Answer: Option (C) is the correct answer.
Step-by-step explanation:
Amount of purchase is give as $205,000.
We have to calculate 15% of $205,000. The value 15% can be written as follows.
15% =
or, 0.15
Thus, calculate the 15% of $205,000 as follows.
0.15 × 205,000
= 30,750
Thus, we can conclude that $30,750 is the 15-percent down payment on a purchase price of $205,000.
Answer:
or
5.32cm correct to 2 decimal places
Step-by-step explanation:
This is a right angled triangle from what I know so we have to apply pythagoras theorem.
we need to rearrange this to find a²
This can either be written as a fraction or decimal.
OR
correct to 2 decimal places
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