The correct answer is (c) The experimental probability is 4.06 percentage points greater than the theoretical probability.
To compare the theoretical probability and the experimental probability of drawing a blue tile, we need to first calculate each one.
Theoretical probability of drawing a blue tile:
Total number of tiles = 5 + 6 + 2 + 4 + 1 + 10 + 5 + 3 = 36
Number of blue tiles = 10
Theoretical probability of drawing a blue tile = number of blue tiles / total number of tiles = 10 / 36 = 27.78%
Experimental probability of drawing a blue tile:
Number of draws in the five trials = 54 + 36 + 80 + 22 + 75 = 267
Number of blue tiles drawn in the five trials = 18 + 11 + 20 + 4 + 32 = 85
Experimental probability of drawing a blue tile = number of blue tiles drawn / number of draws = 85 / 267 = 31.84%
To compare the two probabilities, we subtract the experimental probability from the theoretical probability:
Theoretical probability - experimental probability = 27.78% - 31.84% = -4.06%
The result is negative, which means that the experimental probability is greater than the theoretical probability.
However, we need to express this difference as an absolute value (i.e., without the negative sign) and as a number of percentage points.
The absolute value of -4.06% is 4.06%, and this is the amount by which the experimental probability is greater than the theoretical probability.
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Answer:
c.
The experimental probability is 4.06 percentage points greater than the theoretical probability.
Step-by-step explanation:
Answer:
Area of a rectangle(A) is multiply the length by its width.
i.e where l is the length and w is the width of the rectangle respectively
As per the given statement:
The area of the rug is 36 1/4 square feet the rug is 8 3/4.
⇒ square feet.
and
width of a rug(w) = feet.
By definition of area;
Substitute the given values we get;
Divide both sides by 8.75 we get;
l=4.14285714 feet
Therefore, the length of the rug is, 4.14285714 feet