Answer:
thus the probability that a part was received from supplier Z , given that is defective is 5/6 (83.33%)
Step-by-step explanation:
denoting A= a piece is defective , Bi = a piece is defective from the i-th supplier and Ci= choosing a piece from the the i-th supplier
then
P(A)= ∑ P(Bi)*P(C) with i from 1 to 3
P(A)= ∑ 5/100 * 24/100 + 10/100 * 36/100 + 6/100 * 40/100 = 9/125
from the theorem of Bayes
P(Cz/A)= P(Cz∩A)/P(A)
where
P(Cz/A) = probability of choosing a piece from Z , given that a defective part was obtained
P(Cz∩A)= probability of choosing a piece from Z that is defective = P(Bz) = 6/100
therefore
P(Cz/A)= P(Cz∩A)/P(A) = P(Bz)/P(A)= 6/100/(9/125) = 5/6 (83.33%)
thus the probability that a part was received from supplier Z , given that is defective is 5/6 (83.33%)
<h3>
Answer: D) 70</h3>
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Explanation:
Label a new point E at the intersection of the diagonals. The goal is to find angle CEB. Notice how angle AED and angle CEB are vertical angles, so angle AED is also x.
Recall that any rectangle has each diagonal that is the same length, and each diagonal cuts each other in half (aka bisect). This must mean segments DE and AE are the same length, and furthermore, triangle AED is isosceles.
Triangle AED being isosceles then tells us that the base angles ADE and DAE are the same measure (both being 55 in this case).
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To briefly summarize so far, we have these interior angles of triangle ADE
For any triangle, the three angles always add to 180, so,
A+D+E = 180
55+55+x = 180
110+x = 180
x = 180-110
x = 70
Between 4 and 5 is the spare root of 18
Answer:
Triangular Pyramid
Step-by-step explanation:
A triangular pyramid has 4 triangular sides and a rectangular base
Answer:
-3 + 4sqrt(2)
-3 - 4sqrt(2)
Step-by-step explanation:
(x – 4)(x + 10) = -17
FOIL on the left hand side (First outer inner last)
x^2 +10x-4x-40 = -17
x^2 +6x-40 =-17
Add 17 to each side
x^2 +6x-40+17 =-17+17
x^2 +6x -23 = 0
Using the quadratic formula
-b + - sqrt(b^2 -4ac)
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2a
where ax^2 +bx+c=0
-6 + - sqrt(6^2 -4*1*-23)
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2*1
-6 + - sqrt(36 +92)
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2
-6 + - sqrt(128)
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2
-6 + - 8sqrt(2)
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2
Divide top and bottom by 2
-3 + - 4sqrt(2)
