Answer:
49.7%
Step-by-step explanation:
A cdircle is located within a square.
<u>Area of the circle</u>
Area = 
, where r = 4 units.
Area Circle = 50.3 units^2
<u>Area of the square</u>
Area = l*w or l^2 for a square, since l = w
Area = (10 units)^2
Area = 100 units^2
<u>Area in the square but outside the circle</u>
This is the difference [Square minus Circle Areas]
Square minus Circle Areas = 100 - 50.3 or <u>49.7 units^2</u>
<u>Probability</u>
The probability of picking a point in the square that is not in the circle is the ration of the two areas: <u>[Outside Circle/Square]x100%</u>
<u></u>
<u>(</u>49.7 units^2)/(100 units^2)x100% = 49.7%
<u></u>
<h3><u>S</u><u>olution</u></h3>
1). 1/3 + 1/5 = (5 + 3)/15
= 8/15. Ans.
2).
==> 3/5 - 1/6
= (3×5 - 5)/30
= (15 - 5)/30
= 10/30
= 1/3 Ans.
3).
==> 2/3 ÷ 3/4
= 2/3 × 4/3
= 8/9 Ans.
4).
==> 3/8 + 5/12
= (3×3 + 10)/24
= (9+10)/24
= 19/24 Ans.
5).
==> 5/16 - 3/32
= (5×2 - 3)/32
= (10-3)/32
= 7/32 Ans.
P(pirate hits) = 1/4
P(captain misses) = 1 - 3/4 = 1/4
We assume these events are independent, so their joint probability is the product of their individual probabilities:
P(pirate hits & captain misses) = (1/4)·(1/4) = 1/16
A line or a point with no thickness
Answer:
2/3 as a decimal is 0.6 recurring
Step-by-step explanation:
See above