The box plot shows the data distributions for the number of laps two students run around a track each day

C. The range of Liam's data set is 16

Step-by-step explanation:

Hello, my dear friend, I am sure the question you are intending should be corrected  (See below question), as well as the box plot should be uploaded (See attached the image of the box plot I uploaded for you).  

Q. The box plots show the data distributions for the number of laps two students run around a track each day. Which statement is true about the data?

Options:

A. The median of both data sets is 10.

B. The median of both data sets is 14.

C. The range of Liam’s data set is 16.

D. The range of Sumat’s data set is 17.

If this is the case, then the box plot shows the following data.

The median of Liam's data is 10, the range is (20-4) =16

The median of Sumat's data is 14, the range is (22-3) =19

The correct answer will therefore be:

C. The range of Liam's data set is 16  

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.

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.