PLEASE HELP! URGENT! 30 POINTS!
2 answers:
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The probability of winning the game is 0.065
<h3>The description of the game</h3>The game involves throwing two darts at two targets.
To win the game, the darts must hit anywhere in the following shapes
- Rectangle: 5 by 4 inches
- Circle: Radius, r = 3 inches
The area of the paper is:
Area = 8.5 inches * 11 inches
Area = 93.5 square inches
The area of the rectangle on the paper is:
Area = 5 inches * 4 inches
Area = 20 square inches
The area of the circle on the paper is:
Area = π * (3 inches)²
Area = 28.3 square inches
The probability of landing on both shapes is
P(Both) = 20/93.5 * 28.3/93.5
Evaluate
P(Both) = 0.065
Hence, the probability of winning the game is 0.065
Read more about probability at:
#SPJ1
Answer:
The answer is 1/9 ⇒ the second answer
Step-by-step explanation:
* In the exponential functions we have some rules
(1) b^(-m) = 1/(b^m) (for all nonzero real numbers b)
- If we have negative power we reciprocal the base
to get positive power
(2) (b^m)^n = b^(mn)
- If we have power over power we multiply them
* In our problem:
- At first change 27 to b^n
∵ 27 = 3 × 3 × 3 = 3³
∴
* Lets use rule (2)
∴ ⇒ 3 × -2/3 = -2
* Use rule (1)
∴ ⇒ reciprocal the fraction to change the sig of the power
* The answer is 1/9