1,318 prompts matching "Counting the total outcomes with combinations"
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Solve simultaneous equations with Cramer's rule (order 2) #4
Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan
Solve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
Solve a 3x3 simultaneous equation system with Cramer's rule #3
Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh
Find the inverse of a 3x3 matrix using cofactors #2
I am in SS 3. Give me a 3x3 matrix like A=[[2,0,1],[1,3,-1],[0,1,2]] and guide me through
Find the inverse of a 3x3 matrix using cofactors #3
Give me a 3x3 matrix like A=[[1,-1,2],[0,2,1],[3,0,1]] and guide me through finding its in
Explain the adjoint of a matrix
Explain what the adjoint of a matrix is and how it relates to the matrix of cofactors, usi
Verify A times A-inverse equals the identity
I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and
Solve a 3x3 system using the inverse matrix method #1
Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding
Define mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
Explain the properties of the normal distribution curve
I am in SS 3. In your own words, explain the key properties of the normal distribution cur
Use the normal distribution function to find a probability #1
I am in SS 3. Give me a normal distribution problem where mean 50 and standard deviation 5
Use the normal distribution function to find a probability #2
I am in SS 3. Give me a normal distribution problem where mean 100 and standard deviation
Use the normal distribution function to find a probability #3
I am in SS 3. Give me a normal distribution problem where mean 60 and standard deviation 8
Use the normal distribution function to find a probability #4
I am in SS 3. Give me a normal distribution problem where mean 70 and standard deviation 1
Explain the meaning of a probability distribution
I am in SS 3. Explain what a probability distribution is and how it differs from a single
Explain the conditions for equilibrium of a rigid body
I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu
Explain friction and the coefficient of friction
I am in SS 3. Explain what friction force is, how the coefficient of friction relates to t
Explain the difference between scalar and vector product
I am in SS 3. Explain clearly the difference between the dot (scalar) product and the cros
Modulus, argument and the Argand diagram #1
I am in SS 3. Give me a complex number problem where I must, for z = 3 + 4i, plot it on an
Modulus, argument and the Argand diagram #2
I am in SS 3. Give me a complex number problem where I must, for z = -2 + 2i, find the mod