Answer:
M=-8
Step-by-step explanation:
21+6m=3(m−1)
Step 1: Simplify both sides of the equation.
21+6m=3(m−1)
21+6m=(3)(m)+(3)(−1)(Distribute)
21+6m=3m+−3
6m+21=3m−3
Step 2: Subtract 3m from both sides.
6m+21−3m=3m−3−3m
3m+21=−3
Step 3: Subtract 21 from both sides.
3m+21−21=−3−21
3m=−24
Step 4: Divide both sides by 3.
3m/3=-24/3
M=-8
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
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Step-by-step explanation:
Hey there!
Given eqautions are:
y = 2x + 1......... (i)
y = 4x - 3...........(ii)
<em>Putting eqaution (ii) in eqaution (i), we get;</em>
4x - 3 = 2x + 1
<em>~ Keep like terms on same side.</em>
4x - 2x = 1+3
<em>~ Perform operations. ( +, -, *, /)</em>
2x = 4
x= 4/2
Therefore, X= 2.
<em>Putting the value of X in eqaution (i)</em>
y = 2x+1
y = 2*2+1
Therefore, y= 5.
Therefore, the ordered pair is (2,5).
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
One quarter= 1/4
5 3/4= 23/4
Number of quarters in 5 3/4= 23/4 divided by 1/4
23/4 ÷ 1/4
= 23/4 × 4
=23
I hope this helps!
