Answer:
10 units
Step-by-step explanation:
Volume of 1 cube = 1 unit
A = l³
l =∛1000 = 10 ( 10*10*10=1000)
2/7 x 1/3 Will Be Less Than 1/3
This is a fairly tedious problem. The only way to solve that I see is to simply list out all the possible cases and go through each one by one. You'll use the triangle inequality theorem to see if the triangles can be formed. The theorem says that a+b > c must be true for all sets of pairs. In other words, take any two sides and add them up. The sum must be greater than the third side.
Going through all the combos possible (that I could find), this is what I got
Blue9,Green7,Orange4
Blue9,Green7,Purple12
Blue9,Green7,Red3
Blue9,Green7,Yellow5
Blue9,Orange4,Purple12
Blue9,Purple12,Yellow5
Green7,Orange4,Yellow5
Green7,Red3,Yellow5
Orange4,Red3,Yellow5
In all, I count 9 cases. So the answer to problem 1 is 9.
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For problem 2, the best way may be to pick two segments at a time instead of one. However, I have a feeling that will take just as long as the first method. I haven't tried it out. Even though going through the rods one at a time takes a while, it's probably the best option so you don't overlook any cases.
Answer:
A and B are independent events if P(A ∩ B) = 0.06
Step-by-step explanation:
Two events A and B are independent if the probability of occurrence of A does not influence the occurrence of B.
Mathematically it is written that A and B are independent events if and only if:
P(A ∩ B) = P(A)P(B)
We know that:
P(A) = 0.20
P(B) = 0.30
Then A and B are independent if:
P(A ∩ B) = (0.20)(0.30)
P(A ∩ B) = 0.06
Finally A and B are independent events if P(A ∩ B) = 0.06
Alright
so equation is
P=initial amount
and t=time
r=rate
given
initial amount is 50
rate is 10%, but decreasing by 10% so -0.1
and time=6
A(6)=27.4406
about 27mg
