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White raven [17]
3 years ago
6

An integer from 300 through 780, inclusive is to be chosen at random, find the probability that the number is chosen will have 1

as at least one digit.​
Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer:

  • 93/481

Step-by-step explanation:

<u>Total number of integers from 300 through 780, inclusive:</u>

  • 780 - 299 = 481

<u>Number of integers with at least one of digit 1:</u>

  • Hundreds - 0,
  • Tens - 5*10 = 50 (31th, 41th, 51th, 61th, 71th)
  • Units - 4*9 + 7 = 43 (300 till 699 and 700 till 780)
  • So in total 50 + 43 = 93

<u>The probability is:</u>

  • P = favorable outcomes/total outcomes = 93/481
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Easy math, but not sure what I did wrong.
Ierofanga [76]

Answer:

8

Step-by-step explanation:

In his 5th year, he took 3 times as many exams as the first year.  So the number of exams taken in the 5th year must be a multiple of 3.

If a₁ = 1, then a₅ = 3.  However, this isn't possible because we need 4 integers between them, and a sum of 31.

If a₁ = 2, then a₅ = 6.  Same problem as before.

If a₁ = 3, then a₅ = 9.  This is a possible solution.

If a₁ = 4, then a₅ = 12.  If we assume a₂ = 5, a₃ = 6, and a₄ = 7, then the sum is 34, so this is not a possible solution.

Therefore, Alex took 3 exams in his first year and 9 exams in his fifth year.  So he took 19 exams total in his second, third, and fourth years.

3 < a₂ < a₃ < a₄ < 9

If a₂ = 4, then a₃ = 7 and a₄ = 8.

If a₂ = 5, then a₃ = 6 and a₄ = 8.

If a₂ = 6, then there's no solution.

So Alex must have taken 8 exams in his fourth year.

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3 years ago
Please help!!!!! I need to pass this class!!
yulyashka [42]
Angle R is 33 degrees
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3 years ago
Which is the difference of 21 1/4 - 18 2/4<br> A 2 1/4 B 2 2/4 C 2 3/4 D 3 1/4
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So when you change the mixed numbers into improper fractions, they become 85/4 and 74/4. Your new problem is 85/4-74/4. Basically 85-74. That equals 9. So the improper fraction answer is 9/4. We now make that back into a mixed number, creating 2 1/4, or A.
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The table gives the probability distribution of the number of dvds sold per day at a music store. what is the probability of 5 o
nikklg [1K]

Let x represents the number of dvds sold per day:
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But the question is not asking for the probability of 5-9, but 5 or more. So deduct the .1875 to 1 since .1875 only represents 0-4.P(X>= 5) = 1 - 0.1875 = 0.8125
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3 years ago
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Margaret [11]

Step-by-step explanation:

300/5=60

240/4=60

360/6=60

u paid $60/h there is no correct answer in the option

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3 years ago
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