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White raven [17]
2 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]2 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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vitfil [10]
<h3>Answer: 6pi radians</h3>

(this is equivalent to 1080 degrees)

======================================

Explanation:

f(x) = sin(x/3)

is the same as

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and that is in the form

f(x) = A*sin( B(x-C) )+D

The letters A,B,C,D are explained below

A = helps find the amplitude

B = 2pi/T, where T is the period

C = determines phase shift (aka left/right shifting)

D = determines vertical shift = midline

All we care about is the value of B as that is the only thing that is connected to the period T

--------

Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,

B = 2pi/T

1/3 = 2pi/T

1*T = 3*2pi ... cross multiply

T = 6pi

The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).

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3 years ago
Is 3x+2x=3 a function
trasher [3.6K]
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2 years ago
The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches,
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2 years ago
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andreev551 [17]

Answer:

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Step-by-step explanation:

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3 years ago
Question 4.
Ludmilka [50]

Answer:

  9.80 m

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.

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<h3>setup</h3>

The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...

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The height of the tree is about 9.80 meters.

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