Arianna has a coin collection. She keeps 4 of the coins in her box, which is 10% of the

Mathematics

1 answer:

natima [27]2 years ago

5 0

Answer: 40 coins. Doesn't your profile say college?

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A component is assembled in a four-step process. The probability of making a defect in step 1 is 10%; in step 2, 20%; in step 3,

rjkz [21]

Answer:

0.37072

Step-by-step explanation:

Let A be the event that step 1 is defective (P(A) = 10%), B the event that step 2 is defective(P(B) = 20%), C the event that step 3 is defective (P(C) = 8%), D the event that step 4 is defective(P(D) = 5%). Let us suppose that the occurance of a failure at any step is indepent of the other steps.

Recall the following properties

$P(A) = 1- P(A^c)$

$(A\cup B )^c = A^c \cap B^c)$

And given A, B, C, D independent , then

$P(A\cap B \cap C \cap D) = P(A)P(B)P(C)P(D)$

REcall that if the a set of events A,B,C,D are independent, their complements are also indepent.

Since we are asked for the probability of a defective item, this means that at least one of the steps is defective. Then, we are asked for the following probability:

$P(A\cup B \cup C \cup D) = 1 - P((A\cup B \cup C \cup D)^c) = 1 - P(A^c \cap B^c \cap C^c \cap D^c ) = 1 - P(A^c)P(B^c) P(C^c) P(D^c) = 1-(1-P(A))(1-P(B))(1-P(C))(1-P(D))$

$= 1-(0.9)(0.8)(0.92)(0.95) = 0.37072$

4 0

2 years ago

Read 2 more answers

Point S is located at (9,-3). Point T is located

Anna007 [38]

A few inches if your doing on paper

3 0

2 years ago

Pls help I've been trying all night I don't get it

Bad White [126]

Answer:

$x^2 + 12x +36 = (x+6)^2$

Step-by-step explanation:

$x^{2} + 12x +36\\\\\\Step 1: Find\ factors \ of\ 36\ that \ add \ to \ +12.\\(1, 36)\ , \ ( 2, 18), \ (3, 12), \ (4, 9), \ (6, 6)\\\\Step2. \ From \ the \ pairs \ above \ (6 , 6) \ adds \ to \ +12.\\\\So \ the \ equation \ can\ be \ written \ as \\x^{2} + 6x +6x +36 = (x^{2} + 6x) + (6x + 36)$