1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leno4ka [110]
3 years ago
11

A researcher takes a simple random sample of 71 homes in the city and finds that the mean square footage is 1468 with a standard

deviation of 213 square feet. Which interval is the 90% confidence interval for the mean square footage of all homes in that city?
Mathematics
1 answer:
MrRa [10]3 years ago
5 0
Given that a<span> researcher takes a simple random sample of 71 homes in the city and finds that the mean square footage is 1468 with a standard deviation of 213 square feet.

The </span><span>90% confidence interval for the mean square footage of all homes in that city</span> is given by

90\%\ C.1.=\bar{x}\pm1.65\left( \frac{\sigma}{\sqrt{n}} \right) \\  \\ =1468\pm1.65\left( \frac{213}{\sqrt{71}} \right)=1468\pm1.65(25.28) \\  \\ =(1468-41.7,\ 1468+41.7)=(1426.3,\ 1509.7)
You might be interested in
tamara invested 15000 in an account that pays 4% annual simple interest. Tamara will not make any additional desposits or withdr
Aloiza [94]
You multiply 15,000 by 0.04 that gives you 600 per year. You need to multiply 600 by 3 to get the answer =1,800.
7 0
3 years ago
Write and solve a story problem about gathering three kinds of vegetables. Use 10 partners.
marta [7]

Answer:

Cameron and Rebecca are organizing a lunch for their friends. Within the dishes to be served, they will prepare a tomato, carrot and broccoli salad. The number of tomatoes and carrots are 10-partners and the total amount of vegetables is 12. If we increase the number of broccoli by three and decrease the number of tomatoes by two, the amount of tomatoes and broccoli will also be 10-partners. What is the number of tomatoes, carrots and broccoli bought by Cameron and Rebecca?

<u>Cameron and Rebecca purchased 7 tomatoes, 3 carrots and 2 broccoli.</u>

Step-by-step explanation:

Number of tomatoes = x

Number of carrots = 10 - x

Number of broccoli = y

System of Equations:

x + 10 - x + y = 12

y = 12 - 10

y = 2

x - 2 + y + 3 = 10 (If we increase the number of broccoli by three and decrease the number of tomatoes by two, the amount of tomatoes and broccoli will also be 10-partners)

x + 1 + y = 10

x + y = 9

y = 9 - x

Substitution of y:

x + 10 - x + y = 12

x + 10 - x + 9 - x = 12

-x + 19 = 12

-x = 12 - 19

x = 7 ⇒ 10 - x = 3

<u>Cameron and Rebecca purchased 7 tomatoes, 3 carrots and 2 broccoli.</u>

5 0
3 years ago
The acid desert of the business on the March 31 2015 are worth rupees 500000 and its capital is rupees 350000 and its liabilitie
kifflom [539]

Assets = Liabilities + Capital

Liabilities = Assets - Capital

Liabilities = 50,000 - 35000

Liabilities = 15,000

5 0
3 years ago
Robyn, a photographer living in New York City, is framing some of the pictures she took of the city. Each picture is 5 inches by
goblinko [34]
The perimeter of each frame would be 24 inches.
24 x 5 = 120
So the total length around all of the frames would be 120 inches.
3 0
3 years ago
Suppose theta is an angle in the standard position whose terminal side is in quadrant 4 and cot theta = -6/7. find the exact val
zimovet [89]

First off, let's notice that the angle is in the IV Quadrant, where sine is negative and the cosine is positive, likewise the opposite and adjacent angles respectively.

Also let's bear in mind that the hypotenuse is never negative, since it's simply just a radius unit.

\bf cot(\theta )=\cfrac{\stackrel{adjacent}{6}}{\stackrel{opposite}{-7}}\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{6^2+(-7)^2}\implies c=\sqrt{36+49}\implies c=\sqrt{85} \\\\[-0.35em] ~\dotfill

\bf tan(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{adjacent}{6}} ~\hfill csc(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{opposite}{-7}} ~\hfill sec(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{adjacent}{6}} \\\\\\ sin(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{sin(\theta)=\cfrac{-7}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies sin(\theta)=-\cfrac{7\sqrt{85}}{85}}

\bf cos(\theta)=\cfrac{\stackrel{adjacent}{6}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{cos(\theta)=\cfrac{6}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies cos(\theta)=\cfrac{6\sqrt{85}}{85}}

6 0
3 years ago
Other questions:
  • This year, a small business has a total revenue of $63, 500. If this is 27% more than their total revenue the previous year, wha
    15·2 answers
  • Eva bought a drawing pad for $7.27. she handed the clerk on $5 bill, three $1 bills, and 2 pennies. why did Eva give the clerk t
    11·2 answers
  • The answer is 3/2x but I don’t know how to solve it... please explain
    11·1 answer
  • What is an expression that equals to 3x2/1/4
    8·1 answer
  • What describes lines that have exactly one point in common?
    14·2 answers
  • 21 − 3 ) ÷ 32 =<br> 72 × ( 6 ÷ 3 ) =<br> 17 + 15 ÷ 3 − 24 =<br> ( 8 + 56 )÷ 4 − 32 =
    14·1 answer
  • I really need helppppp
    5·1 answer
  • I need help please answer
    6·1 answer
  • evaluate the integral by reversing the order of integration. $ \displaystyle\int {0}^{{\color{red}4}} \displaystyle\int {\sqrt{x
    9·1 answer
  • How can I draw this problem?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!