Provide an appropriate response.List the two requirements for a probability distribution. Discuss the relationship between the sum of the probabilities in a probability distribution and the total area represented by the bars in a probability histogram.

What will be an ideal response?


The sum of the probabilities in a probability distribution must be 1 and each individual probability must be between 0 and 1, inclusive. The total area of the bars in a probability histogram is 1.

Mathematics

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Provide an appropriate answer.Fill in the blanks (four of them) with the best responses:To use DeMoivre's theorem to find the n nth roots of a complex number: 1. Express the number in ________________form. 2. Express the root as a ________________ exponent. 3. Use n =  with ? to find one root. 4. Use n =  and add _______° to ?, _________ times.

A. rectangular; decimal; 360; n - 1 B. fractional; polar; 360; n - 1 C. fractional; polar; 180; n - 1 D. polar; fractional; 360; n - 1

Mathematics

Decide which of the 5 properties of a commutative group (closure, identity, inverse, associative, commutative) hold for the given system.

A. Closure, identity, associative, and commutative only B. Closure, identity, inverse, and commutative only C. All of them D. Closure, identity, inverse, and associative only

Mathematics

Write the system of equations that corresponds to the augmented matrix.

A.
 

B.
 

C.
  

D.
 

Mathematics

Find a formula for the nth term of the arithmetic sequence shown in the graph.

A. an = n + 3 B. an = n - 4 C. an = 4 - n D. an = n + 2

Mathematics