The answers are a b c d e or all of them except the chocolate chip one
Answer:
The probability that a ship that is declared defecive is sound is 0.375
Step-by-step explanation:
Let P(A|B) denote the conditional probability of A given B. We will make use of the equation
P(A|B) = P(A) × P(B|A) / P(B)
We have the probabilities:
- P(Declared Defective (detected) | Defective) = 0.95
- P(not Detected | Defective) = 1-0.95=0.05
- P(Declared Sound | Sound) = 0.97
- P(Declared Defective |Sound) = 1-0.97=0.03
We can calculate:
P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076
P(S | Declared Defective) =
(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)
=0.95×0.03 /0.076 =0.375
Answer:
0.4+(-6.3)=(-5.9)
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Since ΔABC is isosceles with ∠A = 100° then the base angles are equal, that is
∠C = ∠B , that is
14x - 2 = 12x + 4 ( subtract 12x from both sides )
2x - 2 = 4 ( add 2 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
By using subtraction of <em>yellow</em> areas from the <em>entire</em> squares, the areas of the <em>inscribed</em> shapes are listed below:
- 18 units
- 20 units
- 12 units
- 12 units
<h3>How to calculate the areas of the inscribed shapes</h3>
The areas of the <em>inscribed</em> shapes can be easily found by subtracting the <em>yellow</em> areas from the square, in order to find the value of <em>green</em> areas. Now we proceed to find the result for each case by using <em>area</em> formulae for triangles:
Case A
A = 6² - 0.5 · (3) · (6) - 0.5 · (3) · (6)
A = 36 - 18
A = 18 units
Case B
A = 6² - 4 · 0.5 · (2) · (4)
A = 36 - 16
A = 20 units
Case C
A = 6² - 0.5 · 6² - 0.5 · 6 · 2
A = 36 - 18 - 6
A = 12 units
Case D
A = 6² - 2 · 0.5 · 6 · 4
A = 36 - 24
A = 12 units
To learn more on inscribed areas: brainly.com/question/22964077
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