Pre algebra questions and answers

Recent questions in Pre-Algebra
istremage8o 2022-05-23 Answered

How do you solve x 3 < 5 ?

Jazmine Bruce 2022-05-23 Answered

How do you solve 1 3 x > 6 ?

Jerry Villegas 2022-05-23 Answered

How do you solve 2 v + 1 > 7 ?

Davian Maynard 2022-05-23 Answered

How do you solve and graph 20 b - 120 ?

tinydancer27br 2022-05-22 Answered

Boy Born on a Tuesday - is it just a language trick?
The following probability question appeared in an earlier thread:
I have two children. One is a boy born on a Tuesday. What is the probability I have two boys?
The claim was that it is not actually a mathematical problem and it is only a language problem.
If one wanted to restate this problem formally the obvious way would be like so:
Definition: Sex is defined as an element of the set boy,girl.
Definition: Birthday is defined as an element of the set Monday,Tuesday,Wednesday,Thursday,Friday,Saturday,Sunday
Definition: A Child is defined to be an ordered pair: (sex ×birthday).
Let (x,y) be a pair of children,
Define an auxiliary predicate H ( s , b ) : ! ! s = boy  and  b = Tuesday.
Calculate P ( x  is a boy and  y  is a boy | H ( x )  or  H ( y ) )I don't see any other sensible way to formalize this question.
To actually solve this problem now requires no thought (infact it is thinking which leads us to guess incorrect answers), we just compute
P ( x  is a boy and  y  is a boy | H ( x )  or  H ( y ) ) = P ( x  is a boy and  y  is a boy and  ( H ( x )  or  H ( y ) ) ) P ( H ( x )  or  H ( y ) ) = P ( ( x  is a boy and  y  is a boy and  H ( x ) )  or  ( x  is a boy and  y  is a boy and  H ( y ) ) ) P ( H ( x ) ) + P ( H ( y ) ) P ( H ( x ) ) P ( H ( y ) ) = P ( x  is a boy and  y  is a boy and  x  born on Tuesday ) + P ( x  is a boy and  y  is a boy and  y  born on Tuesday ) P ( x  is a boy and  y  is a boy and  x  born on Tuesday and  y  born on Tuesday ) P ( H ( x ) ) + P ( H ( y ) ) P ( H ( x ) ) P ( H ( y ) ) = 1 / 2 1 / 2 1 / 7 + 1 / 2 1 / 2 1 / 7 1 / 2 1 / 2 1 / 7 1 / 7 1 / 2 1 / 7 + 1 / 2 1 / 7 1 / 2 1 / 7 1 / 2 1 / 7 = 13 / 27
Now what I am wondering is, does this refute the claim that this puzzle is just a language problem or add to it? Was there a lot of room for misinterpreting the questions which I just missed?

Trevor Wood 2022-05-22 Answered

How do you solve 3 m < 4 ?

wanaopatays 2022-05-22 Answered

What is the ' factorization of 50?

Kaeden Woodard 2022-05-22 Answered

How many factors does 144 have?

Getting your pre Algebra solved becomes much easier when you have all the answers to your questions by taking a closer look at the various examples dealing with Pre-Algebra subjects. We have intentionally collected the list of pre-algebra equations and various solving equations with decimals problems to help you see various examples that explain how certain solutions are found. Still, if something sounds unclear or you are concerned about some solution that has been provided, approach pre-algebra with reverse engineering approach (going backwards).