The Theoretical probability is 1/6. The experimental probability is 1/5
It’s C
You divide it all by 2 so basically a would be (9,5) and b would be (12,2) and c would be (6,2)
Answer:
The equation of the line of best fit is y = x + 2
Step-by-step explanation:
<em>To find the equation of the line of best fit chose two points when the line passing through them the number of points over it equals the number of point below it</em>
- The form of the equation is y = m x + b, where m is the slope of the line and b is the y-intercept (y at x = 0)
- The formula of the slope is
From the attached graph the points (37 , 39) and (47 , 49) are the best choice to make the equation of the line of best fit
∵ The line passes through points (37 , 39) and (47 , 49)
∴ = 37 and = 47
∴ = 39 and = 49
- Substitute them in the formula of the slope
∵
∴ m = 1
- Substitute the value of m in the form of the equation
∴ y = (1) x + b
∴ y = x + b
- To find b substitute x and y in the equation by the coordinates
of one of the two points above
∵ x = 37 and y = 39
∴ 39 = 37 + b
- Subtract 37 from both sides
∴ 2 = b
∴ y = x + 2
The equation of the line of best fit is y = x + 2
Answer:
6
Step-by-step explanation:
6.9 - 5 = 1.9
1.9 + 4.1 = 6
Answers:
- Exponential and increasing
- Exponential and decreasing
- Linear and decreasing
- Linear and increasing
- Exponential and increasing
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Explanation:
Problems 1, 2, and 5 are exponential functions of the form where b is the base of the exponent and 'a' is the starting term (when x=0).
If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.
If b > 1, then we have exponential growth or increase. Population models could be one example; though keep in mind that there is a carrying capacity at some point. The exponential curve goes uphill when moving to the right.
In problems 1 and 5, we have b = 2 and b = 1.1 respectively. We can see b > 1 leads to exponential growth. I recommend making either a graph or table of values to see what's going on.
Meanwhile, problem 2 has b = 0.8 to represent exponential decay of 20%. It loses 20% of its value each time x increases by 1.
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Problems 3 and 4 are linear functions of the form y = mx+b
m = slope
b = y intercept
This b value is not to be confused with the previously mentioned b value used with exponential functions. They're two different things. Unfortunately letters tend to get reused.
If m is positive, then the linear function is said to be increasing. The line goes uphill when moving to the right.
On the other hand if m is negative, then we go downhill while moving to the right. This line is decreasing.
Problem 3 has a negative slope, so it is decreasing. Problem 4 has a positive slope which is increasing.