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m_a_m_a [10]
3 years ago
10

You draw one card from a? 52-card deck. then the card is replaced in the deck and the deck is? shuffled, and you draw again. fin

d the probability of drawing a ten the first time and a club the second time.
Mathematics
1 answer:
Solnce55 [7]3 years ago
6 0

there are 4 tens in a deck so probability of picking a ten is 4/52 reduced to 1/13

 there are 13 clubs in a deck, probability for that is 13/52 reduced to 1/4

probability for both is 1/13 x 1/4 = 1/52

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What is the solution of the system of equations?
umka21 [38]

No solution of the system of equations y = -2x + 5 and -5y = 10x + 20 ⇒ 2nd answer

Step-by-step explanation:

Let us revise the types of solutions of a system of linear equations

  • One solution
  • No solution when the coefficients of x and y in the two equations are equal and the numerical terms are different
  • Infinitely many solutions when the coefficients of x , y and the numerical terms are equal in the two equations

∵ y = -2x + 5

- Add 2x to both sides

∴ 2x + y = 5 ⇒ (1)

∵ -5y = 10x + 20

- Subtract 10x from both sides

∴ -10x - 5y = 20

- Divide both sides by -5

∴ 2x + y = -4 ⇒ (2)

∵ The coefficient of x in equation (1) is 2

∵ The coefficient of x in equation (2) is 2

∴ The coefficients of x in the two equations are equal

∵ The coefficient of y in equation (1) is 1

∵ The coefficient of y in equation (2) is 1

∴ The coefficients of y in the two equations are equal

∵ The numerical term in equation (1) is 5

∵ The numerical term in equation (2) is -4

∴ The numerical terms are different

From the 2nd rule above

∴ No solution of the system of equations

No solution of the system of equations y = -2x + 5 and -5y = 10x + 20

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

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Step-by-step explanation:

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I believe the sum of the root is: -3/2
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Step-by-step explanation:

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