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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.

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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What is the period of the function f(x)=sin(x/3) ?

vitfil [10]

<h3>Answer: 6pi radians</h3>

(this is equivalent to 1080 degrees)

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

Explanation:

f(x) = sin(x/3)

is the same as

f(x) = 1*sin( (1/3)(x-0) )+0

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).

6 0

3 years ago

Is 3x+2x=3 a function

trasher [3.6K]

Yes this is a function

8 0

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,

Umnica [9.8K]

Answer: 360ft

Explanation:
x = 18/1/20
x = 18 x 20
x = 360ft

6 0

2 years ago

What is unit form for<br> 8/9 ÷ 4/9

andreev551 [17]

Answer:

2/1 or 2

Step-by-step explanation:

8/4 is 2

9/9 is 1

8 0

3 years ago

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.

__

<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 ...

Tan = Opposite/Adjacent

Using the given values, we have ...

tan(24°) = AC/AB = (tree height)/(distance from tree)

tan(24°) = AC/(22 m)

<h3>solution</h3>

Multiplying by 22 m gives ...

tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m

The height of the tree is about 9.80 meters.

5 0

2 years ago