He lays the shorter edfe and finds the frame

A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

5 0

3 years ago

The circumference of a circle is 60 pi cm. What is the radius of the circle?

Ivenika [448]

Answer:

D

Step-by-step explanation:

The formula for the circumference of a circle is 2 $\pi$ r. So if we know that C=60 $\pi$ then we can trace our steps back. We are given that pi remains constant so we are left with the 2r from the formula and a 60. 60/2 =30.

The radius is 30cm

8 0

3 years ago

Help please! (Will give brainliest if it's correct) 28 points

Kobotan [32]

Don't worry, I'll help you!

1. What is a function?

"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2."

2. What is the difference between a linear and non-linear function?

"The equation of a linear function has no exponents higher than 1, and the graph of a linear function is a straight line. The equation of a nonlinear function has at least one exponent higher than 1, and the graph of a nonlinear function is a curved line."

3. Constant Interval, and how does it appear on a graph

Definition:
"Determine the intervals on which a function is increasing, decreasing or constant by looking at a graph. Determine if a function is even, odd, or neither by looking at a graph. Determine if a function is even, odd, or neither given an equation."

How does it appear on a graph?

"Functions can either be constant, increasing as x increases, or decreasing as x increases."

4. Identifying the rate of change

Yes, you can:

"Consider the line y = 2x + 1, shown at the right. Notice that this slope will be the same if the points (1,3) and (2, 5) are used for the calculations. For straight lines, therate of change (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis."

5. Determining if it is a linear function or not

"A linear function is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. You will notice that this function is degree 1 meaning that the x variable has an exponent of 1."

THAT IS IT!! YAY!!! HOPE THIS HELPED ON YOUR REVIEW!!

-Jina Wang, from Middle School

3 0

3 years ago

Solve the following system of equations graphically on the set of axes below. Y=1/3x+6 y=-5/3x-6

Aleks [24]

Answer:

I can not solve it in the system of the image, but i will give you the graph so you can copy it, or at least see how it is done.

First, we have the lines:

y = (1/3)*x + 6

y = (-5/3)*x - 6

To graph these lines, you must find two points for the lines and then draw a line that connects the points.

To do it, you can evaluate each line in two different values of x, for example for the first line we can have:

y(0) = (1/3)*0 + 6 = 6 (then we have the point (0, 6))

y(3) = (1/3)*3 + 6 = 7 (then we have the point (3, 7))

And for the second line, we will have:

y(0) = (-5/3)*0 - 6 = -6 (then we have the point (0, -6))

y(3) = -(5/3)*3 - 6 = -11 (then we have the point (-3, -11))

Now with those points we can graph the lines, and the solution of the system of equation will be the point where the two lines intersect.

The graphs of the lines are shown below:

Where the grey line is the first one, and the green is the second.

In the graph, you can see that the lines intersect in the point (-6, 4)

Then the solution for the system is x = -6, and y = 4.

6 0

3 years ago

At the end of the year a library reported 32 lost or stolen and 24 book were sent out for repair. if the library originally had

Allushta [10]

1219 - 32 = 1187 - 24 = 1163 books

7 0

3 years ago

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