Answer:
the value of 
such that there is no solution to the equation is 
.
Step-by-step explanation:
Let first simplify the expression presented on statement. The equation has no solution if and only if is eliminated in the process and an absurd is the result (i.e. 
).
To obtain an absurd, we need that 
. Hence, the value of such that there is no solution to the equation is:
Let prove the certainty of the result. We find that an absurd exist: ()
The number that was left out is 70.
<h3>What is the number that was left out?</h3>
Average is the sum of a set of numbers divided by the total numbers in the data set.
Average = sum of numbers / total numbers
- Sum of numbers when there are 8 numbers = 56 x 8 = 448
- Sum of numbers when there are 7 numbers = 54 x 7 = 378
- Difference = 448 - 378 = 70
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The central tendency researcher use to describe these data is "mode".
<h3>What is mode?</h3>
The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.
Calculation of mode is done by-
- The number that appears the most frequently in a piece of data is its mode.
- Put the numbers in ascending order by least to greatest, then count the occurrences of each number to quickly determine the mode.
- The most frequent number is the mode.
- Simply counting how many times each number appears in the data set can help you identify the mode, which is the number that appears the most frequently in the data set.
- The figure with the largest total is the mode.
- Example: Since it happens most frequently, the mode for the data set [5, 7, 8, 2, 1, 5, 6, 7, 5] is 5.
To know more about the mode of the data, here
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Due to the ambiguous case of the law of sines, two different triangles could be created. There may be a second angle if you are given two sides and the angle not in between. The ambiguous case may result in one solution, two solutions or no solutions therefore there can be one, two or no triangles.
