Answer:
1.5
Step-by-step explanation:
y2 - y1 ÷ x2 - x1
(3,4) (8, -3)
(x1,y1) (x2,y2)
Answer:
95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.
Step-by-step explanation:
Confidence interval is given by mean +/- margin of error (E)
Eggs from small nest
Sample size (n1) = 60
Mean = 37.2
Sample variance = 24.7
Eggs from large nest
Sample size (n2) = 159
Mean = 35.6
Sample variance = 39
Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11
Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93
Difference in mean = 37.2 - 35.6 = 1.6
Degree of freedom = n1+n2 - 2 = 60+159-2 = 217
Confidence level = 95%
Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132
E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79
Lower limit = mean - E = 1.6 - 0.79 = 0.81
Upper limit = mean + E = 1.6 + 0.79 = 2.39
95% confidence interval for the difference in average mass is (0.81, 2.39)
Answer:
electric energy = 980 J
Step-by-step explanation:
Given,
Diameter of wind turbine = 100 m
Speed of wind,v = 7 m/s
Density of air = 1.25 kg/m
Hence, the total mass of air enters into turbine =Speed of wind x Diameter of wind turbine
= 1.25 x 100
= 125 kg
Hence, total mechanical energy of turbine can be given by,
= 3062.5 J
Efficiency of turbine = 32%
Hence,
total electric energy = 32% of mechanical energy
= 980 J
So, the total electric energy produced by the turbine will be 980 J.
9514 1404 393
Answer:
3
Step-by-step explanation:
The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-2))/(3 -1) = 6/2
m = 3
The average rate of change on the interval is 3.
