Answer:
Step-by-step explanation:
we know that
The compound interest formula for this problem is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods in years
in this problem we have
substitute in the formula above
Answer:
-243
Step-by-step explanation:
![{( - 3)}^{ - 5} = \frac{1}{x} \\ \\ \therefore \: \frac{1}{ {( - 3)}^{ 5} } = \frac{1}{x} \\ \\ \therefore \: {( - 3)}^{ 5} = x \\ \\ \therefore \: - 243 = x \\ \\ \huge \red{ \boxed{\therefore \: x = - 243}}](https://tex.z-dn.net/?f=%20%7B%28%20-%203%29%7D%5E%7B%20-%205%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7Bx%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7B1%7D%7B%20%7B%28%20-%203%29%7D%5E%7B%205%7D%20%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7Bx%7D%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20%7B%28%20-%203%29%7D%5E%7B%205%7D%20%3D%20x%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20%20%20-%20243%20%3D%20x%20%5C%5C%20%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20x%20%3D%20%20-%20243%7D%7D)
Answer:
Step-by-step explanation:
10+10=20
6x6=36
your welcome
Answer:
a) 0.2416
b) 0.4172
c) 0.0253
Step-by-step explanation:
Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .
denoting event a A=the test proves correct and B=the river is polluted
a) the test indicates pollution when
- the river is polluted and the test is correct
- the river is not polluted and the test fails
then
P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416
b) according to Bayes
P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)
then
P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172
c) since
P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+ 0.16*0.12 = 0.7584
the rate of false positives is
P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253
The answer is the last on 12