Answer:
6
Step-by-step explanation:
To find the missing number, subtract: 52 - 46 = 6
A range of 2 reveals that the smallest and largest data values are 2 units away from each other.
<h3>What does the range reveal?</h3>
Range is the difference between the highest and lowest values of a set of observations. Range is a measure of variation.
Range = highest value - lowest value
To learn more about range, please check: brainly.com/question/12372689
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Given:
The cost of adults ticket = $18
The cost of children's ticket = $8.25
Total tickets = 2300
Total revenue = $30,168.
To find:
The number of children and number of adults attended the zoo that day.
Solution:
Let x be the number of children and y be the number of adults.
Equation for tickets:
...(i)
Equation for revenue:
...(ii)
Plot the graphs of the given equations on a coordinate plane as shown below.
From the graph it is clear that the graph of both equations intersect each other at (1148,1152).
It means the number of adults is 1148 and the number of children is 1152.
It can be solved algebraically as shown below:
Substitute the value of y in (ii) from (i).




Divide both sides by 9.75.


Putting
in (i), we get



Therefore, the number of adults is 1148 and the number of children is 1152.
Part A:
Slope of line is given by vertical distance ÷ horizontal distance
Let (8, 9) be (x₁, y₂) and (-2, 4) be (x₂, y₂)
The vertical distance is y₂ - y₁ = 4 - 9 = -5
The horizontal distance is x₂ - x₁ = -2 - 8 = -10
slope of the line = -5 ÷ -10 = 0.5
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Part B
The point-slope form is given by
(y - y₁) = m (x - x₁)
We have the gradient, m = 0.5
(x₁, y₁) = (8, 9) ⇒ You can also use the other coordinate (-2, 4)
Substitute these value into the form, we have
(y - 9) = 0.5 (x - 8)
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Part C
The slope-intercept form is given by the equation
y = mx + c
Where m is the slope gradient and c is the point where the line intercepts the y-axis. We don't have the value of c at the moment but we can find out by simplifying the equation in part B
y - 9 = 0.5 (x - 8) ⇒ Multiplying out the bracket
y - 9 = 0.5x - 4
y = 0.5x - 4 + 9
y = 0.5x + 5 ⇒ This the slope-intercept form