The sample space of Shari's tree diagram is the total possible outcomes of rolling the game piece and spinning the pointer.
It doesn't matter if Shari starts with the spinner or the game piece
<h3>How to determine the tree diagram</h3>
The experiment involves:
- Rolling a 12-sided game piece
- Spinning the pointer of a 4-section spinner
If Shari starts with the game piece, the sample size (n) would be:
n = 12 * 4
n = 48
If Shari starts with the spinner, the sample size (n) would be:
n = 4 * 12
n = 48
Notice that the sample size remains unchanged irrespective of what he starts with
Hence, it doesn't matter if Shari starts with the spinner or the game piece
Read more about tree diagram at:
brainly.com/question/2581880
Answer:
Quadrant II
Step-by-step explanation:
(-5,6)
The x coordinate is negative so the quadrant is either 2 or 3
The y coordinate is positive so the quadrant is either 1 or 2
To make both happen, it must be in quadrant 2
Quadrant II
Draw or sketch out any problems like this, otherwise they appear abstract.
A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so
pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)
A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)
A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.
Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.
I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)
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