A 34kg child runs with a speed of 2.4 m/s tangential to the rim of a stationary merry go round. The merry go round has a moment of inertia of 520 kg*m^2 and a radius of 2.00m. After the child hops on the merry go round it rotates with an angular speed of 0.3 rad/s. Find the initial and final kinetic energy of the system. (merry go round and the child). If a frictional torque of 340 is present to slow down the merry go round, find the angular deceleration and calculate the angle in radians in which the merry go round rotates until it stops

Jason has not been studying and believes that the probability that he will pass his chemistry exam is 0.4, the probability that he will pass the biology exam is 0.3 and the probability that he will pass both exams is 0.18.

1) Find the probability that Jason will pass at least one of the exams.

2)Find the probability that he will pass the chemistry exam given that he passes the biology exam.

3)Find the probability that he will pass the biology exam if he passes the chemistry exam.

4)Find the probability that he will fail both exams.

Please answer questions and explain answer!! Thank you

question:

Bits 0 and 1 are transmitted in the data transmission channel,  due to a noise, a single bit is incorrectly received by a probability of 0.3 , Playback For encoding instead of bit 0, the code word 00000 and bit 1 are transmitted as code word 11111,The receiver decodes the codeword received by selecting the most frequently occurring bit ,  for example 00000 → 0, 01010 →

(a) What is the probability that the received code word is correctly decoded?

(b) When millions of bits are transmitted over the data channel over the above repetition coding, what is the expected value of decoded codewords incorrectly?

2. The following data of the dust levels in both urban homes and farm homes is given below as:

U: 6.0, 5.0, 11.0, 33.0, 4.0, 5.0, 80.0, 18.0, 35.0, 17.0, 23.0

F: 4.0, 14.0, 11.0, 9.0, 9.0, 8.0, 4.0, 20.0, 5.0, 8.9, 21.0, 9.2, 3.0, 2.0, 0.3

a) Compute sample mean, median and quartiles of each sample. How do they compare? Comment on your findings.

b) Construct a stem-and-leaf diagram for each sample and a comparative box plot. Compare the two samples and comment on the possible presence of outliers.

Suppose you want to estimate the average mpg for cars being driven from campus to the Brass Rail. You sample a few of cars. The average mpg in your sample is 22, and the standard deviation is 10. If you want the error of the confidence interval to be no greater than 0.3 and to be 90% likely to contain the true population mean, how many cars should you randomly sample?

Group of answer choices

A)about 3,007 cars

B)about 9,112 cars

C)about 311 cars

D)about 942

E)This question cannot be answered using the information given

Convection Heat transfer internal flow

Consider water flowing in a heated tube. The tube is 14 m long with an inner diameter of 1 cm. The heat
is added at 1500 W/m2 uniformly along the tube. Water flows at 0.3 m/s. Use the following water property
? = 1000 kg/m³, ? = 1.4 × 10^?3 kg/m·s, cp = 4.2 kJ/kg·K, k = 0.58 W/m·K, and determine

1. Heat transfer coefficient at the tube exit.
2. Tube surface temperature at the exit, with the mean inlet temperature of water at 7°C.

You are trying to design a system that will determine whether someone has a PhD in music. You have the following information:

• The probability that a music PhD can correctly identify a composer from a 5-second audio clip is 85%
• The probability that anyone else can identify a composer from a 5-second audio clip is 2%
• Music PhDs make up 0.3% of the population

You stop someone on the street and play them a 5-second segment of Claire de Lune. They correctly identify the composer as Debussy. Based on the information above, what is the probability that this person has a music PhD?

There are three theories that explain exchange rate behaviour, two of these deals with how inflation rates affect the exchange rate. They are purchasing power parity (PPP) and International Fisher Effect (IFE).

(a) In reality, PPP does not hold. Even PPP holds, this does not consistently occur. Give two major reasons why PPP does not hold consistently. Explain in detail.

(b) Assume the spot exchange rate of Singapore dollar to US dollar is US$0.7420/S$. The one-year interest rate is 0.3% in U.S. and 6% in Singapore. What would be the spot rate in one year according to IFE?

Your marketing research department provides the following estimated demand function for your product: Qd = 500.6 - 11.4P + 0.5INCOME where P is the price of your product and INCOME is average income.

a. Is your product a normal good or an inferior good? Explain your answer.

b. The standard error for the price coefficient is 2.0. What is its t-statistic? What can you conclude about the coefficient's statistical significance?

c. The standard error for the income coefficient is 0.3. What is its t-statistic? What can you conclude about the coefficient's statistical significance?