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Sergeu [11.5K]
3 years ago
7

Suppose there are 7 roads connecting town a to town b and 8 roads connecting town b to town c. In how many ways can a person tra

vel from a to c via b ?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
3 0

Answer:

7\cdot{8}=56

Step-by-step explanation:

In combinatorics, the rule of product states that if there are x ways of doing one thing and y ways of doing another thing, then there are x\cdot{y} ways of performing both actions.

In this case, if there are 7 ways of getting from town A to town B, and 8 ways of getting from town B to town C, then there are 7\cdot{8}=56 ways of getting from town A to town C via town B.

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Can one fifth be simplified
Svetradugi [14.3K]
No, and never, cus there ain't any numbers that are greater than 1 that can go into both of them.
<span>so basically if the numerator is 1, you can't simplify it anymore. Is Impossible.</span><span />
3 0
2 years ago
A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, eac
Airida [17]
The answer would be C) As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right.

Any questions? Ask me in the comments bellow.
Hope this helps. :)
5 0
3 years ago
Read 2 more answers
an online store sells DVDs for $10 each the shipping charge for an entire order is $5.50 Frank order d DVDs write an expression
Vikentia [17]

10d + 5.50 = x (the total cost)

5 0
3 years ago
Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?
Alja [10]

Answer:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: (a +b)^n, n > 0

Now, the BINOMIAL EXPANSION is the expansion which  describes the algebraic expansion of powers of a binomial.

Here, (a+b)^n  = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}

or, on simplification, the terms of the expansion are:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

The above statement holds for each  n > 0

Hence, the complete expansion for the given expression is given as above.

4 0
3 years ago
Read 2 more answers
How to convert 80 kilometers per hour is 60 miles per hour?
Tatiana [17]
1 km = 0.62 mi
1 mi = 1.6 km

80*0.62
  -or-
60*1.6

Hope this helps
5 0
3 years ago
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