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Ira Lisetskai [31]
3 years ago
7

A store owner is interested in opening a second shop. She wants to estimate the true average daily revenue of her current shop t

o decide whether expanding her business is a good idea. The store owner takes a random sample of 60 days over a six-month period and finds that the mean revenue of those days is 3,472.00 dollars with variance 315,900.20 square dollars. Calculate a 95% confidence interval to estimate the true average daily revenue.
Mathematics
1 answer:
Alex3 years ago
6 0
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it. 
The confidence interval can be calculated using following formula:
\overline{x} \pm \frac{zs}{\sqrt n}
Where \overline{x} is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:
s=\sqrt{315900.20}=\$562.05
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
3472.00\pm \frac{1.960\cdot 562.05}{\sqrt{60}}\\ \$3472.00\pm142.22


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The equation y=2x+3 represents the cost y (in dollars) of mailing a package that weighs x pounds. a. Graph the equation. b. Usin
FinnZ [79.3K]

Answer:

B. Slightly more than $5

Step-by-step explanation:

y = 2x + 3

Firstly we check variables to make sure we understand.

y = dollars

x = pounds

On the scale, it says 1.126 lb. Which means 1.126 pounds.

And so, x = 1.126

y = 2x + 3

y = 2(1.126) + 3

y = 2.252 + 3

y = 2.252

The graph for part a and park b. It is underneath. I wrote 1.1, because it is rounded down from 1.126 lb, which is part b. The one with one line and no dots is part a.

4 0
2 years ago
Question: Find the vertex.<br><br> Equation: y = -x^2-6x+15<br><br> ([Put Number],[Put Number])
Artyom0805 [142]

Answer:

y = (x - 3)² + 6

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = x² - 6x + 15

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 15

y = (x - 3)² - 9 + 15

y = (x - 3)² + 6 ← in vertex form

6 0
2 years ago
Shelia is making a cake. She
vesna_86 [32]

She need 1/12 cup of oil. A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

<h3>What is meant by fraction?</h3>
  • A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.
  • fraction, A number expressed as a quotient in arithmetic, in which a numerator is divided by a denominator. Both are integers in a simple fraction.
  • A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator. A fraction is a portion of a whole number and a method of dividing a number into equal parts.

<h3>How to find how much cup she want?</h3>

  • She needs 1/3 cup of oil
  • She have 1/4 cup of oil

To find how much need to obtain 1/3 of cup

we need to subtract what we have from what we need.

so , we have 1/4 and need 1/3

 = 1/3 - 1/4

 = \frac{1 * 4}{3 * 4} - \frac{1 * 3}{4 * 3}

 = 1/12

she need 1/12 cup of oil more to make cake.

To Learn more about fraction refer :

brainly.com/question/1622425

#SPJ9

6 0
1 year ago
Explain what defines direct variation. Then, check which of the following tables include directly proportional quantities x and
just olya [345]
Direct variation in mathematics is when two numbers are written in an equation where one of the numbers multiplied by a constant term to equal the other. 

In the table in the equation, we see direct variation.

<u>X</u>    <u>Y
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<u></u>1     7
2     14
3     21
4     28

We can find the constant of the variation by dividing y by x. This constant should remain the same for all terms of x in the table with their corresponding y values.

y/x
7/1=7
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21/3=7
28/4=7

As we can see, the values in the table all share a direct variation between x and y with the value 7.

This can be expressed in an equation: y = 7x.

6 0
3 years ago
Correct the number of significant figures in calculations which are performed incorrectly. express your answers numerically. if
spin [16.1K]

Significant Figures in Calculations:

In Order to Correct the Number of Significant Figures in a Calculation:

1.).  First, you would,  Add all the digits:  

(Example: 1405.2   +    9.77    +     4.32     =      1419.29)

2.).  Then, You would Round the final value to the Least Number of Significant Figures.  

(In Example, it would look like this:   1420).

Therefore, The least number of significant figures  in the Example, is 3.

(However, In the Example, the number 1420,)     The "0" isn't a significant figure.


Hope that helps!!!!                                  : )    


You didn't write the significant numbers in, So, I just gave you an Example, of how would actually solve Significant Figures Calculation!

6 0
3 years ago
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