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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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A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
nignag [31]

Answer:

A. 10cm

B. 8 times

Step-by-step explanation:

The question is on volume of a conical container

Volume of a cone= \pi r^{2} h/3

where r is the radius of base and h is the height of the cone

Given diameter= 12 cm, thus radius r=12/2 =6 cm

v=\pi r^2h/3 \\120\pi =\pi *6*6*h/3\\120\pi =12\pi h\\10=h

h=10 cm

B.

If height and diameter were doubled

New height = 2×10 =20 cm

New diameter = 2×12 = 24, r=12 cm

volume = v=\pi r^2h/3\\v=\pi *12*12*20/3\\v=960\pi

To find the number of times we divide new volume with the old volume

N= 960\pi /120\pi \\\\N= 8

8 0
3 years ago
Read 2 more answers
Need help on 4-7 plz
anastassius [24]
4. 54 + 63 + 54=171
5. 3+3+75=81
6. 20+68=89
7. 120+180=300 x 1.48=$444
7 0
3 years ago
Is x a solution to 80&lt;-9x+8
saveliy_v [14]

Answers: x

1. Switch sides

-9x+8>80

2. Subtract by 8 from both sides of equation.

-9x+8-8>80-8

3. Simplify.

-9x>72

4. Multiply by -1 from both sides of equation. (it's should be the reverse inequality).

(-9x)(-1)

5. Simplify.

9x

6. Then you had to divide by 9 from both sides of equation.

\frac{9x}{9}< \frac{-72}{9}

7. Simplify.

\frac{9x}{9}=x

8. Divide by the numbers.

\frac{9}{9}=1

=x

\frac{-72}{9}=-8

9. Divide by the numbers.

\frac{72}{9}=8

=-8

x

____________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

________________________________________________________

3 0
3 years ago
What value of Y will satisfy the given equation y divided by 2y — 15 = 7/5​
guapka [62]

Answer:

\huge\boxed{\sf y = \frac{41}{5}  \ OR \ y = 8\frac{1}{5} }

Step-by-step explanation:

\sf 2y-15 = \frac{7}{5} \\\\Adding \ 15 \ to \ both \ sides\\\\2y = \frac{7}{5} + 15\\\\2y = \frac{7+75}{5} \\\\2y = \frac{82}{5} \\\\Dividing \ both \ sides \ bu 2\\\\y = \frac{82}{5*2} \\\\y = \frac{41}{5}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
3 0
3 years ago
Commercial agents earn 5% of the cost of each product they sell. If an agent earns
kicyunya [14]

Based on the information the cost of the product is $40,000.

Given:

Percentage earn=5% or 0.05

Amount earned=$2,000

Let x represent the cost of the product

Hence:

Formulate

.05x = $2000  

Divide both sides by .05

x=$2,000/.05

x=$40,000

Inconclusion  the cost of the product is $40,000.

Learn more about cost here:brainly.com/question/824281

5 0
2 years ago
Read 2 more answers
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