PLS NEED HELP!A club had 5 members in 2019, this year they now have 14 members. Calculate and interpret the percent change in th
2 answers:
You might be interested in
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
Answer:
Triangles ABC and MNO are similar by SSS
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional
In this problem
If this problem the corresponding sides are
AB and MN
BC and NO
AC and MO
Verify if the corresponding sides are proportional
substitute the given values
----- is true
so
When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity
therefore
Triangles ABC and MNO are similar by SSS