Answer:
1.15 miles closer
Step-by-step explanation:
you just subtract 1 3/5 from 2 3/4
1 3/5 = 1 12/20
2 3/4 = 2 15/20
2 15/20- 1 12/20 = 1 3/20 = 1.15
Answer:
The GCF of 3x^4, 15x^3 and 21x is 3x^2
Step-by-step explanation:
3x^2(x^2), 3x^2(5x) , 3x^2(7)
Answer:
$46
Step-by-step explanation:
Cost: 4p + 3c + 16
if p=3 and c=6 then,
4(3) + 3(6) +16
12+18+16
46 dollars spent
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)
Keep Change Flip!!!
Keep: the first fraction 5 or 5/1
Change: Division sign to multiplication sign
Flip (reciprocal): the second fraction
So you get 5/1*9/2= 45/2 which simplified to 22 1/2