Answer: 0.51
Step-by-step explanation:
This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;
p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)
p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))
p = 0.51
490*x + 700*y ≤ 4000
It is ≤ as it can either be equal to 4000 per week or less than.
Footnote: Burritos are awesome
Answer:
The last answer, D
Step-by-step explanation:
i got it right on ed
Equation represents the difference in the number of foreign and domestic stamps Malik collected: X-34=y
equation represents the total number of stamps Malik collected:
212 = X-34-y
so,
245= X-Y
Situation :
Y= X-34
X-Y= 245
Answer:
The amount needed as a one-time deposit to earn $7,500 in 3 years is <em>$4388.17</em>
Step-by-step explanation:
<u>Basic Finance Formulas
</u>
One of the most-used formulas to compute present and future values is
Where FV is the future value, PV is the present value, r is the interest rate and n is the number of periods. It's vital to keep in mind that r and n must be referred to the same compounded time, e.g. r is compounded monthly and n is expressed in months
The question requires to compute the PV needed as a one-time deposit to earn a future value of $7,500 in 3 years at a 1.5% rate compounded monthly.
FV=7,500
r=1.5%=0.015
n=3*12=36 months
We converted n to months because r is compounded monthly
. The formula
must be managed to make PV isolated
Answer: The amount needed as a one-time deposit to earn $7,500 in 3 years is $4388.17
