Answer:
78.5%
Step-by-step explanation:
The area of the square is equal to diameter squared
i.e 4 in × 4 in = 16 square inches
The area of the circle is π × r²
i.e π × 2² = 12.56637061
The percent of the time the point will be in the circle = (Area of the circle) ÷ (Area of the square) × 100
i.e
× 100 = 78.53981631%
And is equal to 78.5% (rounded up to the nearest tenth of a percent)
Answer:
Full proof below
Step-by-step explanation:

Answer:
a.) The sum of the weights of the two in insects is 0.0031 grams. (0.0031 grams)
b.) The fly is 0.0013 grams heavier than the gnat. (0.0013 grams)
Step-by-step explanation:
2.2 * 10^-3 = 2.2 * 1/1000 which is 2.2/1000.
9 * 10^-4 = 9 * 1/10000 = 9/10000
To add 9/10000 to 2.2/1000 we have to find the common denominator, which will be 10000.
So we do:
2.2/1000 * 10/10 = 22/10000
9/10000 + 22/10000 = 31/10000 = 0.0031.
The sum of the weights of the two in insects is 0.0031 grams.
To find how much heavier the fly is than the gnat we do:
22/10000 - 9/10000 = 13/10000 = 0.0013
The fly is 0.0013 grams heavier than the gnat.
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