Determine the median value. 4.5, 7.5, 9, 9, 9.2, 9.3, 10, 10, 10.5, 13

Mathematics

2 answers:

melomori [17]3 years ago

5 0

Answer:9.25

Step-by-step explanation:

Keeps crossing out numbers on each side until you reach the middle. then you will reach9.2 and 9.3 you will add those and divide my 2 and the answer would be 9.25

Brrunno [24]3 years ago

3 0

9.25, right? Because there's 10 numbers, the two middle numbers are 9.3/9.2. so when you add them up you get 18.5, then you divide it by 2 because there were only 2 numbers added, and I got 9.25

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Answer:

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Step-by-step explanation:

Let the value is x, y, and z. so,

The value of x amount will be borrowed at 12% $= \frac{12}{100} \times x= 0.12x$

The value of y amount will be borrowed at 14% $= \frac{14}{100} \times x= 0.14x$

The value of z amount will be borrowed at 16% $= \frac{16}{100} \times x= 0.16x$

If the total amount= 21000

$\to x+y+z=21000$

If the total interest= 3000

calculating the total interest:

$\to 0.12x +0.14y +0.16z = 3000$

The overall amount borrowing at 12% and 14% was half as much as the amount borrowed at 16%.

$\to x + y = 2z\\\\\to x + y - 2z = 0$

by calculating the value we have 3 equations that are:

$\to x+y+z=21000\\\\\to 0.12.x +0.14.y +0.16z = 3000\\\\\to x + y - 2z= 0\\$

calculate the matrix by above-given value:

$\left[\begin{array}{ccc}1&1&1\\0.12&0.14&0.16\\1&1&-2\end{array}\right]$ $\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}21000&3000&0\\ \end{array}\right]$