Depth of the bathtub = 18 inches
Time taken to fill 3 inches of the bathtub = 2 minutes
Then
The amount of depth needed to fill with water = (18-3) inches
= 15 inches
Time required to fill 15 inches of the bathtub = (15*2)/3 minutes
= 30/3 minutes
= 10 minutes
So John is correct in thinking that it will take 10 more minutes for the water to reach the top of the tub if he continues at the same rate.
Hope this helps!
Answer: (45.79, 51.21)
Step-by-step explanation:
Given : Significance level : 
Sample size : n= 51 , which is a large sample (n>30), so we use z-test.
Critical value: 
Sample mean : 
Standard deviation : 
The confidence interval for population means is given by :-
i.e. 
i.e.
Hence, 99% confidence interval for the standard deviation of the number of hours this firm’s employees spend on work-related activities in a typical week = (45.79, 51.21)
Answer:
We write the generic form equation:
y = A (b) ^ t
We must use two points in the table to find the constants A and b
We have then:
For: t = 1, y = 55
55 = A (b)
For: t = 2, y = 60
60 = A (b) ^ 2
We solve the system of equations:
We divide both equations:
(60 = A (b) ^ 2) / (55 = A (b))
((60) / (55)) = b
b = 1.091
We substitute in any of the equations:
55 = A (b)
55 = A (1,091)
A = (55) / (1,091)
A = 50.41
The equation that models the problem is:
y = 50.41 * (1.09) ^ t
For t = 29 we have:
y = 613.5996987 (> 600)
Answer:
Assuming the trend continues the environment will not last until the population after 24 years.
Answer:
24
0.25 inches represents 1 mile
----------------------------------------------
Find 1 inch:
----------------------------------------------
1 inch represents 1 ÷ 0.25 miles
1 inch represents 4 miles
----------------------------------------------
Find 3.75 inches:
----------------------------------------------
1 inch represents 4 miles
3.75 inches represent 4 x 3.75 miles
3.75 inches represent 15 miles
----------------------------------------------
Find 2.25 inches:
----------------------------------------------
1 inch represents 4 miles
2.25 inches represent 4 x 2.25 miles
2.25 inches represent 9 miles
----------------------------------------------
Find Area:
----------------------------------------------
Area = Length x Width
Area = 15 x 9
Area = 135 miles²
----------------------------------------------
Answer: 135 miles²
----------------------------------------------
