Instructions In practice, Rishi has the following free-throw accuracy:
• From 5 m, he is able to sink the ball 50% of the time.
• From 10 m, he is able to sink the ball half as often as from 5 m.
• From 15 m, he is able to sink the ball half as often as from 10 m.
In the tryouts for the school team, Rishi will get one shot from
each distance.

How can you predict the probability that Rishi will
sink all three shots?

A. Predict the probability that Rishi will sink all three shots.

B. Design a simulation to model Rishi’s chances of sinking all
three shots. Explain why your choice is appropriate.

C. Use your simulation to calculate the experimental probability
that all three shots will go in.

D. Compare your predicted probability with the experimental
probability. Which do you think would be the more likely
result if you did the simulation again?

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

i dont know sorry

step-by-step explanation:

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.