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2 years ago

The median of the numbers is 14. What do you know about x?

Mathematics

1 answer:

Lelu [443]2 years ago

5 0

Answer:

Hope this helped

Step-by-step explanation:

#1. since the median is the middle value, and all of the given values are more or less than 13, x=13

#2. since 14 is now the middle value, x > 14

#3. since 14 is one mode, x must be equal to one of the other numbers

If this problem was difficult, you should review the topics of median and mode

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Step-by-step explanation:

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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)

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Answer:

The magnitude is $\Delta f(0,8) = 72$

The direction is $i$ i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

The function is $f(x, y) = 9sin(xy) \ \ \$

The point considered is $(0,8 )$

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

$\Delta f(x,y) = [\frac{\delta f(x,y)}{\delta x } i + \frac{\delta f(x,y)}{\delta y } j ]$

$\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]$

$\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]$

At $(0,8 )$

$\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]$

$\Delta f (0,8) = 72 i$

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3 years ago

Add the integers. 1. -2 +(-5) 2. -2 +(-2) 3. -13 +9

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-7 because when it’s +(-) it’s always the same as the outside sign
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