Just plot the points on the graph.
2. You know since the graph is a straight line, the ratios are proportional and therefore equivalent
Y = 180 - 51 -56 = 73
x = 180 - 73 - 72 = 35
x = 35 degrees
Answer: 
Step-by-step explanation:
The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-
In the given table, independent variable = Days
Dependent variable = Total Miles
From first row, Days = 3
Total Miles = 
Then, the constant of proportionality in the table
Hence, the constant of proportionality in the table is .
Answer:
2.3 feet/ second
Step-by-step explanation:
To find the rate of change, we will have to find the difference in his distance travelled and divide it by the time taken to move that distance.
This is given by rate of change = (change in position)/ change in time
From the question, his position changed from 30 ft to 100 ft thus the distance he travelled is = 100ft - 30 ft = 70 ft.
Time taken to travel this distance = 40 seconds - 10 seconds = 30 seconds
Diver's rate of travel = 70 ft / 30 seconds = 2.33333ft/second.
Rounding off the answer to the nearest tenth, we have 2.3 ft/second
Answer:
Variance = 1,227.27
Standard deviation = 35.03
Step-by-step explanation:
To calculate these, we use the following formulas:
Mean = (sum of the values) / n
Variance = ((Σ(x - mean)^2) / (n - 1)
Standard deviation = Variance^0.5
Where;
n = number of values = 20
x = each value
Therefore, we have:
Sum of the values = 29 + 32 + 36 + 40 + 58 + 67 + 68 + 69 + 76 + 86 + 87 + 95 + 96 + 96 + 99 + 106 + 112 + 127 + 145 + 150 = 1,674
Mean = 1,674 / 20 = 83.70
Variance = ((29-83.70)^2 + (32-83.70)^2 + (36-83.70)^2 + (40-83.70)^2 + (58-83.70)^2 + (67-83.70)^2 + (68-83.70)^2 + (69-83.70)^2 + (76-83.70)^2 + (86-83.70)^2 + (87-83.70)^2 + (95-83.70)^2 + (96-83.70)^2 + (96-83.70)^2 + (99-83.70)^2 + (106-83.70)^2 + (112-83.70)^2 + (127-83.70)^2 + (145-83.70)^2 + (150-83.70)^2) / (20 - 1) = 23,318.20 / 19 = 1,227.27
Standard deviation = 1,227.27^0.5 = 35.03
