A cab drives down a pedestrian and leaves the scene. There are two taxi companies in the city: green taxis and blue taxis.
85% of taxis are green, 15% are blue.
A witness has identified the taxi as blue. It is assumed that witnesses are able to identify the correct taxi color in 80% of the cases and mistake 20% of the cases.
What is the likelihood that the taxi involved was blue? What mistakes are common to do in this type of problem? commentary.
In: Finance
In: Physics
In: Nursing
A rectangular loop is made by a metal bar that slides down a set of parallel rails of negligible resistance in a vertical gravitational field g. The rails are connected together by a third rail of negligible resistance The resulting loop is in a uniform, vertical magnetic field B. First assume there is no friction between the bar and the rails. (a) Does the bar acquire a constant velocity and if so what is it? (b) Now take the coefficient of kinetic friction between the bar and the rails to be µk. In this case does the wire acquire a constant velocity and if so what is it? (c) Show how your answers in (a) and (b) are, or are not, consistent with the principle of the conservation of energy. (c) If the direction of B is reversed, do your answers in (a) or (b) change? Explain
In: Physics
A home is purchased for $153200. The homeowner pays $30640 down and finances the balance for 30 years at 7.5% compounded monthly.
a. Find the size of the payments rounded up to the next cent.
b. How much of the first payment is interest?
c. How much is still owed on the loan just after 110 payments.
d. What is the owner's equity after 110 payments?
e. How much is owed just before the 110 payment is actually made?
Just after 110 payments are made, the loan is refinanced at 6% compounded monthly.
a. If the duration of the original loan remains the same, find the size of the new payments rounded up to the next cent.
b. If money is worth 5.25% compounded monthly to the homeowner, what is the present value of the savings in interest at the time of refinancing?
c. If the homeowner continues with the original payments, find the number of full payments required to pay off the loan. full payments
d. Find the size of the smaller concluding payment at the end of the next month.
In: Accounting
The diagram shows a mass after it slides down the inclined
plane. There is a static
friction coefficient of 0.5 and a kinetic friction coefficient of
0.3 between the box
and the incline. The angle of the incline is 30 degrees , and the
box has a mass of 4
kg . The starting height at the top of the ramp is 0.8 meters (and
the distance along
the ramp is 1.6 meters ).
A) Prove, with numbers, that the box, if let go from rest at the
top of the ramp
*will* start to slide down?
B) Calculate the magnitude of the energy “lost” due to the work
done by friction
(in Joules).
C) Calculate the speed of the box at the bottom of the ramp (in
m/sec).
In: Physics
What advantage would an organism have if it can break down starch?
In: Biology
A person cuts a piece of Bronze that is 5" long with a 2.5" diameter down to 2.100 Dia.
It is done in 2 roughing passes and 1 finishing pass.
First pass from 2.5" to 2.3"
Second Pass from 2.3" to 2.110"
Third pass from 2.110" to 2.100"
What is the machine cutting time (in seconds)?
CS= 110 fpm for roughing and 140 fpm for finishing
Feed = .02 "/rev for roughing and .01"/rev for finishing
In: Mechanical Engineering
In: Biology
How are the molecules of a saltine cracker (they contain amylose and amylopectin) broken down and absorbed into your body? Once they are absorbed, how are these energetic molecules stored until the body needs energy? How are these storage molecules broken down by cells so that they can be utilized by the organism? What hormone molecule regulates the levels of glucagons in the blood, and how do they do this? What diseases result when these hormone molecules stop functioning and how do these diseases arise?
In: Biology