Answer:
Given that a bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earns interest several different ways at a rate of 2% for 3 years.a) the interest if it is computed using simple interest. 12.00= dollarsb) the interest if it is compounded annually.= dollarsc) the interest if it is compounded semiannually=d) the interest if it is compounded quarterly.=e) the interest if it is compounded monthly.=
Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
Answer:
The required probability is 0.4098.
Step-by-step explanation:
Consider the provided information.
According to conditional probability that A occurs , given B has occurred.
Assume that the car lot contains 40 percent BMWs, 25 percent Volvos, and 35 percent Jaguars.
Pr(BMWs)=0.40
Pr(Volvos)=0.25
Pr(Jaguars)=0.35
Of the BMWs, 90 percent have navigation systems, 30 percent of the Volvos have navigation systems, and 50 percent of the Jaguars have navigation systems.
Pr(Navigation | BMWs)=0.
90
Pr(Navigation l Volvos)=0.30
Pr(Navigation l Jaguars)=0.50
Total cars with navigation system = 0.40×0.90+0.25×0.30+0.35×0.50
=0.36+0.075+0.175=0.61
Pr(Not Bmw l Navigation system) = 
Hence, the required probability is 0.4098.
Answer:
15 sec
Step-by-step explanation:
Data:
let m = 600 kg
b = 50
the differential equation will be:
