Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the

The monthly payment amounts to 538.3

$6450 divided by 12 (months)

Answer:

a) The probability tree has been created below

b) The likelihood of selecting at least two women is 0.500

Step-by-step explanation:

Based on the information provided in the question;

a) The constructed probability tree is outlined as follows;

                                                 3 men, 3 women

                                                            ↓

           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

         3 men                    2 men                          1 man                        0 men

      0 women                1 woman             2 women           3 women

b) The probability of having at least two women selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there are 3 women out of 3 )

Thus,

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Thus, the probability of selecting at least two women is 0.500

Let's calculate the missing sides first. For the large triangle, we can utilize the Pythagorean theorem, which is a^2 + b^2 = c^2. Here, a^2 is 13^2 - 5^2, which results in 169 - 25 = 144. Therefore, the square root of a is equal to the square root of 144, which gives us a = 12.
For the smaller triangle, we compute 5^2 - 3^2 = b^2, yielding 25 - 16 = 9, so b = 4. The length of the Elm Trail totals 13 km + 5 km, making it 18 km, while the Dogwood Trail calculates to 12 + 5 + 4 + 3 = 24 km.
Thus, the correct selections are 2 and 5.

Answer:

Lines a and b are considered parallel due to their corresponding angles being equal.

Step-by-step explanation:

The corresponding angle postulate states that two lines are parallel when a transversal intersects them and their corresponding angles are congruent.

In this case, line a and line b are intersected by transversal e, with both corresponding angles measuring 110 (which are congruent), hence, according to the corresponding angle postulate, we can conclude that line a and line b are indeed parallel to each other.

There exist two coefficients: one pertains to x raised to the first degree, and another corresponds to the zeroth degree of x (the constant term).

Thus:
the coefficient for the constant term is 42 (i.e. 42x^0=42).
the coefficient for the linear term is 2 (i.e. 2x^1=2x)