If y varies inversely as x and y = 4 when x = 12, find the constant of variation
1 answer:
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Answer:
(1) 0.5933
(2) 0.8955
Step-by-step explanation:
We are given that all bags entering a research facility are screened.
Let Probability that bags entering the building contains forbidden material,
P(F) = 0.69
Probability that bags entering the building does not contains forbidden material, P(NF) = 1 - 0.69 = 0.31
Let event A = alarm gets triggered
Probability that alarm gets trigger given the bags contain forbidden material, P(A/F) = 0.77
Probability that alarm gets trigger given the bags does not contain forbidden material, P(A/NF) = 0.20
(1) Probability that a bag triggers the alarm, P(A) ;
P(A) = P(F) * P(A/F) + P(NF) * P(A/NF)
= (0.69 * 0.77) + (0.31 * 0.20) = 0.5313 + 0.062
= 0.5933
Therefore, probability that a bag triggers the alarm is 0.5933 .
(2) Probability that a bag that triggers the alarm will actually contain forbidden material is given by P(F/A) ;
Using Bayes' Theorem;
P(F/A) = =
=
= 0.8955
-18/3
18/(-3)
<h2>Explanation:</h2>The complete question is as follows:
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Which expression best estimates -18 1/4 divided by 2 2/3?
18/3
-18/3
-18/(-3)
18/(-3)
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So in this exercise, we have two mixed fractions. This type of fractions comes from the combination of a whole number and a proper fraction fraction (numerator less than denominator). In order to solve this problem, we need to transform these mixed fractions into improper fractions (numerator greater than denominator). So:
By dividing:
<em>So the expressions that best estimates -18 1/4 divided by 2 2/3 are:</em>
<em>-18/3 </em>
<em>18/(-3)</em>
<em>Whose value in decimal form is -6.0</em>
<h2 /><h2>Learn more:</h2>Estimate the distance between cities: brainly.com/question/12062666
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