L=15
2L=15-1=14
L=7
Therefore, the value of L=7
CHECK:
Answer:
Refexive I think
Step-by-step explanation:
5(3) = 3(5)
or
x(y) = y(x)
I found this
"Anything equals itself: this is the "reflexive" (reflecting onto itself) property. Also, it doesn't matter which order the equality is in; if x = y, then y = x: this is the "symmetric" (they match) property."
Answer:
Note: <em>The full question is attached as picture below</em>
<em />
1. The manufacturer is taking a sample of her friends, which is most convenient to sample - Convenience sampling
2. The whole population is divided into different groups (strata) and random samples are drawn from each group - Stratified sampling
3. The population is divided into different clusters (here, communities) and whole clusters are surveyed - Cluster sampling
4. The samples are drawn at a fixed interval from the population list - Systematic sampling
5. The samples are randomly drawn from the population - Simple random sampling
