Math Snap

STEP 1

Assumptions1. The heights of the four boys are152.0 cm,150.75 cm,149.5 cm, and149.25 cm.
. Bradley is the tallest.
3. Calvin is taller than Josh but shorter than Mark.
4. Josh is the shortest.

STEP 2

From the assumptions, we know that Bradley is the tallest. Therefore, Bradley's height is the maximum value among the given heights.
$$Bradley's\, height = max(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm)$$

STEP 3

Calculate Bradley's height.
$$Bradley's\, height = max(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm) =152.0\, cm$$

STEP 4

We also know from the assumptions that Josh is the shortest. Therefore, Josh's height is the minimum value among the given heights.
$$Josh's\, height = min(152.0\, cm,150.75\, cm,149.\, cm,149.25\, cm)$$

STEP 5

Calculate Josh's height.
$$Josh's\, height = min(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm) =149.25\, cm$$

STEP 6

Now, we know that Calvin is taller than Josh but shorter than Mark. Therefore, Calvin's height is the second smallest value among the given heights.
$$Calvin's\, height = second\, min(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm)$$

STEP 7

Calculate Calvin's height.
$$Calvin's\, height = second\, min(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm) =149.5\, cm$$

STEP 8

Finally, we know that Mark is taller than Calvin but shorter than Bradley. Therefore, Mark's height is the second largest value among the given heights.
$$Mark's\, height = second\, max(152.0\, cm,150.75\, cm,149.5\, cm,149.25\, cm)$$

Calculate Mark's height.
$$Mark's\, height = second\, max(152.\, cm,150.75\, cm,149.5\, cm,149.25\, cm) =150.75\, cm$$Mark's height is150.75 cm.