Find the mean, median mode, and range of the given data set. 7, 6, 13, 16, 15, 9

Mathematics

1 answer:

yuradex [85]3 years ago

5 0

Answer:

Step-by-step explanation:

arranging in ascending order

6,7,9,13,15,16

mean=(6+7+9+13+15+16)/6=66/6=11

number of terms=6

median=(3rd term+4th term)/2=(9+13)/2=22/2=11

range=6,7,9,13,15,16

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What 2 numbers multiply to be -14 and add to be -3

Svetach [21]

Xy = -14
x + y = -3

$xy = -14$
$\frac{xy}{x} = \frac{-14}{x}$
$y = \frac{-14}{x}$

$x + y = -3$
$x + \frac{-14}{x} = -3$
$\frac{x^{2}}{x} + \frac{-14}{x} = -3$
$\frac{x^{2} - 14}{x} = -3$
$x^{2} - 14 = -3x$
$x^{2} + 3x - 14 = 0$
$x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}$
$x = \frac{-3 \± \sqrt{9 + 56}}{2}$
$x = \frac{-3 \± \sqrt{65}}{2}$
$x = \frac{-3 \± 8.06}{2}$
$x = -1.5 \± 4.03$
$x = -1.5 + 4.03$ $or$ $x = -1.5 - 4.03$
$x = 2.53$ $or$ $x = -5.53$

  x + y = -3
2.53 + y = -3
- 2.53 - 2.53
  y = -5.53
  (x, y) = (2.53, -5.53)

x + y = -3
  -5.53 + y = -3
+ 5.53   + 5.53
  y = 2.53
  (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.

8 0

3 years ago

What is the range for the graph below?

mario62 [17]

Answer:

All real numbers except -3

Step-by-step explanation:

Range refers to numbers on the y-axis.

Domain refers to numbers on the x-axis.

Both of those lines will never reach -3, just come extremely close to it.

6 0

3 years ago