And? Congrats? Please write the full question
Answer:
(2) 2,640 ft
Step-by-step explanation:
I'm going to assume that in this question, you are walking 1 full circle around the reservoir. That would mean you need to calculate the circumference of the circular reservoir.
The circumference formula is:
C = ⫪d
C stands for Circumference
d stands for diameter
I will use 22/7 instead of pi, so the formula looks more like this:
C = (22/7)(d)
The diameter is 840 feet, so we will substitute the variable d with 840:
C = (22/7)(840)
You can plug this part into the calculator, but by hand, it'll look something like this:
(22/7)*840 = (22*840)/7
18,480/7 = 2.640
Hope it helps (●'◡'●)
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:
f(-4) = 6
f(0) = -6
f(1) = -4
Step-by-step explanation: