Jonathan's weight is the difference of Harold's weight and twice the weight of Beth. wrote an equation

Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D

34kurt

Answer:

Option D. $y=\frac{1}{3}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

case A) we have

$y=x+\frac{1}{3}$

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

$y=0+\frac{1}{3}=\frac{1}{3}$

so

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

$y=1-\frac{1}{3}x$

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

$y=1-\frac{1}{3}(0)=1$

so

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

$y=3x+\frac{1}{3}$

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

$y=3(0)+\frac{1}{3}=\frac{1}{3}$

so

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

$y=\frac{1}{3}x$

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

$y=\frac{1}{3}(0)=0$

so

The line passes through the origin

therefore

The equation D represent a proportional relationship

3 0

2 years ago

What is the mode of this set of data? 1982 1988 1989 1994 1995 2005

Cerrena [4.2K]

All of the numbers are the mode, so it is
1982, 1988, 1989, 1994, 1995, 2005

8 0

3 years ago

Read 2 more answers

What is the value of 7 to the 4th power

zhenek [66]

Answer:

The value is 2401

Step-by-step explanation:

First we need to understand what's means 7 to the 4th power, or 7^4.

7 is the power base, the power base is the number that we are going to repeat the number of times the exponent says.

4 is the exponent, which will tell us how many times to multiply 7.

So , then we would have

1) 7 x 7 x 7 x 7

2) 49 x 7 x 7

3) 343 x 7

4) finally 2401

3 0

3 years ago

When is it better to use a table When is it better to use a scatter plot

34kurt

Management information system requires tables, Tables are used only if a person is trying to analyse data and understand its business by summarizing.It is the 1st step of data analysis collecting data. Scatter plot is used when there is a question of association of two or three variable.

Step-by-step explanation:

Table is the matrix to stack up the data in there respective columns.
It is the most important setup to analysis.
It's better used collecting data for any projects or business.
Tables are even used for Bio statistics and Analytics.
Databases uses tables for one query table to another query table.
Scatter plot is dotted plot which analyse two variables.
Example if a project is eating chocolates in gram in x axis.
Gaining weight in y axis two variables are used to predict and outcome.
If a person eats this amount of chocolate it will gain this wait.
Association rules, contingency statistics and rest.

6 0

3 years ago

The probability of a customer arrival at a grocery service counter in any one second is equal to 0.3. Assume that customers arri

Svetllana [295]

Answer:

Step-by-step explanation:

Given that the probability of a customer arrival at a grocery service counter in any one second is equal to 0.3

Assume that customers arrive in a random stream, so an arrival in any one second is independent of all others.

i.e. X the no of customers arriving is binomial with p = 0.3 and q = 1-0.3 =0.7

a) the probability that the first arrival will occur during the third one-second interval.

= Prob that customer did not arrive in first 2 seconds * prob customer arrive in 3rd sec

= $0.7^2 (0.3)\\= 0.147$

b) the probability that the first arrival will not occur until at least the third one-second interval.

Prob that customer did not arrive in first two seconds *(Prob customer arrives in 3rd or 4th or 5th.....)

= $(0.7^2)[0.3+0.7*0.3+0.7^2*0.3+....)\\$

The term inside bracket is a geometric infinite progression with common ratio - 0.7 <1

Hence the series converges

Prob = $0.7^2 *\frac{0.3}{1-0.7} \\=0.49$

5 0

3 years ago

Jonathan's weight is the difference of Harold's weight and twice the weight of Beth. wrote an equation​

Jonathan's weight is the difference of Harold's weight and twice the weight of Beth. wrote an equation