Answer:
12.60
Step-by-step explanation:
To find the tip, take the amount of the bill and multiply by 30%
42 * 30%
Change to decimal form
42 * .30
12.6
First find the area of the large rectangle which is 90 by you times 3 and 3 which is 9 then you times 5 and 2 which is 10 after that u times 9 and 10 which is 90 So to make the small rectangle times 6 and 15 because 3 times 2 equals 6 and 5 times 3 equals 10 so that means the area of one small rectangle is 6 and the other rectangle us 15 then u multiple
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:
640cm³
Step-by-step explanation:
Length SF = ×2
Volume SF = ×2³ = ×8
Volume of B = 8 × 80 = 640cm³
Answer:
1+3i
Step-by-step explanation:
i is a variable. -1 has an absolute value of 1. 3i is multiplying i by 3.
