Answer:
A and D
Step-by-step explanation:
4×3=12
4×d=4d
12+4d
Then;(4×d)+(3×4)=4d +12
Same expression
-5 is the same as -5/1
Flip the fraction:
-1/5
2/9 / 1/4
Flip the 2nd fraction and multiply:
2/9 * 4/1
Multiply the numerators and denominators:
8/9
Answer:
65
Step-by-step explanation:
I did 17 X 25 to find out how much she earned JUST from the warranty, which is 425. Subtract that from $1530 and get $1105. Divide that by 17 and get 65.
The answer is going to be 3,495
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)
