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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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If five notebooks cost $5.25, how much would three notebooks cost? Show your work
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Guided Practice
aliina [53]

Answer:

A.

Explanation:

4 goes up 2 to 6. 6 goes up 3 to 9. 9 goes up 4 to 13. Therefore, you can expect 13 to go up 5 to 18, and 18 to go up by 6 to 24.

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3 years ago
Which function has a maximum with the same maximum value as..?
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9514 1404 393

Answer:

  C.  -√(x+6) -2

Step-by-step explanation:

The functions x², √x, and |x| all have ranges that are non-negative values. This means the range of the given function f(x) = -|x+3|-2 will be values that are at most 2.

The ranges of the offered answer choices are ...

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  B. y ≥ -2

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7 0
3 years ago
Joe bikes at the speed of 30 km/h from his home toward his work. If Joe's wife leaves home 5 mins later by car, how fast should
Dahasolnce [82]

Answer:

45 mph

Step-by-step explanation:

This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)

Let's keep track of what he does in the time allotted.

How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.

convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour

d = r*t

r = 30 km/hour

t = 1/12 hour

d = 30 km/hr * 1/12 hour = 2.5 km

Now she's about to start. She wants to catch him in 10 minutes

d = r*t

r = x mph

t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.

How far does he go in the 10 minute time?

d = 30 * 1/6 = 5 km

What is his total distance

5 km + 2.5 km = 7.5 km

Finally how fast does she need to go to catch him

d = 7.5 km

r = ?   This is what you are trying to find

t = 1/6 of an hour

d = r*t

7.5 km = r * (1/6)hour             divide by 1/6 hour

7.5 km // 1/6 hour = r

r = 7.5 * 6 = 45 mph

6 0
3 years ago
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