Suppose that the failure rate (failing to detect smoke when smoke is present) for a brand of smoke detector is 1 in 2000. For safety, two of these smoke detector are

installed in a laboratory.

(a) What is the probability that smoke is not detected in the laboratory when smoke

is present in the laboratory?

(b) What is probability that both detectors sound an alarm when smoke is present in

the laboratory?

(c) What is the probability that one of the detectors sounds the alarm and the other

fails to sound the alarm when smoke is present in the laboratory?

The annual profits for a company are given in the following table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest ten-thousandth. Using this equation, estimate the year in which the profits would reach 413 thousand dollars.

Year (x)                Profits (y)

(in thousands of dollars)

1999 112

2000 160

2001 160

2002 173

2003 226

Can you please show step by step solution thanks.

1) What is the important legal contribution of each court decisions (see below, see 2)? What impact did these court decisions have on society and life/business in the United States?  

2) Which did you find the most interesting?

1824 Gibbons v. Ogden

1942 Wickard v. Filburn

1964 Katzenbach v. McClung

2000 United States v. Morrison

2012 National Federation of Independent Business v. Sebelius

A particle of charge -3 C is momentarily located at the position (4,2,7) [all distances in meters]. The particle's velocity is 450i^+150j^+500k^ [in m/s] What is the magnetic field vector due to the particle at the position (8,6,7)? b.) At that same instant, a second particle of charge 11 C is momentarily located at the origin, moving along the positive x-axis with a speed of 2000 m/s. What is the total magnetic field at the target position from the previous problem?

Housing supply and demand is an example of the effects supply and demand can have on price elasticity. The most recent housing boom from 2000-2005 was not only a boom in housing prices, but also in-house construction.

Based on your readings, there are a number of factors that determine housing prices. Some are based on economic theories and some are based on more intangible factors. Describe the key economic factors which effect housing prices and how they are determined (Home Guru).

Why Might Restaurants be Considered Safe During the Current National Pandemic?

Stephan Logan, M. Sc., Indigo Instruments, Modern Resource Management, wrote on March 10, 2000 that:

"There may be a threat to the restaurant industry (during the national pandemic) but in reality, they are the safest places other than your own kitchen."

Based on what was conveyed in the Webinar, would you agree with this statement? Why or Why Not?

Are there any variables that might cause you to disagree? Why?

a. Define elasticity, calculate and interpret the following elasticities:

b. Outline the three (3) motives of money demand.

c. Highlight any two (2) functions of money.

d. Discuss any five (5) reasons behind the prevalence of poverty in rural areas.

The number of commercial airline boardings on domestic flights increased steadily during the 1990s as shown in the table below. Let​ f(t) be the number of commercial airline boardings on domestic flights​ (in millions) for the year that is t years since 1990.

Numbers of Commercial Airline Boardings on Domestic Flights

f f(x)

Year Number of Boardings​ (millions)

1991 452

1995 547

1997 599

1999 635

2000 666

Find an equation of f.

Maple, Inc. would like to sell an additional 6,500 shares of stock using the Dutch auction method. The bids received are as follows: Bidder Quantity Price A 1000 $15 B 1500 $25 C 2500 $20 D 1500 $12 E 2000 $18 Bidder B will receive ____________ shares at a price of _____________. Select one: a. 1000; $15 b. 1000; $12 c. 929; $15 d. 1393; $15 e. 1857; $12