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slava [35]
3 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]3 years ago
8 0

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


vovikov84 [41]3 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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-5÷(-3 1/3)= how do I solve this?​
liberstina [14]

Answer:

3/2 or 1.5

Step-by-step explanation:

Convert (-3 1/3) to -10/3

Now its -5/(-10/3)

The 3 is multiplied by the -5

(-5)(3)/(-10)

=(-15)/(-10)

The negatives cancel and it reduces to 3/2

8 0
3 years ago
Read 2 more answers
Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
svetoff [14.1K]

Answer:

The rate of change of the function at x = 0.6 is approximately -0.72

Step-by-step explanation:

The given information from the graph are;

Points (0, 0) and (1, -0.5)

We have that the graph is that of a cubic function, therefore;

f(x) = ax³ + bx² + cx + d

At f'(x) at  (0, 0) and (1, -0.5) = 0 gives;

3ax² + 2bx + c = 0

∴ c = 0

Also

ax³ + bx² + cx + d = 0

d = 0

We have

3a(1)² + 2b(1) + 0 = 0

3·a + 2·b = 0..............(1)

a(1)³ + b(1)² + c(1) + d = -0.5

a + b + 0×(1) + 0 = -0.5

a + b = -0.5..........(2)

Multiplying equation (2) by 2 and subtracting it from equation (1) gives;

2 × (a + b = -0.5) = 2·a + 2·b = -1

3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1

a = 1

From

a + b = -0.5, we have;

1 + b = -0.5 = 0

b = -0.5 - 1 = -1.5

The equation becomes

f(x) = x³ - 1.5·x²

The rate of change of the function at x = 0.6 is therefore given as follows;

f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x

At x = 0.6, we have;

f'(0.6) = 3·(0.6)² - 3·(0.6)

f'(0.6) = 3×0.6² - 3×0.6 = -0.72

The rate of change of the function at x = 0.6 ≈ -0.72

4 0
3 years ago
Find the value of -3/8 x 8/15=
g100num [7]

Answer:

-1/5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
This is due in an hour please be quick!!​
erma4kov [3.2K]

Answer:

106 m^2

Step-by-step explanation:

First multiply the shaded area:

12 * 10 = 120

Then multiply the white space:

7 * 2 = 14

Then subtract the white space from the shaded area to find the area of only the shaded area.

120 - 14 = 106

Final answer: 106 m^2

I hope this helps!

6 0
2 years ago
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(a) Michael bought 19 pounds of sugar for $8. How many dollars did he pay per pound
Dmitrij [34]

Answer:

A = 2.37500

B = 8.5

Step-by-step explanation:

Explanation A - 19 divided by 8 is 2.37500

Explanation B - 34 divided by 4 is 8.5

6 0
2 years ago
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