Answer:
12100
Step-by-step explanation:
If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985
In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990
The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;
B ( t ) = − 329.4 t + 13747
B(5) = -329.4(5) + 13747
B(5) = -1647+13747
B(5) = 12100
This shows that there will be 12100 federally insured banks are there in the year 1990.
Answer:
0.7246 radians
Step-by-step explanation:
According to the Question,
Given that, a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches
- The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:
d = √{ (12)² +(15)² } = √(144+225) = √369inches
- The tangent of the angle is the ratio of the height of the box to this length
Tan∅ = 17/√369
Taking the
, we have
∅ =
(17/√369) ≈ 0.7246 radians
Answer:
P(A ∩ B) = 0.
a) NO
b) YES
Step-by-step explanation:
Thinking about this through Venn diagrams we can sort of understand that:
if P(A) = 0.2 and P(B) = 0.2, and P(A∪B) = 0.4.
there's no overlapping between P(A) and P(B).
(If there was overlapping then P(A∪B) < 0.4, since you'd be excluding the overlapped part from getting counted twice.
Think of it in terms of calculating areas circles A and B, if the circles were disjoint, then the sum of the areas A and B would be 0.2+0.2. But if the circles were overlapping then the sum of the areas would be 0.2+0.2-P(A ∩ B), where P(A ∩ B) is the overlapping part)
since there's no overlapping P(A ∩ B) = 0.
a) NO
events A and B are only independent when P(A ∩ B) > 0 (or overlapping)
b) YES
events A and B are mutually exclusive when P(A ∩ B) = 0 (or disjoint)
Each notebook would be 68 cents because if you divide 15.85 into 3 you will get 2 cents then you add 1.23 then subtract .75
<h3><u><em>I</em></u><u><em>
nitial considerations</em></u></h3>
- <em>radius = 1.8 in</em>
- <em>tall = 6.7 in</em>
- <em>Volume?</em>
<h3><u><em>Resolution</em></u></h3>
<em>Volume = base area x tall</em>
<em>base area = π x (1.8in)²</em>
<em>base area = 10.179 in²</em>
<em>Volume = 10.179 in² x 6.7 in</em>
<em>Volume = 68.198 in³</em>
<h3 /><h3><em><u>Answer</u></em></h3>
<em>the volume is 68.198 in³</em>