Which of the following tables shows a valid probability density function? Select all correct answers.

Select all that apply:

• x	P(X=x)
  0	3/8
  1	1/4
  2	3/8

• x	P(X=x)
  0	0.2
  1	0.1
  2	0.35
  3	0.17

• x	P(X=x)
  0	9/10
  1	−3/10
  2	3/10
  3	1/10

• x	P(X=x)
  0	0.06
  1	0.01
  2	0.07
  3	0.86

• x	P(X=x)
  0	1/2
  1	1/8
  2	1/4
  3	1/8

• x	P(X=x)
  0	1/10
  1	1/10
  2	3/10
  3	1/5

1. Mendel crossed peas with round, green seeds with peas having wrinkled, yellow seeds. 100% of the F₁ plants had seeds that were round and yellow.
Predict the results of test-crossing these F₁ plants.

2.

Identical twins are produced from the same sperm and egg (which splits after the first mitotic division), whereas fraternal twins are produced from separate sperm and separate egg cells. If two parents, one with brown eyes (a dominant trait) and the other with blue eyes (the recessive trait) produce one twin boy with blue eyes, what is the probability that a fraternal twin will transmit the blue eye allele to his or her offspring? Answer as decimal

If f and g are both differentiable functions. If h = f g, then h'(2) is: ___________________

Given the function: y=sin(4x)+e^-3x and dx/dt = 3 when x=0. Then dy/dt = ________________ when x=0.

Let f(x) = ln (√x). The value of c in the interval (1,e) for which f(x) satisfies the Mean Value Theorem (i.e f'(c)= f(e)-f(1) / e-1 ) is: _________________________

Suppose f(x) is a piecewise function: f(x) = 3x^2 -11x-4, if x ≤ 4 and f(x) = kx^2-2x-1, if x >4. Then the value of k that makes f(x) continuous at x=4 is: ______________________

1. A firm must choose from six capital budgeting proposals outlined below. The firm is subject to capital rationing, has a capital budget of $1,000,000 and the firm’s cost of capital is 15 percent. Using the net present value approach to ranking projects, which projects should the firm accept?

1. 1, 3, 5, and 6
2. 1, 2, 3, 4, and 5
3. 2, 3, 4, and 5
4. 1, 3, 4, 5 and 6

hello! So I have this CIS assignment lab but when I try to make the code I don't really know where to start from. My professor is very hard and he likes to see the outcomes as they are shown in the problem. Please help me!

Write a program that can be used as a math helper for an elementary student. The program should display two random integer numbers that are to be added, such as:
    247
+ 129
-------

The program should wait for the students to enter the answer. If the answer is correct, a message of congratulations should be printed. If the answer is incorrect, a message should be printed showing the correct answer.

The program displays a menu allowing the user to select an addition, subtraction, multiplication, or division problem. The final selection on the menu should let the user quit the program. After the user has finished the math problem, the program should display the menu again. This process is repeated until the user chooses to quit the program.
Input Validation: If the user select an item not on the menu, display an error message and display the menu again.

Requirements:

Addition
Generate two random numbers in the range 0 - 9.

Subtraction

Generate two random numbers in the range 0 - 9.
num1 = rand() % 10;
num2 = rand() % 10;
Make sure num2 <= num1...
while (num2 > num1)
num2 = rand() % 10;

Multiplication

Generate two random numbers. The first in the range 0 - 10, the second in the range 0 - 9.

Division

Generate a single digit divisor
num2 = rand() % 9;
Generate a num1 that is a multiple of num2 so the division has no remainder. The num1 is never zero.
num1 = num2 * (rand() % 10 + 1);

All constant values must be declare as a constant variable. Use the constant variable in the calculation.
Validating the selection (1 to 5). If the selection is not in the range between 1 and 5, the program keeps asking the input until the correct selection is entered.
Comments in your program to explain the code logic and calculation.

Output sample:

Menu
1. Addition problem
2. Subtraction problem
3. Multiplication problem
4. Division problem
5. Quit this program

Enter your choice (1-5): 1
   1
+ 2
   ---
   4

Sorry, the correct answer is 3.
Menu
1. Addition problem
2. Subtraction problem
3. Multiplication problem
4. Division problem
5. Quit this program
Enter your choice (1-5): 7
The valid choices are 1, 2, 3, 4, and 5. Please choose: 2
    8
+ 6
    ---
    2
Congratulations! That's right.
Menu
1. Addition problem
2. Subtraction problem
3. Multiplication problem
4. Division problem
5. Quit this program
Enter your choice (1-5): 3
     9
*   4
    ---
   36

Congratulations! That's right.
Menu
1. Addition problem
2. Subtraction problem
3. Multiplication problem
4. Division problem
5. Quit this program
Enter your choice (1-5): 4
8 / 2 = 4
Congratulations! That's right.
Menu
1. Addition problem
2. Subtraction problem
3. Multiplication problem
4. Division problem
5. Quit this program
Enter your choice (1-5): 4
6 / 2 = 3
Congratulations! That's right.
Menu
1. Addition problem
2. Subtraction problem
3. Multiplication problem
4. Division problem
5. Quit this program
Enter your choice (1-5): 5

"Thank you for using math helper!"

Please create by filling in the blanks a Five Forces Assessment on Cracker Barrel Old Country Store

Rivalry                                                                                                                                     

Threat of Entry

Substitutes

Supplier Power

Buyer Power

Return on Investment: Margin vs Volume

• Example 1: 12% = 6% x 2
• Example 2: 12% = 5% x 2.4
• Example 3: 12% = 1% x 12
• Example 4: 12% = 12% x 1

Why is it important for you to know whether your firm looks like Examples 1 and 2 or like Example 3 or Example 4? What are the riskier examples? Why?

Return on Investment: Margin vs Volume

• Example 1: 12% = 6% x 2
• Example 2: 12% = 5% x 2.4
• Example 3: 12% = 1% x 12
• Example 4: 12% = 12% x 1

Why is it important for you to know whether your firm looks like Examples 1 and 2 or like Example 3 or Example 4? What are the riskier examples? Why?

In Python, write a calculator that will give the user the following menu options:

1) Add

2) Subtract

3) Multiply

4) Divide

5) Exit

Your program should continue asking until the user chooses 5. If user chooses to exit give a goodbye message. After the user selections options 1 - 4, prompt the user for two numbers. Perform the requested mathematical operation on those two numbers. Round the result to 1 decimal place.

Example 1:

Let's calculate!

1) Add

2) Subtract

3) Multiply

4) Divide

5) Exit

Please select one of options above: 4

Enter the first number: 2.81

Enter the second number: 1.111

Answer: 2.5

1) Add

2) Subtract

3) Multiply

4) Divide

5) Exit

Please select one of options above: 5

Have a good day!

Logic circuit Question

1. Describe the "4bit adder/substracter" design process that can be computed between (a) unsigned input or (b) signed input and draw a circuit diagram (using "1-bit Full Adder").

2. Check the three computations of "3+4", "7+4", and " (-4)+2" of the 4bit adder/substracter circuit designed