Answer:
Step-by-step explanation:
The compound interest formula is equal to
where
A is the Final Investment Value (future 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
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Two events are said to be Disjoint or Mutually Exclusive if the two events can not happen at the same time.For example when we throw a die getting an even number is disjoint to getting an odd number.
I.e Probability(A∩B)=0
Let me explain this concept through venn diagram.
Pr[A∪B]=0.7, Pr[A]=0.25
Since events are Disjoint
Pr[A∩B]=0
Pr[A∪B]=Pr[A] + Pr[B]
0.7=0.25 +Pr[B]
0.7-0.25=Pr[B]
⇒Pr[B]=0.45=45/100=9/20
Now events are said to be independent if Pr[A and B]=Pr[A] ×Pr[B]
Events are said to be independent if occurrence of one is not affected by occurrence of other.For example getting multiple of 2 as one event and getting multiple of 3 as second event when we throw a die.
Pr[A∪B]=0.7, Pr[A]=0.25
Pr[A∪B]= Pr[A]+ Pr[B]-Pr[A∩B]
But Pr[A∩B]= Pr[A] ×Pr[B]
⇒Pr[A∪B]= Pr[A]+ Pr[B]- Pr[A] ×Pr[B]
⇒0.7=0.25+p-0.25×p
⇒0.7-0.25=p- 0.25 p
⇒0.45=0.75 p
⇒p= 0.45/0.75
⇒p =3/5
Answer:
a) T(r) = r.D(r)
b) 975 people per square mile.
Step-by-step explanation:
(a)
The units of D(r) are
when multiplying the density by the area we get the amount of people in that area, so
(b)
The average rate of change of T(r) over the interval [5,7] is
but D(7) = 350 and D(5) = 100, so
and the average rate of change of T(r) over the interval [5,7] is 975 people per square mile.
Answer:
The answer is A. $421.29
Step-by-step explanation:
Just keep finding 19% of the numbers next, and you add that all up and you get the answer.
250 x 19%=47.5. (250+47.5)=> 297.5x19%= 56.525. (297.5+56.525) =>354.025x19%=67.26475
354.025+67.26475=> 421.28975, which can round up to 421.29.
Answer:
The null and alternative hypothesis for this test are
Step-by-step explanation:
If we perform a hypothesis test, we can reject or not reject the null hypothesis.
To conclude that the tires have a decreased stopping distance (μ<215), we should state the null hypothesis 
and then go on with the analysis to reject it (or not).
If the null hypothesis is rejected, the claim of the manufacturer is rigth.
The alternative hypothesis would be 
, that would turn rigth if the null hypothesis is rejected.
