All categories

2 years ago

Find the median of 111, 336, 73, 15.5, 67, 12.4, 14.2, 17.6, 18

1 answer:

4 0

First re write the sequence from smallest to largest:

12.4 14.2 15.5 17.6 18 67 73 111 336

Median is the middle value of the serie, since the number of data pointa are 9, then the middle value is 18, that is ranked in the middle or in the 5th place

You might be interested in

Tom is 4 more than twice Andrews age. If Tom and Sara are twins, how old is Andrew?

GalinKa [24]

Tom and Sara are 12, and Andrew is 4

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E%7B2%7D-x-2%20%7D%7Bx-5%7D" id="TexFormula1" title="f(x) = \fra

Umnica [9.8K]

The given function is

$f(x)=\frac{x^2-x-2}{x-5}$

i) We factor the numerator to obtain;

$f(x)=\frac{(x-2)(x+1)}{x-5}$

The vertical asymptote is where the denominator is zero.

V.A: $x=5$

ii) The roots are the zeros of the numerator;

Roots:

$x^2-x-2=0$

$(x-2)(x+1)=0$

$x=2,x=-1$

iii) At y-intercept $x=0$ .

Put $x=0$ into the function and solve.

$f(0)=\frac{0^2-0-2}{0-5}$

$f(0)=\frac{-2}{-5}$

$f(0)=\frac{2}{5}$

Y-int: $\frac{2}{5}$

iv) Horizontal asymptote.

This is an improper rational function.

It has no horizontal asymptote.

v) Holes:

The given rational function has no common factors in both the numerator and the denominator.

Therefore the function has no holes.

6) For oblique Assymptote, we divide using lond division or synthetic division;

1 -1 -2

5| <u> 5 20</u>

1 4 18

The quotient is $x+4$

The oblique asymptote is

$y=x+4$

6 0

2 years ago

Jenny is eight years older then twice her cousin sues age. The sum of their ages is less then 32. What is the greatest age that

maw [93]

Answer:

The age of Sue could be 7 years

Step-by-step explanation:

Jenny is 8 years older than twice her cousin Sue's age.

The first equation will be :

J = 8 + 2S ---------(1)

The sum of their ages is less than 32.

The second equation will be :

J + S < 32 ----------------(2)

Now rearrange both equations :

8 + 2S + S < 32

3S < 32 - 8

3S < 24

S < 24/3

S < 8

S = 7

The age of Sue could be 7 years.

3 0

2 years ago

tom left at 1:00 p.m to walk to the pool . it took him 45 to walk there what time did get to the pool ?

lubasha [3.4K]

Answer: 1:45

Step-by-step explanation: If Tom left his house at 1:00 and it took him 45 minutes to get the pool, adding 45 minutes to 1:00 would make his arrival time 1:45. Therefore, he arrived at the pool club at 1:45. Have a great day!

8 0

3 years ago

Why is circle 1 similar to circle 2?

DanielleElmas [232]

Answer: The answer is given below.

Step-by-step explanation: The given circles are:

Circle 1: centre (2, 3) and radius 4

Circle 2: centre (2, 3) and radius 12.

The equations of circle 1 and circle 2 are respectively given as :

$(x-2)^2+(y-3)^2=4^2,\\\\(x-2)^2+(y-3)^2=12^2.$