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mash [69]
3 years ago
14

Given the argument: Oleg is a math major or Oleg is an economics major. If Oleg is a math major, then Oleg is required to take M

ath 362. :: Oleg is an economic major or Oleg is not required to take Math 362. (a) Write the argument form. (define your variables) (b) Use truth tables to check the validity of the argument. (c) Explain why the argument is valid or invalid.
Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer:

Logic with the use of Truth Table

Step-by-step explanation: a) Oleg is a math major= P; Oleg is a economic major=Q; Oleg is required to take math 362=R; Oleg is not required to take 362=←R

b)i) Oleg is a math major or Oleg is an economic major:

     P║ Q ║ P∨Q

     T     T       T

     T      F       T

     F      T       T

     F      F       F

ii)  Oleg is a math major, then Oleg is required to take Math 362:

    P║  R  ║  P∧ R

    T     T         T

    T     F         F

    F     T         F

    F     F         F

iii) Oleg is an economic major or Oleg is not required to take Math 362:

    Q║   ←R   ║  Q ∨ ←R

    T        T              T

    T        F              T

    F        T              T

    F        F              F

c) It is valid because Oleg can only take Math 362 since Oleg is a math major, therefore, it follows that, R ∧ ( P ∨  Q) is valid.

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svp [43]

Answer:

C. $824.74, $175.26

Step-by-step explanation:

1) Amount Credited

The formula to calculate the amount credited =

Amount paid ÷ ( 100% - Discount)

Discount is given in the question as 3/10

Where 3 = Discount rate

Amount paid = $800

Amount credited = 800/( 100% - 3%)

= 800/ 97%

= 800/ 0.97

= $824.74

b) Outstanding balance = Invoice - Amount credited

Invoice = $1000

Amount credited = $824.74

Outstanding balance = $1000 - $824.74

= $175.26

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3 years ago
Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2
sdas [7]
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3 years ago
Read 2 more answers
When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
oksian1 [2.3K]

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

3x+2y=2\\2x-y=6

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12

Next, use elimination to find the value of "x":

3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2

So, your x-value is 2.

Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:

2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2

Your y-value is -2.

With all your information gathered, you find that the solution to this system of equation is (2,-2).

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Marianna [84]
Set up a system of equations.
d + q = 75
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Multiply the first equation by -.1 so that the "d's" will cancel.
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.1d +.25q = 14.25
Now add the two equations together
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divide both sides by .15
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You want to be able to withdraw $30,000 from your account each year for 15 years after you retire. If you expect to retire in 25
crimeas [40]

Answer:

use calculator

Step-by-step explanation:

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