Approximately 35.73% of all businesses are owned by women. If you take a sample of 105 businesses in Michigan, what is the probability that less than 32.92% of them would be owned by women?

Question 4 options:

Energetic Co., a battery manufacturer, claims their battery lasts for 67.37 months with a standard deviation of 11.583 months. You randomly sample 16 of these batteries. Assuming the distribution for the battery lifetime is approximately normal, what is the probability the average lifetime is greater than 66.54?

Question 9 options:

Answer all parts of question 1.

1a.) Find the limits, as t approaches both positive infinity and negative infinity, of the solution Φ(t) of the ivp x' = (x+2)(1-x^4), x(0) = 0

1b.) Find the value of a such that the existence and uniqueness theorem applies to the ivp x' = (3/2)((|x|)^(1/3)), x(0) = a.

1c.) Explain why x' + ((sin(t)) / ((e^t) + 1)) * x = 0 cannot have a solution x(t) such that x(1) = 1 and x(2) = -1.

2. Determine the equilibium concentration of each of the reactants and products in Solution B-1 using the table provided below (ICE table). Fill in all blank values

3.Determine the equilibium concentration of each of the reactants and products in Solution B-2 using the table provided below (ICE table). Fill in all blank values

4.Determine the equilibium concentration of each of the reactants and products in Solution B-3 using the table provided below (ICE table). Fill in all blank values

5. Determine the equilibium concentration of each of the reactants and products in Solution B-4 using the table provided below (ICE table). Fill in all blank values

6.Determine the equilibium concentration of each of the reactants and products in Solution B-5 using the table provided below (ICE table). Fill in all blank values

I have no idea how to do problems 2-6. Could someone please help me. Your help is always greatly appreciated! Thank you in advance.

You obtain this frequency distribution that displays a sample of scores from the population; calculate standard deviation for this sample. Round answer to two decimal places.

C++ Program

Overload the following operators to work with the Rational class and add test cases in the driver program. Make sure your driver program now tests each of these symbols for your Rational Class.

+

–

*

/

==

!=

<

<=

>

>=

<< (stream insertion operator, use the toString function)

>> (stream extraction operator)

1. Let R be the rectangle formed by going along line segments from 1 to i to -1 to -i and back to 1. If f(z)=1/(z-5i) then the integral around R of f(z) has value of?

2. Let C be the circle of radius fifty centered at the origin with positive orientation. Then the integral around C of f(z) = 1/(z-4) has value of?

3. Let C be the circle of radius fifty centered at the origin with positive orientation

of F(z)=[1/(z-i)] + [1/(z-2)] then the integral around C of F(z) has value of?

4. Let C be the circle of radius six centered at the origin with positive orientation.

If G(z) = [1/(z-2)] + [1/(z-8)] then the integral around C of G(z) has value of?

5. The integral of f(z) = 1/[(z-5)(z-8)] around the circle of radius one centered at z=1 with positive orientation has value zero? True or false?

CS 209 Data Structure

3.

a. Create a class named Point3D that contains 3 instance variables x, y, and z.

b. Create a constructor that sets the variables. Also, create get and set methods for each variable.

c. Create a toString() method.

d. Make Point3D implement Comparable.

Also, create a compareTo(Point3D other) method that compares based on

the x-coordinate, then y-coordinate for tiebreakers, then z-coordinate for tiebreakers.

For example, (1, 2, 5) comes before (2, 1, 4), which comes before (2, 2, 3), which comes before (2, 2, 4).

e. Create a TreeSet of Point3D and insert a few elements including duplicates.

Verify that the TreeSet removes all the duplicates.

Also verify that the TreeSet orders the elements properly.

DataSpan, Inc., automated its plant at the start of the current year and installed a flexible manufacturing system. The company is also evaluating its suppliers and moving toward Lean Production. Many adjustment problems have been encountered, including problems relating to performance measurement. After much study, the company has decided to use the performance measures below, and it has gathered data relating to these measures for the first four months of operations.

Management has asked for your help in computing throughput time, delivery cycle time, and MCE. The following average times have been logged over the last four months:

Required:

1-a. Compute the throughput time for each month. (Round your answers to 1 decimal place.)

1-b. Compute the manufacturing cycle efficiency (MCE) for each month. (Round your answers to 1 decimal place.)

1-c. Compute the delivery cycle time for each month. (Round your answers to 1 decimal place.)

3-a. Refer to the move time, process time, and so forth, given for month 4. Assume that in month 5 the move time, process time, and so forth, are the same as in month 4, except that through the use of Lean Production the company is able to completely eliminate the queue time during production. Compute the new throughput time and MCE. (Round your answers to 1 decimal place.)

3-b. Refer to the move time, process time, and so forth, given for month 4. Assume in month 6 that the move time, process time, and so forth, are again the same as in month 4, except that the company is able to completely eliminate both the queue time during production and the inspection time. Compute the new throughput time and MCE. (Round your answers to 1 decimal place.)

PYTHON

The nth term of the sequence is given by: X_n = (2 ∗ X_n-3) +X_n-2+/ + (4 ∗ X_n-1)

For example, if the first three values in the sequence were 1, 2 and 3. The fourth value would be: (2 * 1) + 2 + (4 * 3) = 16 Replacing the previous three Integers (2, 3 and 16) in the formula would determine the fifth value in the sequence. The nth term can be calculated by repeating this process. Write a program that includes two functions main() and calculate()which are used to determine the nth term in the sequence.

The main() function: • Displays a description of the program’s function • Prompts the user for the number of values in the sequence (n) • Prompts the user for the first three values in the sequence • Using a loop, calls the calculate() function repeatedly until the nth value is determined • Displays the nth value of the sequence

The calculate() function: • Accepts three values as arguments • Calculates the next value in the sequence • Returns the calculated value

1. 1 year(s) ago, Vince had 143,500 dollars in his account. In 4 year(s), he expects to have 309,100 dollars. If he has earned and expects to earn the same return each year from 1 year(s) ago to 4 year(s) from today, then how much does he expect to have in 2 year(s) from today?

2. Sasha owns two investments, A and B, that have a combined total value of 45,300 dollars. Investment A is expected to pay 21,000 dollars in 7 year(s) from today and has an expected return of 13.24 percent per year. Investment B is expected to pay X in 4 years from today and has an expected return of 7.99 percent per year. What is X, the cash flow expected from investment B in 4 years from today?