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GrogVix [38]
3 years ago
8

The total fare for two adults and three children on an excursion boat is $14. If each childs fare is one half of each adults far

e, what is the adult fare ...?
Mathematics
2 answers:
zvonat [6]3 years ago
7 0
Make each adult x and each kid 5x
 and
set equal to 14.
 so it would be
 3.5x=14.
 14/3.5 = 4
so
x  = 4.
 adult tickets are 4$ while kids are 2$
Allushta [10]3 years ago
5 0

Answer:

$4

Step-by-step explanation:

In order to solve this problem you just have to create an equation, and it´s very simple, each kid ticket will be represented by the letter "x", and as we know a kid´s ticket is worth half what is worth an adult ticket, so the adult ticket = 2 kids tickets=2x

So we know that there are 2 adults and three kids, and the totla was $14, we create our equation:

2 adults+3kids=14\\2(2x)+3x=14\\4x+3x=14\\7x=14\\x=\frac{14}{7}\\ x=2

Now we know that the kids ticket is $2, so the adult ticket would be twice that, $4 is the price of the adult ticket.

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Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,
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According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

Step-by-step explanation:

We are given the following data in the question:

10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{225}{15} = 15

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S.D = \sqrt{\dfrac{128}{14}} = 3.02

Empirical rule:

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  • About 68% of data lies within one standard deviation of the mean.
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  • Arround 99.7% of data lies within three standard deviation of mean.

Thus, by empirical rule,

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According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

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Step-by-step explanation:

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