Answer:
Sue has the greater probability of 2/5 and Eric has the probability of 1/5.
Step-by-step explanation:
Sue took 2 things and eric replaced his forst one, ending up with one treat.
Answer:
Current monthly payment on their existing mortgage would be $1158.66
Step-by-step explanation:
Total cash value = $160,000
Down payment = 10% of 160,000
Down Payment = $16,000
Balance amount = 160,000 - 16,000 = $144,000
Monthly payment formula:
where,
PV is present value of home, PV=$144,000
r is rate per period , 
n is number of period, n=30x12 = 360
Monthly payment would be same for 30 years.
Thus, Current monthly payment on their existing mortgage would be $1158.66
Answer:
three equivalent ratios will be
6:22 , 9:33, 15:55
Answer:
C) -1.255
Step-by-step explanation:
We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:
Residual value = Observed value - predicted value
Residual value = 26 - 27.255
Residual values = -1.255
The answer is -1.255 for residual value.
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
