What is the x-intercept of the line with the equation 4x + 2y = 12?A. (0, 6)
B. (6, 0)
C. (0, 3)
D. (3, 0)

The expression which would determine the probability that both digits are even which is required for bicycle lock is (4P1)(3P1)/(9P2).

What do you understand by the term permutation?

The permutation is the arrangement of the things or object in a systematic order, in all the possible ways. The order of arrangement in permutation is in linear.

A bicycle lock requires a two-digit code of numbers 1 through 9, and any digit may be used only once. The probability of choosing 2 digits from 9 is,

There are total 4 even numbers {2,4,6,8}. The probability of choosing first digit's even from 4 even numbers is,

For the second digit to be even is,

Thus, the favorable outcome is, and total outcome is . Thus, the expression which would determine the probability that both digits are even is,

Thus, the expression which would determine the probability that both digits are even which is required for bicycle lock is (4P1)(3P1)/(9P2).

Learn more about the permutations here;

brainly.com/question/12468032

#SPJ3

The correct answer is:

A. P(both even) =

The expression would determine the probability that both digits are even.

The value of cos θ is,

⇒ cos  θ = 0.6

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

Hence, We can formulate;

⇒ cos θ = 0.6 / 1

⇒ θ = cos ⁻¹ 0.6

⇒ θ = 53.13°

Thus, The value of cos θ is,

⇒ cos  θ = 0.6

Learn more about the circle visit:

brainly.com/question/24810873

#SPJ7

Answer:

Step-by-step explanation:

Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

Answer:

Step-by-step explanation:

2) ∠A + ∠B = 146       {Exterior angle theorem}

5y + 3 + 4y + 8 = 146

5y + 4y + 3 + 8 = 146           {combine like terms}

         9y + 11 = 146

               9y = 146 -11

               9y = 135

                 y = 135/9

y = 15

3) m∠A = 5y + 3

              = 5*15 + 3

              = 75 + 3

∠A = 78

4) m∠B = 4y + 8

            = 4*15 + 8

            = 60 + 8

      m∠B = 68

5) m∠ACB + m∠A + m∠B = 180   {Angle sum property of triangle}

 m∠ACB  + 78 + 68 = 180

           m∠ACB + 146 = 180

                       m∠ACB = 180 - 146

                      m∠ACB = 34

Answer:

yes

Step-by-step explanation:

I got it right

Answer:

• 1 necklace: 24 blue, 30 green
• 2 necklaces: 12 blue, 15 green (each)
• 3 necklaces: 8 blue, 10 green (each)
• 6 necklaces: 4 blue, 5 green (each)

Step-by-step explanation:

The greatest common factor of 24 and 30 is 6. The divisors of 6 are 1, 2, 3, and 6. Those are the numbers of identical necklaces that might be made from the beads. The number of beads of each color is found by dividing the total number of beads by the number of necklaces being made.

The possible numbers of necklaces are 1, 2, 3 or 6.

The numbers of (blue, green) beads on each will be (24, 30), (12, 15), (8, 10), or (4, 5), respectively.

_____

The greatest common factor (GCF) is the product of the common prime factors.

  24 = 2^3×3

  30 = 2×3×5

The prime factors in common are 2 and 3, so the GCF is 2×3 = 6.