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belka [17]
3 years ago
12

A figure is shown

Mathematics
2 answers:
topjm [15]3 years ago
8 0
Loading......................
aliina [53]3 years ago
7 0
This is the answer: X= 118
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Extension question (provide a full explanation of your method(s):
Volgvan

Answer:

Ann has little chance to win if she is presented with 4 counters.

Ann can always win from a pile of 6 counters.

(both are explained below)

Step-by-step explanation:

If Ann  is presented with 4 counters, and

1. if she takes out 3, she will lose since the opponent will  pull out 1 and the last one.

2. if she takes 2 her opponent will take out 1 and she can't pull out the last 1 since her opponents last move was to pull out 1  counter so she will lose.

3. If she takes out 1 and her opponent takes out 3 in the next move she loses.

but if instead of 3 her opponent takes out 2 and in the last move Ann takes out the last 1  then she will win.

So, If Ann is presented with 4 counters she has little chance to win provided in the move just before, her opponent didn't move 1 counter.

Now,

if there is 6 counters to Ann, and

1., if Ben's  previous move was 1 then Ann can win if she takes out 3 or 2.

If she takes out 3 Ben can take out 1 or 2 and in the last move she will take out 2 or 1 (respectively) and winning the game.

If she takes out 2 Ben can  take out 1 or 3 and in the last move Ann wins by pulling out 3 or 1 respectively.

2. if Ben's  previous move was 2 then Ann can win if she takes out 1 or 3.

If she takes out 1 Ben can take out 2 or 3 and in the last move she will take out 3 or 2(respectively) and winning the game.

If she takes out 3 Ben can  take out 1 or 2 and in the last move Ann wins by pulling out 2 or 1 respectively.

2. if Ben's  previous move was 3 then Ann can win if she takes out 1 or 2.

If she takes out 1 Ben can take out 2 or 3 and in the last move she will take out 3 or 2(respectively) and winning the game.

If she takes out 2 Ben can  take out 1 or 3 and in the last move Ann wins by pulling out 3 or 1 respectively.

 

 

7 0
4 years ago
Colin got 16 out of 80 correct in his test. What fraction of the marks did he get correct? Give your answer in its simplest form
Nata [24]

Answer: \frac{1}{5}  fraction collin correct.  

Solution:  

Collin correct 16 out of 80.  

It means total correct answer would be 16.  

Total number of question would be 80

We have to find the fraction of correct answer.  

Fraction = \frac{Correct answer}{Total answer}  

We get fraction,  

\frac{16}{80}

Now, we reduce the fraction if possible.  

We reduce fraction by divide numerator and denominator by same number .  

Here we divide numerator and denominator by 16 and we get ,  

Simplest fraction \frac{1}{5}    


4 0
3 years ago
Read 2 more answers
the probability that an international flight leaving the united states is delayed in departing (event d) is .36. the probability
melomori [17]

Answer:

                     \large\boxed{\large\boxed{0.36}}

Explanation:

This is a typical problem of conditional probability.

In this case you know:

  • the probability of the event D <em>(an international flight leaving the U.S. is delayed in departing</em>), which is 0.36 and you can write as P(D) = 0.36

  • the probability of event P <em>(an international flight leaving the U.S.  is a transpacific flight</em>), which is 0.25 and you can write as P(P) = 0.25;

  • the joint probability of event P and D (<em>international flight leaving the U.S. is a transpacific and is delayed in departing</em>), which is 0.09 and you can write as P (P ∩ D) = 0.09.

You need to determine the <em>probability that an international flight leaving the United States is delayed given that the flight is a transpacific flight</em>, i.e. the conditional probability P (D/P).

Hence, use the formula for conditional probability:

  • P (D/P) = P (D ∩ P) / P(D) = P (P ∩ D) / P (D)

  • P (D/P) = 0.09 / 0.25 = 0.36
5 0
4 years ago
What are the measures of &lt; 1 and &lt; 2. Show your work or explain your answer.
VashaNatasha [74]

Answer:

m<1 = 105°

m<2 = 75°

Step-by-step explanation:

Since lines c and d are parallel to each other, therefore:

m<2 = 75° (corresponding angles are congruent)

m<1 + m<2 = 180° (linear angle pair)

Substitute

m<1 + 75° = 180°

Subtract 75 from both sides

m<1 = 180° - 75°

m<1 = 105°

4 0
3 years ago
I need help! I'm stuck on answering these problems!!<br>​
Wewaii [24]

Number 7 on your picture is: 4 over 1 or 4/1

Number 8 on your picture is: 4 over 3 or 4/3

7 0
4 years ago
Read 2 more answers
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