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Kitty [74]
3 years ago
8

A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability t

hat the next digit is odd?
A. 4/9

B. 1/5

C. 1/2

D. 5/9
Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

Answer:

1/2

Step-by-step explanation:

If the locker has 3 non zero digits, this means the digits will take values from 1 to 9. If the first digits is 3, the remaining digits can take any of the values in the set {1, 2, 4, 5, 6 7, 8, 9}

Total elements in the set = 8

Total odd numbers there = {1, 5, 7, 9} = 4 odd numbers

If the next digit is odd, probability that the next digit is odd will be Total odd numbers/Total elements in the set = 4/8 = 1/2

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Answer:

54

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8 0
2 years ago
On a blueprint, the length of a wall is 5 centimeters. If the actual length of the wall is 15 feet, what is the scale of the blu
Yuri [45]

Answer:

1 cm = 3 feet.

Step-by-step explanation:

Divide 15 by 5 to get 3; on the blueprint, every centimeter represents 3 feet.

3 0
3 years ago
Help again idk how to do this
creativ13 [48]

Answer:

it's,

( {5}^{3} ) ^{ - 4}  \\

Step-by-step explanation:

( {5}^{3} ) ^{ - 4}  \\  =  {5}^{ - 12}

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20express%20%5C%3A%20%20%5C%3A%20%5Csin%282x%29%20%20-%20%20%5Csqrt%7B3%7D%20%20%5Ccos%282x%2
gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0
3 years ago
Please help worth 20 points! (this is legit my math grade .-.)
Natasha2012 [34]

Answer:

Step-by-step explanation:

a true

b false

5 0
2 years ago
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