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S_A_V
9 days ago
5

" 7. Mr Gerry’s class has 19 students Ms Vernon’s class has 21 students and Mr Singh’s class has 23 students Whose class has a c

omposite number of students

Mathematics
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Lesson 3 homework practice mean absolute deviation
AnnZ [12381]
To calculate the mean absolute deviation of
1,2,3,4,5,6,7
, we start by finding the mean;
 (1+2+3+4+5+6+7) =28/7
                               = 4
. Next, we determine the absolute differences of each data point from the mean (x-μ)
 = -3,-2,-1,0,1,2,3
. The absolute values are 3,2,1,0,1,2,3
. Now we compute the mean of these absolute differences,
3+2+1+0+1+2+3 = 12
                           = 12/7
                           = 1.7143
. Thus, the mean is 4, and the Mean absolute deviation comes out to be 1.7143
4 0
3 months ago
What is a3 in an arithmetic sequence in which a10=41 and a15=61
zzz [12365]
\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_{10}&41\\
a_{11}&41+d\\
a_{12}&(41+d)+d\\
&41+2d\\
a_{13}&(41+2d)+d\\
&41+3d\\
a_{14}&(41+3d)+d\\
&41+4d\\
a_{15}&(41+4d)+d\\
&41+5d=61
\end{array}
\\\\\\
41+5d=61\implies 5d=20\implies d=\cfrac{20}{5}\implies \boxed{d=4}\\\\
-------------------------------\\\\

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=4\\
n=10\\
a_{10}=41
\end{cases}
\\\\\\
41=a_1+(10-1)4\implies 41=a_1+36\implies \boxed{5=a_1}

therefore

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=4\\
n=3\\
a_{1}=5
\end{cases}
\\\\\\
a_3=a_1+(3-1)4\implies a_3=5+(3-1)4

and you are probably aware of the amount.
8 0
2 months ago
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Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-hal
lawyer [12517]

Answer:

B. y - 2 = 1/3(x - 3)

4 0
3 months ago
Read 2 more answers
Express 9 ten thousandths in Scientific notation
zzz [12365]
<span>9 ten thousandths equals 0.0009, which can be expressed as 9 × 10 to the power of -4</span>
5 0
4 months ago
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Bill earns $12 per hour and works at most 40 hours per week. Identify the independent and dependent quantity in the situation, a
tester [12383]
A.
I hope this information is useful to you.
4 0
3 months ago
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