Answer:
$4.30
Step-by-step explanation:
First, find the cost of both games by multiplying the price by 2:
7.85(2)
= 15.7
Then, to find his change, subtract this from 20:
20 - 15.7
= 4.3
So, Luke should get $4.30 back in change.
The equation of a line is written in form y = Mx+ b
M is the slope, also known as the gradient.
You are given the gradient and one point , which is an x and y value. Using that solve for b:
1. Gradient = 2, x = 4, y= 3
3 = 2(4) + b
3 = 8 + b
Subtract 8 from both sides:
B = -5
The equation becomes y = 2x-5
2. Gradient = -3, x= -1, y = 7
7 = -3(-1) + b
7 = 3 + b
Subtract 3 from both sides:
B = 4
Equation becomes: y = -3 +4
Answer:
6 and 2/3
Step-by-step explanation:
24 + 8 + 6/14 + 1/14 =
32 + 7/14 =
32 1/2
The scatter graph of the data is shown in the first picture below
The 'line of best fit' shows a negative gradient
Part A: The most likely coefficient is -0.98.
If the coefficient is -1, then each point would be exactly on the straight line (which they are not as shown on the graph). The graph however still shows a strong negative coefficient. It can be seen from the close distance of each point from the line of best fit. So -0.5 and -0.02 is unlikely as they show weak negative correlation
Part B: Refer to the second picture to see the horizontal and vertical distance between day 15 and day 20
The horizontal distance is 5 units
The vertical distance is read between 61 and 71.5, hence it's 10.5
The slope = Vertical distance ÷ Horizontal Distance = 10.5÷5 = 2.1
The 'downhill' slope shows a negative gradient, hence the value of the slope is -2.1
The value of the slope shows that the surface area of the lake shrinks by 2.1 for every one day
Part C: The data in the table represents the relation between two variables. Since one variable doesn't cause the change in the other variable, the data table represents correlation rather than a causation.
<h3>
Answer: Approximately 2.33</h3>
The variance is given to be 5.43
Apply the square root to the variance to get the standard deviation
s = standard deviation
v = variance
s = sqrt(v)
s = sqrt(5.43)
s = 2.330326 which is approximate
s = 2.33
I rounded to 2 decimal places as this is the number of decimal places used for the variance.