Answer:
Step-by-step explanation:
To find the diagonal, use Pythagorean theorem,
diagonal² = side² + side²
= (9√3)² + (9√3)²
= 9²(√3)² + 9²(√3)²
= 81*3 + 81*3
= 243 + 243
= 486
diagonal = √486 = 22.05 units
Using the median concept, it is found that the interquartile range of Sara's daily miles is of 21 miles.
<h3>What are the median and the quartiles of a data-set?</h3>
- 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 quartiles.
The ordered data-set is given as follows:
65, 72, 86, 88, 91, 93, 97
There are 7 elements, hence the median is the 4th element, of 88. Then:
- The first half is 65, 72, 86.
- The second half is 91, 93, 97.
Since the quartiles are the medians of each half, the have that:
- The first quartile is of 72 miles.
- The third quartile is of 93 miles.
- The interquartile range is of 93 - 72 = 21 miles.
More can be learned about the median of a data-set at brainly.com/question/3876456
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Question:
Yuet solved the equation for a.
Her steps are shown below.
1. Subtract 2b:
2. Divide by 6:
Answer:
In step 1 she needed to add 2b to both sides of the equation.
Step-by-step explanation:
Given:
The above steps shows how Yuet solved an equation
Required:
True statement about Yuet's work
The implication of the statement is to state what Yuet should have done instead of what she did.
In step 1, she subtracted 2b from both sides of the equation; this is wrong.
Instead of subtracting, she ought to add 2b to both sides of the equation.
The correct steps and result is as follows:
1. Add 2b:
2. Divide by 6:
Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.