Answer:
56 ways.
Step-by-step explanation:
This question is solved by using combinations and permutations chapters in the math book.
To put it simply, we need to find the number of 3 horse combinations we can make from 8 horses. This requires the combinations formula:
here n is the total number of objects to choose from, and r is the number of objects we require in the combination or group.
Since there are 8 horses, n= 8
Since we need to choose only 3 of them, and order does not matter, r= 3
Solving the equation above using these inputs gives us 56 unique ways we can choose the three winners.
The desired measures for the data-set is given by:
<h3>How to find the five number summary and interquartile range of the data-set?</h3>
The five number summary is composed by the measures explained below, except the IQR.
- The minimum value is the smallest value from the data-set, as the maximum value is the greatest value of the data-set.
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
- The interquartile range is the difference of the third quartile and the first quartile.
In this problem, we have that:
- The minimum value is the smallest value, of 48.
- The maximum value is the smallest value, of 80.
- The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.
- The first quartile is the median of the five elements of the first half, hence it is of 54.
- The third quartile is the median of the five elements of the second half, hence it is of 74.
- The IQR is the difference between the quartiles, hence 74 - 54 = 20.
More can be learned about five number summaries at brainly.com/question/17110151
#SPJ1
-84 - 55
= -139
Here both have same sign (-) so u add and put the common sign(-) ....
So the answer is option B ( -139)...
Hope it helps!!!
Answer:
JL = 16x-2
Step-by-step explanation:
From the diagram, we can see that;
JL = JK + KL
Thus;
JL = 9x-5 + 7x + 3
JL = 9x + 7x -5 + 3
JL = 16x -2
The correct answer is H=5
141.3/3.14/3²=5
