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iVinArrow [24]
4 years ago
14

A math professor writes down two consecutive whole numbers from the range from a through 10. She tells one of the numbers to Mau

rice and the other to Hani. Maurice says to Hani "I don't know your number." Hani replies "And I don't know yours." Then Maurice says "Now I know your number." What are the two numbers?

Mathematics
1 answer:
vodka [1.7K]4 years ago
3 0

Answer:

Throughout the clarification section following, the definition of the problem is mentioned.

Step-by-step explanation:

The given question is incomplete. Please find attachment of the complete question below.

                     <u> Maurice's number                             Hani's number</u>

                                   2                                                        3

                                   3                                                        4

                                   6                                                        7

                                   9                                                        10

  • Even though professor whites away, Maurice as well as subsequently Hani are allocated two consecutive full numbers as well as first numbers.
  • Furthermore, in any circumstance, the number of Hani should be one more than any of Maurice, as well as the number of Maurice should be one lower than the average Hani.

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What is the probability that a randomly drawn marble from bag is green. Given that it is not red?
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Answer:

The probability is 0.2, or 20%.

Step-by-step explanation:

A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. If we know that the marble drawn is not red, the number of possible outcomes N is

N = (number of blue marbles) + (number of green marbles) = 25

and the number of relevant outcomes (marble being green) is n:

n = (number of green marbles) = 5

So, the probability is

P = n / N = 5 / 25 = 1 / 5 or 0.2, or 20%

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3 years ago
Two friends sold many pieces of furniture and made ​$1550 during their garage sale. They had fifteen more​ $10 bills than​ $50 b
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Answer:

The number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

Step-by-step explanation:

Let n₁ = number of $ 10 bills,

Let n₂ = number of $ 20 bills and

Let n₃ = number of $ 50 bills

Given that 10n₁ + 20n₂ + 50n₃ = 1550    (1)

Also, since we have fifteen more​ $10 bills than​ $50 bills, n₁ = n₃ + 15  (2)

and we have 4 more than three times as many​ $20 bills as​ $50 bills. n₃ = 3n₂ + 4. (3)

substituting equations (2) and (3) into (1), we have

10(n₃ + 15) + 20n₂ + 50n₃ = 1550

expanding the bracket, we have

10n₃ + 150 + 20n₂ + 50n₃ = 1550

collecting like terms, we have

60n₃ + 150 + 20n₂ = 1550

inserting equation (3), we have

60(3n₂ + 4) + 150 + 20n₂ = 1550

expanding the bracket, we have

180n₂ + 240 + 150 + 20n₂ = 1550

collecting like terms, we have

200n₂ + 390 = 1550

subtracting 390 from both sides, we have

200n₂ = 1550 - 390

200n₂ = 1160

dividing both sides by 200, we have

n₂ = 1160/200

n₂ = 5.8

n₂ ≅ 6 since it cannot be a fraction.

Substituting this into (3), we have

n₃ = 3n₂ + 4 = 3(6) + 4 = 18 + 4 = 22

substituting n₃ into (2), we have

n₁ = n₃ + 15 = 22 + 15 = 37

So, the number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

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3 years ago
Can some one plz answer this question, factories y^2-8y+12
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Answer:

(y - 2)(y - 6)

Step-by-step explanation:

To factorise

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the y- term (- 8)

The factors are - 2 and - 6

since - 2 × - 6 = + 12 and - 2 - 6 = - 8, hence

y² - 8y + 12 = (y - 2)(y - 6)

6 0
4 years ago
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