How many significant figures does the measurement 1.50 have?
2 answers:
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Answer: (i) 15% (ii) 0.6%
<u>Step-by-step explanation:</u>
Given: P(A) = 0.3 ⇒ ~P(A) = 0.7
P(B) = 0.3 ⇒ ~P(B) = 0.7
P(A ∪ B) = 0.6 ⇒ ~P(A ∪ B) = 0.4
If you don't have a calculator function for the Binomial Formula, the equation is: where
- n is the number of trials
- p is the probability of success
- X is the number of successes
(i) Probability of at least 5 --> P(X ≥ 5) means P(5) + P(6) + P(7) + P(8) + P(9) + P(10)
P(5): n = 10, p = 0.3, X = 5 → P(5) = 0.1029
P(6): n = 10, p = 0.3, X = 6 → P(6) = 0.0368
P(7): n = 10, p = 0.3, X = 7 → P(7) = 0.0090
P(8): n = 10, p = 0.3, X = 8 → P(8) = 0.0014
P(9): n = 10, p = 0.3, X = 9 → P(9) = 0.0001
P(10): n = 10, p = 0.3, X = 10 → P(10) =<u> 0.0000 </u>
TOTAL = 0.1502 → 15.02%
(ii) Probability of A or B = 10 --> P(X = 10)
P(10): n = 10, p = 0.6, X = 10 → P(10) = 0.0060 → 0.6%
The number of 1/3 cm-cubes that would fill the rectangular prism is approximately 20 cubes.
<h3>What is the Volume of a Cube?</h3>Volume = a³, where a is the side length.
<h3>What is the Volume of a Rectangular Prism?</h3>Volume = lwh
Given the following:
- a = ⅓ cm
- l = 4/2 cm = 1/2 cm
- w = 2/2 cm = 1 cm
- h = 3/2 cm
Volume of the rectangular prism = (1/2)(1)(3/2)
Volume of the rectangular prism = (1/2)(1)(3/2) = 0.75 cm³
Volume of the cube = (⅓)³ = 0.037 cm³
Number of cubes that would fill the prism = 0.75/0.037 ≈ 20 cubes.
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