6.30 dollars / 12 sodas = $0.525 cents each soda
Answer:
The equation of parabola is standard form is 
Step-by-step explanation:
Given equation of parabola is,

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.


Rewriting,

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,

Now coefficient of y is 8.

Simplifying,


Second step is to add and subtract the last term.

Rewriting,

Since 
Using above formula,

Therefore, the equation of parabola in standard form is 
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
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
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
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
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:

99% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

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.