The area of the shaded region, to the nearest tenth, is about: 17.4 m².
There are four quarter circles in the diagram given, therefore:
Area of the shaded region = area of square - area of full circle
= 9² - π(4.5²)
= 17.38.
Therefore, the area of the shaded region, to the nearest tenth, is about: 17.4 m².
Learn more about area on:
Answer:
Area= about 17 m²
Step-by-step explanation:
We are given a square of length 9 m
Inside the circle we are given 4 quarter circles at the four corners
Radius of circle= 9/2 m=4.5 m
Shaded area= area of square-area of 4 quarter circles
= area of square- area of a circle
(since 4 times of a quarter equals 1)
= 9×9- π×4.5×4.5
= 81-63.585
= 17.415 m²
Area: about 17 m²
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.
For more details regarding probability, visit:
#SPJ7
Answer:
c.
The experimental probability is 4.06 percentage points greater than the theoretical probability.
Step-by-step explanation:
Answer:
the first trip takes 3 hours
the second trip takes 3 hours and 30 minutes
Step-by-step explanation:
Answer:
the first trip takes 3 hours
the second trip takes 3 hours and 30 minutes
Step-by-step explanation: