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otez555 [7]
3 years ago
7

Prove that the conjecture is false by providing a counter example.

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

Answer:

Any negative number would be a counterexample.

Step-by-step explanation:

Since negative numbers get smaller as you multiply them by a larger number, this would prove this conjecture false.

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Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t
LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6)  =\dfrac{20}{36}

The probability distribution of this event is given as follows.

\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|

First, we determine the expected Value of this event.

Expected Value

=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning  =\dfrac{20}{36}

If the game is played 100 times

Number of times expected to win

=\dfrac{20}{36} \times 100\\=56$ times

Therefore, number of times expected to loose

= 100-56

=44 times

8 0
3 years ago
How to write 20/10 as a mixed number
Rasek [7]
You can't the answer is 2 because 20 goes into 10 twice
8 0
3 years ago
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A rectangular pyramid is sliced so the cross section is perpendicular to its base and passes through its vertex. What is the sha
Margaret [11]
The shape of the cross section is a triangle. Therefore, the answer is the second option: Triangle.
 A rectangular pyramid is a pyramid that has a rectangle as its base. Therefore, its base has four sides. The rectangular pyramid also has four triangles that coming together in its apex. So, if the rectangular pyramid is<span> sliced so the cross section is perpendicular to its base and passes through its vertex, the cross section obtained is a triangle.</span>
5 0
3 years ago
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These Questions is worth 20 Points. No Explanation Required.
avanturin [10]

13. five plus <em>y</em> equal to negative two. y = -7

14. eight plus <em>h</em> equal to twelve. h = 4

15. negative thirteen plus four equal <em>n</em>. n = -9

7 0
3 years ago
If side 1 is 13, side 2 is 12, and side 3 is 18, can a triangle be made?
9966 [12]

Answer:

no

Step-by-step explanation:

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3 years ago
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