Q and A for the topic: General

Consider the following figure. A horizontal table top is shown to extend righward from a vertical wall. An object of mass m1 hangs from a string that passes over a very light fixed pulley P1 anchored at the right edge of the table surface. The string connects to a second very light pulley P2. A second string passes around pulley P2 with one end attached to the wall and the other to an object of mass m2 on the frictionless, horizontal table. (a) If a1 and a2 are the accelerations of m1 and m2, respectively, what is the relation between these accelerations? (Use any variable or symbol stated above as necessary.) a2 = ?

Suppose there is an urn with 6 red balls and 4 yellow balls. We draw two balls from the urn, without replacement. (a) What is the probability that both balls are red? (b) What is the probability that both balls are yellow? (c) What is the probability of drawing one red and one yellow ball, in either order? (d) What is the probability that at least one of the balls is yellow?

rob has a job that pays 14.35 per hour for a 40-hour work week. He is paid time and a half for every our over 40 that he works in a week. What will his gross pay be for a week in which he works 51 hours?

Double integrals are part of the fundamental concepts of Differential and Integral Calculus when we are interested in working with spatial notions of volumes or even surface areas. Based on this concept, judge the following information: I. To calculate a double integral in a rectangular region, we proceed with the use of dodecahedrons to approximate the volume of a surface. II. The gradient vector is used to calculate iterated integrals. III. The surface volume is approximated by the Riemann sum limit for functions of two variables. What is stated in:

Exercise 3 (15 points): Demonstrate the following properties, justifying: 1) If A, B and C are matrices of format m × n, then A + (B + C) = (A + B) + C. 2) If A is a matrix of format m × n and r, s are scalars, then (r + s)A = rA + sA.

X =+5/4 =7/4

The length of an empty cuboid room is 6 m, the width is 75% of it, and the height of the room is the length 2/5of the room. How many cubic meters of air are in this room?

Find an equation of the plane α if it passes through the point M (1,2,1) and is parallel to the plane β with equation 4x - y + z + 10 = 0.

A manufacturer of custom drinking mugs has a fixed setup cost of $1,000 per order plus a variable cost of $1.50 per mug. How many mugs were produced when the total cost was $2, 800?

The MSC was curious to see whether they could say that the mean number of visits per student after COVID is more than during COVID. We randomly took a sample of 64 students that visited the MSC during COVID and the mean number of visits was 2.8 with a standard deviation of 1.05. After COVID we took a random sample of 64 students that visited the MSC and found the mean number of visits per student was 3.2 with a standard deviation of 1.12. Run a hypothesis test at a significance level of 0.10 on the claim that the mean number of visits per student after COVID is greater than during COVID. Answer: 1. Null and Alternative Hypothesis 2. Test Statistic 3. P-Value - just state the p-value 4. Decision 5. Conclusion

Solve 4y +3c=b-4 solve for y

Find future value of a bank account after 3 years if present value is $4000 earns 4.6% p.a interest comppoundly quarterly

Aleander invested $16400 over 6 years at 7.4 % p.a invest compounded monthly. calculate value of investment after 4 years ?

ABC Corp. has just paid a dividend of $0.45. ABC has an annual required return of 11.68%. Attempt 1/5 for 10 pts. Part 1 If dividends are annual and expected to be constant, what is the value of the stock? 3.85 Correct ✓ Attempt 1/5 for 10 pts. Part 2 What is ABC's dividend yield? 11.88% Correct ✓ Attempt 1/5 for 10 pts. Part 3 From now on, assume that the dividend of $0.45 was a quarterly dividend. What is the quarterly discount rate? 2.7732% Correct ✓ Attempt 2/5 for 9 pts. Part 4 What is the value if dividends are constant and quarterly? 16.2 Correct ✓ Attempt 1/5 for 10 pts. Part 5 We now think that dividends will grow by 0.5% from quarter to quarter. The firm just paid the quarterly dividend of $0.45. What is the value of the stock? 19.88 Correct ✓ Attempt 2/5 for 9 pts. Part 6 A different analyst thinks that ABC's dividends will grow by 5% for the next 4 quarters, and then grow by 0.5% thereafter. What is the value of the stock?

Intro You bought a 10-year zero-coupon bond with a face value of $1,000 and a yield to maturity of 3.1% (EAR). You keep the bond for 5 years before selling it. Attempt 1/5 for 10 pts. Part 1 What was the price of the bond when you bought it? Part 2 What is the rate of return (HPR) if the yield to maturity is 4.9% when you sell the bond? Part 3 What is the rate of return (HPR) if the yield to maturity is 1.9% when you sell the bond?

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers per minute, and passenger arrivals follow a Poisson distribution. (Round your answers to six decimal places.) solve and Compute the probability that three or fewer passengers arrive in a one-minute period. solve and Compute the probability of no arrivals in a 21-second period. solve and Compute the probability of at least one arrival in a 21-second period.

3(x+6)=39 then x =

A bag holds black, white and green marbles. If one marble is randomly chosen from the bag, the probability that it is black is 3/5. The probability that it is white is equal to the probability that it is green. If there are 9 black marbles, how many marbles are in the bag?

A ball moves and travels 144m in 12 seconds, what is the speed?

A ball moves and travels 144 m in 12 seconds, what is the speed?