Carlton is practicing for a high school hurdling competition. He has a 10% chance of knocking down a hurdle in one lap. He wants to know the probability of doing at least three laps before he knocks a hurdle down.

Which simulation can best be used to compute the probability?
A. Model B: Use a spinner with ten different colors of equal area. For one trial, spin the spinner until it lands on pink. Count the trial if the spinner lands on pink on the second spin or later. Repeat this process for 120 trials.
B. Model A: Draw a marble from a bag containing seven different-colored marbles. For one trial, draw the marbles, with replacement, until the green marble is drawn. Count the trial if the green marble is drawn on the third draw or later. Repeat the process for 50 trials.
C. Model D: Use a standard deck of cards. Randomly draw one card from the deck. After drawing the card, place it back in the deck and shuffle. For one trial, draw a card from the deck three times. Count the trial if, only on the third draw, the card is an ace or a king of clubs. Repeat the process for 200 trials.
D. Model C: Draw a tile from a bag containing ten different-colored tiles. For one trial, draw a tile, with replacement, until the green tile is drawn. Count the trial if the green tile is drawn on the third draw or later. Repeat the process for 200 trials.
Please Help!!!

yo answer should be 6 if im not mistaken

step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

the probability that a bird is green (.30) is true

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form