First pick: 13/(13+19+8)=13/40
the second pick: 12/39
both: 13/40 *12/39=156/1560=0.1
Answer:
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Step-by-step explanation:
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Using a system of equations, it is found that the equation that could be used to find the value of b is given by:
3×4−8=b
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
Fatima has 3 packs of batteries. Each pack contains 4 batteries, hence:
b = 3 x 4
She gives her brother 8 batteries to put in his toy robot, hence:
b = 3 x 4 - 8
Which means that the first expression is correct.
More can be learned about a system of equations at brainly.com/question/24342899
a. Notice that
1/(1*2) = 1/2 = 1 - 1/2
1/(2*3) = 1/6 = 1/2 - 1/3
1/(3*4) = 1/12 = 1/3 - 1/4
and so on, which suggests the n-th term of the sum can be written as

Then the sum itself is telescoping:



b. The proof is trivial:

so the formula found in (a) is correct.