Evaluate the triple integral ∭Tx2dV, where T is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,3,0), and (0,0,3).
bixtya [17]
Answer:
the integral I=81
Step-by-step explanation:
for the integral I
where T is the solid tetrahedron , then
the integral is equal to 81
Answer:
D. 6 1/12
Step-by-step explanation:
First add the like fractions.
3 2/3 + 2/3 = 3 4/3 (Don't worry about simplifying yet)
Now find the least common multiple for 3 4/3 and 1 3/4 so we can add them.
<h2>
REMEMBER: You can only add and subtract fractions when they have the same denominator.</h2>
3: 3, 6, 9, 12
4: 4, 8, 12
In this case 12 is the least common multiple.
3/4 x 3/3 = 9/12 9/12
4/3 x 4/4 = 16/12
Add those two fractions then add the whole numbers and put it in front.
4 25/12
Simplify
6 1/12
The equation used for this is
=
if you knew n then we could solve this equation
the answer to 7 times z reduced by a third of the product is 2z
Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Hope this helps!!
