Which graph represents a negative linear association between x and y?

A 12-pack of soda costs $6.30 what is the cost per can

Naddika [18.5K]

6.30 dollars / 12 sodas = $0.525 cents each soda

4 0

2 years ago

The equation y^2+8y−x+18=0 represents a parabola. Drag and drop the expressions into the boxes in the equation to rewrite the eq

mario62 [17]

Answer:

The equation of parabola is standard form is $x=\left(y+4\right)^2+2$

Step-by-step explanation:

Given equation of parabola is,

$y^2+8y-x+18=0$

In order to find the equation of parabola in standard form, eliminate x from left side of equation and use completing square method to find the equation.

First step is to add x on both side of equation.

$y^2+8y-x+18+x=0+x$

$y^2+8y+18=x$

Rewriting,

$x=y^2+8y+18$

Now applying completing square method as follows.

Following are the steps for calculation of this method.

Find the last term of above equation by using below formula,

$Last\:term\:of\:square=\left(\dfrac{coefficient\:of\:y}{2}\right)^{2}$

Now coefficient of y is 8.

$\therefore Last\:term\:of\:square=\left(\dfrac{8}{2}\right)^{2}$

Simplifying,

$Last\:term\:of\:square=\left(4\right)^{2}$

$Last\:term\:of\:square=16$

Second step is to add and subtract the last term.

$x=y^2+8y+18+16-16$

Rewriting,

$x=y^2+8y+16+18-16$

Since $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$

Using above formula,

$x=\left(y+4\right)^{2}+2$

Therefore, the equation of parabola in standard form is $x=\left(y+4\right)^{2}+2$

4 0

3 years ago

Below there are graphs of some inverse proportions. What function each one represent?

AysviL [449]

Answer:

y = 15/x

Step-by-step explanation:

An inverse proportion has the equation ...

y = k(1/x) . . . . k is the constant of proportionality

__

Solving for k, we find ...

k = xy

The coordinates of the given point can be used to find k:

k = (3)(5) = 15

Then the equation of the graph is ...

y = 15/x

3 0

2 years ago

Please help right away

garik1379 [7]

Answer:

177 balls

Step-by-step explanation:

Let's start with the space we need for each sphere. If we approximate the value of the area to that of a cube that has the same dimensions of the diameter

[tex]V=H*W*D=0.8*0.8*0.8= 0.51 inches3

I can calculate the volume of the box as

[tex]V=H*W*D=3*4*7.5= 90 inches3

Finally I divide the volume of the box between the volume I need for each sphere Vt/Vs= 90/0.51 ≅ 177 balls

3 0

4 years ago

A poll found that 52% of U.S. adult Twitter users get at least some news on Twitter. The standard error for this estimate was 2.

Leya [2.2K]

Answer:

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is (0.46, 0.58). This means that we are 99% sure that the true proportion of all U.S. adult Twitter users who get some news on Twitter is between these two values.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

A poll found that 52% of U.S. adult Twitter users get at least some news on Twitter. The standard error for this estimate was 2.4%

This means that:

$\pi = 0.52, \sqrt{\frac{\pi(1-\pi)}{n}} = 0.024$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 2.575(0.024) = 0.46$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 2.575(0.024) = 0.58$

The 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter is (0.46, 0.58). This means that we are 99% sure that the true proportion of all U.S. adult Twitter users who get some news on Twitter is between these two values.

8 0

3 years ago