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IrinaK [193]
3 years ago
6

meal consists of an appetizer, a main dish, a side dish, and a drink. There are 3 appetizer choices, 6 main dish choices, 5 side

dish choices, and 4 drink choices. Describe two ways you could find the number of possible combinations. Choose one of the methods to find the answer, and explain your choice.
Mathematics
2 answers:
mrs_skeptik [129]3 years ago
8 0
Two ways you could find the number of possible combinations is family trees (or whatever it's called) the other way is multiplying the number. 3 x 6 x 5 x 4 = 360. Hoped this helped :)
podryga [215]3 years ago
5 0

Answer:

Sample response: I could use the fundamental counting principle or a tree diagram. Using the fundamental counting principle, there are (3)(6)(5)(4), or 360, possible combinations. The fundamental counting principle is a better method to use because a tree diagram for this situation would be very large.

Step-by-step explanation: Just did this on Edge

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A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine, guanine, and thymine). How many
maria [59]

To solve that question we can think by the following way:

  • The first letter can be any of the letters (A, C, T or G). Therefore there are 4 possibilites.
  • To choose the second letter of the sequence, any letter also can be chose. So, one more time, there are 4 possibilites.

Using the fundamental principle of counting, we will find out that can be formed 4\times 4 = 16 differents sequences (for example, AA, AG, TT, TG, CT...).

Know we know that, we can generalize. If I have n elements and I must choose one of them t times to do a sequence, the total number of sequence that I can form will be n^t.

In our question, we want to know how many DNA sequence are exactly 29 letters long. As indicated above, the answer for that is 4\times 4\times 4\times ... \times 4 (29 times) = 4^{29}.

Therefore, there are 4^{29} DNA sequences with exactly 29 letters long.

I hope I've helped you. =D

Enjoy your studies. \o/

8 0
3 years ago
The diameter of a circle is 17 in. Find its circumference in terms of pie
Bingel [31]

Step-by-step explanation:

Given

Diameter of the circle (d) = 17 in

Circumference of the circle

= π *d

= 17π in

Hope it will help :)

7 0
3 years ago
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When you are identifying the coordinate of a fraction or a mixed number on a number line, how do you determine the denominator
melisa1 [442]
The denominator must be equal to all other denominations
6 0
3 years ago
Can someone please give me a good explanation of how to work this out! 15 points for a good answer.
Leya [2.2K]
  • Answer:

<em>= 26,(6)</em>

<em>≈ 26,7</em>

  • Step-by-step explanation:

<em>C = 5/9(F - 32)</em>

<em>= 5/9(80 - 32)</em>

<em>= 5/9(48)</em>

<em>= 5×48/9</em>

<em>= 240/9</em>

<em>= 26,(6)</em>

<em>≈ 26,7</em>

7 0
3 years ago
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The probability for event a is .4 the probability for event b is .2 The probability of events a and B is .1 why are the events a
Alexus [3.1K]

Answer:

becaudse theyu dont match

Step-by-step explanation:

i got it right

7 0
4 years ago
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