The bathtub's depth measures 18 inches
It takes 2 minutes to fill 3 inches of the bathtub
Subsequently
The remaining depth needed for filling with water = (18-3) inches
= 15 inches
The time needed to fill the remaining 15 inches of the bathtub = (15*2)/3 minutes
= 30/3 minutes
= 10 minutes
Therefore, John is right in believing that it will require an additional 10 minutes to fill the tub to the brim at the same rate.
Hope this clarifies things!
Answer: C. Significant at 0.036
Step-by-step explanation:
Given:
Total samples selected Ns= 500
Airplanes that arrived on time Na = 482.
Airplanes that arrived late Nl = 500 - 482 = 18
Calculating the probability of an airplane arriving late:
P(L) = Nl/Ns
P(L) = 18/500
P(L) = 0.036
An event is deemed significant if its probability is equal to or less than 0.05.
As P(L) < 0.05
P(L) = Significant at 0.036
Response:
Detailed explanation:
The final result is 3 /8/33.
step by step breakdown
Initially, we write:
x
=
3
.
¯¯¯¯
24
After that, we will multiply each side by
100
leading to:
100
x
=
324
.
¯¯¯¯
24
Subsequently, we will subtract the first equation from the second equation:
100
x
−
x
=
324
.
¯¯¯¯
24
−
3
.
¯¯¯¯
24
We can then solve for
x
in the following manner:
100
x
−
1
x
=
(
324
+
0
.
¯¯¯¯
24
)
−
(
3
+
0
.
¯¯¯¯
24
)
(
100
−
1
)
x
=
324
+
0
.
¯¯¯¯
24
−
3
−
0
.
¯¯¯¯
24
99
x
=
(
324
−
3
)
+
(
0
.
¯¯¯¯
24
−
0
.
¯¯¯¯
24
)
99
x
=
321
+
0
99
x
=
321
99
x
99
=
321
99
99
x
99
=
3
×
107
3
×
33
x
=
3
×
107
3
×
33
x
=
107
33
Next, we convert this improper fraction to a mixed numeral:
x
=
107
33
=
99
+
8
33
=
99
33
+
8
33
=
3
+
8
33
=
3
8
33
3
.
¯¯¯¯
=
3
8
33
Answer:
2.30 years
Step-by-step explanation:
The fish population increased threefold in the first year, resulting in 240 * 3 = 720 fish.
(a) The logistic equation can be represented as follows

where P0 = 240 denotes the initial fish count; substituting P = 720 and t = 1 allows us to determine the constant k



b) By applying the formula below

with P set to 3000, P0 as 240, and k equal to 1.1, we can compute the duration needed for the population to reach 3000 fish



