From a sample with n=20, the mean number of televisions per household is 2 with a standard deviation of 1 television. using chebychev's theorem, determine at least how many of the households have between 0 and 4 televisions. at least nothing of the households have between 0 and 4 televisions.

At least 15 households have between 0 and 4 televisions.

Step-by-step explanation:

Chebychev's Theorem:

P(|X-μ|>kσ)≤

μ= mean

σ= standard deviation

k= number of typical deviations

It is also expressed as:

P(μ-kσ<X<μ+kσ)≥

Using Chebychev's Theorem, we determine:

P(0<X<4)

μ-kσ=0 ⇒ 2-k·1=0 ⇒k=2

μ+kσ=4 ⇒ 2+k·1=4 ⇒k=2

P(0<X<4)==0.75

For a sample n=20,

0.75×20=15

At least 15 households have between 0 and 4 televisions.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: