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Lelu [443]
2 years ago
12

If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2

(x - pi divided by three), what should be used for Xmin and Xmax? Plz explain why because this question is seriously confising me.

Mathematics
1 answer:
erica [24]2 years ago
8 0
Hello,

y=5+3*cos (2(x-π/3))

The function is periodic with periode=2π.


-1<=cos (2(x-π/3))<=1
==>-1*3<=3*cos (2(x-π/3))<=3*1
==>5-3<=5+3cos(2(x-π/3))<=5+3
==>2<= y<=8


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Alice and Bob are playing a game. Alice starts first. On Alice's turn, she flips a coin. If she gets a heads, she wins. If not,
trapecia [35]

Answer:

The probability that Alice wins the game=\frac{1}{2}

Step-by-step explanation:

We are given that Alice and Bob are playing a game .

We have to find the probability that Alice wins the game .

If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.

Total results in a coin=Head, tail=2

Number of head in a coin=1

Number of tail in a coin= 1

Probability is defined as the possibility of an event that occurred

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The probability that Alice wins the game=\frac{Number\;of\;favourable\;cases}{Total\;number\;of\;cases}

The probability that Alice wins the game=\frac{number \;of \;heads}{Total\; results}

The probability that Alice wins the game=\frac{1}{2}

8 0
2 years ago
Hey I need some help!! Does anyone mind giving me the answers and explain how? I really don’t understand. PS the question is in
Ksenya-84 [330]

Answer:

2x2x2x5

Step-by-step explanation:

2x2x2x5 equals 40

6 0
1 year ago
Kamila has two number cubes each labeled 1 to 6. She is going to conduct an experiment by tossing both cubes a total of 150 time
jasenka [17]
A) There are 36 possible outcomes.
b) The probability of a sum of 6 is 5/36.
c) She should roll a sum of 7 45 times.
d) She should roll a sum of 10 45 times.

Explanation
a) There are 6 outcomes for the first die and 6 outcomes for the second one.  By the fundamental counting principle, there are 6*6 = 36 outcomes for both dice together.

b) The ways to get a sum of 6 are:
1&5; 2&4; 3&3; 4&2; 5&1.  There are 5 possibilities out of a total of 36, or 5/36.

c) The ways to get a sum of 7 are:
1&6; 2&5; 3&4; 4&3; 5&2; 6&1.  There are 6 out of 36, or 6/36=1/6.  Since she is rolling the dice 150 times, she should get a sum of 6
1/6(150) = 150/6 = 45 times.

d) The ways to get a sum of 10 or more are:
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There are 6 ways out of 36, or 6/36 = 1/6.  Since she is rolling the dice 150 times, she should get a sum of 10 or more
1/6(150) = 150/6 = 45 times.
7 0
2 years ago
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Caleb has 1/3 of a watermelon. He cuts it into 4 equal pieces. What fraction of the watermelon is each piece
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Answer:

1/12 of the watermelon in each piece

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The final answer is 1/12.



<em>I hope this helped!</em>

5 0
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