<h3>
Answer: 0.21</h3>
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Explanation:
All of the values in the P(x) column must add to 1.
The value 1 in probability means 100%
Let y be the missing value in the table
0.25+y+0.39+0.15 = 1
y+0.79 = 1
y = 1-0.79
y = 0.21
The probability that x = 4 is 0.21
In other words, P(4) = 0.21
Or that we have a 21% chance of having x = 4 happen.
The rate of change which is also the ratio of the rise to the run value of a graph.
- Rate of change = 7.5
- Steeper slope if rate of change = $10
- Steeper slope if amount owed = $40
Rate of change :
Rise / Run
From the graph :
y2 = - 60 ; y1 = 0 ; x2 = 0 ; x1 = 8
Rise = y2 - y1 = (-60 - 0) = - 60
Run = x2 - x1 = (0 - 8) = - 8
Rate of change = - 60 ÷ - 8 = 7.5
Hence, Devon's debt changes by 7.5 with respect to x
B.).
If Devon paid $10 every week instead of $7.5
- He would be able to pay his debt more quickly
- Hence, leading to a steeper slope on the graph
C.)
If Devon only had owed $40
- Debt will be lesser, meaning that repayment time will be lower
- At the same number of weeks, the graph will have a steeper slope.
Therefore, rate of change gives information about the slope of a graph, higher rate of change values results in steeper slopes.
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The answer is -14.14285714285714
<u> </u><u>{x | x ≤ 4.5} </u><u> is another way to represent this </u><u>solution set.</u>
- A set is open if every point in is an interior point. A set is closed if it contains all of its boundary points.
What is open set example?
- An open subset of R is a subset E of R such that for every x in E there exists ϵ > 0 such that Bϵ(x) is contained in E.
- For example, the open interval (2,5) is an open set. Any open interval is an open set. Both R and the empty set are open.
What is an example of a closed set?
- The simplest example of a closed set is a closed interval of the real line [a,b].
- Any closed interval of the real numbers contains its boundary points by definition and is, therefore, a closed set.
- The closed interval [1,4] contains the limit points 1 and 4 so it is a closed set.
Then number-line shows a closed dot at 4.5. This shows that x is a number that is less than or equal to 4.5.
Learn more about closed set
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Answer:
Step-by-step explanation:
We are given that differential equation
Taking integration on both sides
Using identity:
Substitute
Differentiate w.r.t x
Substitute
Differentiate w.r.t y
Substitute the values then we get
Using identity:
By using formula :
Substitute the values then we get