Answer:
The mean height is <u>69 inches</u><u><em>.</em></u>
Step-by-step explanation:
The mean or Average is a measure of the center data i.e Sum of all the observation and dividing by the total number of observation.
Here, sum of observation is equal to the sum of the heights of the players in the basketball team.
Total number of observation =10
Sum of observation=70+68+72+66+68+69+66+71+74+66=690 inches.
Therefore,the Mean Height is, 69 inches
-9 and -12 are the answers
Step-by-step explanation:
Using FOIL, we have
(x + 2)(x² - 3x + 4)
= (x³ - 3x² + 4x) + (2x² - 6x + 8)
= x³ - x² - 2x + 8.
I prefer to think of this graphically. The weight is rising steadily so it is represented by a straight line (y = mx + c), where time is on the x-axis and mass is on the y-axis. We have been given two co-ordinates on this graph, (4, 100) and (14, 160). We need to find the equation of this graph.
First, realise that the gradient of a linear graph (m) is equal to the change in y over the change in x (<span>Δy/</span><span>Δx) - the change is just the difference between the two points:
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Δy/<span>Δx = (160-100)/(14-4) = 60/10 = 6
This gradient value can now be substituted into the general formula:
y = 6x + c
Next we need to find the constant value, or y-intercept (c). To do this, substitute in one of the sets of coordinates we have been given in the question, where the number of months is x and the mass is y (I'm going to use 4 months and 100kg). Then, solve for c:
y = 6x + c
100 = (6*4) + c
100 = 24 + c
c = 100 - 24 = 76
Now we know the full equation of the graph - y = 6x + 76. The question asks us to find the mass of the wrestler before putting on weight; this is represented by x=0 on the graph, because the x-axis represents time. Therefore, substitute x=0 into the equation to find the y value (the mass of the wrestler):
y = 6x + 76
y = (6*0) + 76 = 76kg
The initial mass of the wrestler was 76kg
I hope this helps
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