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Ivenika [448]
3 years ago
5

Mr. Jacob is 55 years old and tony is 7 years old. in how many years will mr. Jacobs be 4 times as old as Tony

Mathematics
2 answers:
torisob [31]3 years ago
7 0
9 more years
Tony will be 16 
Mr Jacob will be 64
16x4=64 
Nady [450]3 years ago
3 0
x-years\\
\\
55+x=4(7+x)\\
55+x=28+4x\\
3x=27\\
x=9\\
\\
Answer:Mr.\ Jacobs\ will\ 64\ years.
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\\ \rm\Rrightarrow 5-3(2a+1)=-4+10

\\ \rm\Rrightarrow 5-6a-3=6

\\ \rm\Rrightarrow -6a+2=6

\\ \rm\Rrightarrow -6a=6-2

\\ \rm\Rrightarrow -6a=4

\\ \rm\Rrightarrow a=\dfrac{4}{-6}

\\ \rm\Rrightarrow a=\dfrac{2}{-3}

Now

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\\ \rm\Rrightarrow \dfrac{2-6}{-3}

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Find the mean median mode and range for the following data 77 60 59 70 89 95
Advocard [28]

Answer:

Mean = 75

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Mode = 95

Range = 36

Step-by-step explanation:

Given:

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Sort:

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To find:

  • Mean
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Mean:

\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}

Sum of all data divides by amount.

\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}

Therefore, mean = 75

Median:

If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:

\displaystyle \large{\dfrac{x_1+x_2}{2}}

From 59,60,70,77,89,95, since 70 and 77 are in middle:

\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}

Therefore, median = 73.5

Mode:

The highest value or/and the highest amount of data. Mode can have more than one.

From sorted data, there are no repetitive data nor same data. Consider the highest value:

Therefore, mode = 95

Range:

\displaystyle \large{x_{max}-x_{min}} or highest value - lowest value

Thus:

\displaystyle \large{95-59 = 36}

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