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slava [35]
4 years ago
9

A professor teaching a discrete math course gives a multiple-choice quiz that has ten questions, each with four possible respons

es: a, b, c,
d. what is the minimum number of students that must be in the professor's class in order to guarantee that at least three answer sheets must be identical? (assume that no answers are left blank.)3
Mathematics
2 answers:
Ilya [14]4 years ago
8 0

(3^10)+3= 59049 + 3= 59052


vovikov84 [41]4 years ago
3 0
Each question has three possible distinct answers.
Ten questions have 3^10 possible distinct answers sheets.
=>
(3^10)+3 will guarantee that at least 3 answer sheets are identical.

Numerically, 
(3^10)+3 = 59049 +3 = 59052
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R, S, Q and P are the midpoints of OC, CB, BA and OA respectively.
Stolb23 [73]

Answer:

See below.

Step-by-step explanation:

Draw segment OB.

In triangle OBC, points R and S are the midpoints of sides OC and BC, respectively. That makes RS parallel to OB.

In triangle OBA, points P and Q are the midpoints of sides OA and BA, respectively. That makes PQ parallel to OB.

Since segments RS and PQ are parallel to segment OB, then RS and PQ are parallel to each other.

3 0
3 years ago
Help ME! I’m literly struggling
miv72 [106K]

Answer:

See explanation below

Step-by-step explanation:

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BD ≅ DB                                             Reflexive Property                  

m∠A = m∠C                          Opposite ∠'s Congruent Theorem

ΔABD ≅  ΔCDB                                     AAS or SAS                                    

BC ≅  DA                                                 CPCTC              

AC - diagonal                                             Added Construction    

m∠BCA = m∠CAD                   Alternate Interior Angles Theorem

AC ≅ CA                                                  Reflexive Property    

m∠B = m∠D                              Opposite ∠'s Congruent Theorem

ΔABC ≅  ΔCDA                                            AAS or SAS                                                  

AB ≅  CD                                                           CPCTC          

6 0
3 years ago
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Answer:

Y=1.88x

Step-by-step explanation:

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(2, 3.76) (3, 5.64)

m(slope) =5.64-3.76/3-2

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5 0
3 years ago
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