Answer:
1. 64
2. 72 square feet
3. 31.5 square feet
Step-by-step explanation:
For the first one use the equation A=bh.
Plug in your values: A=12.8*5.
Solve: A=64
For the second one multiply 8*3 which gives you 24. Next multiply that by 3 to give you 72 square feet.
For the third one multiply 9 by 3.5 to get 31.5 square feet.
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)
Above step we use "Multiplication property of equality"
In the above step we "Simplify on both sides of equation"
In the above step we use "Distribution property"
The above step is the result of using "Subtraction property of equality"
Above step is result of "Combining the like terms"
Above step is the result of using "Division property of equality"
Above step is result of "Simplifying fractions on either side of equation"
