The crisis in the housing market during the most recent economic recession led to lower vacancy rates in the apartment industry. This, in turn, has resulted in an increase in monthly rents for apartments. Suppose a random sample of 40 apartments had an average rent of $1,090. Assume the standard deviation for the population of apartment rents is $260. Determine the 98% confidence interval for this sample.

Answers

Answer 1

Answer:

(994.37, 1185.62)

Step-by-step explanation:

Given that :

Mean (m) = 1090

Standard deviation (s) = 260

Samole size (n) = 40

α = 98%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 98% = 2.326

Error = 2.326 * (260 / sqrt(40))

Error = 95.620951

Hence,

Confidence interval :

Lower boundary = 1090 - 95.620951 = 994.379049

Upper boundary = 1090 + 95.620951 = 1185.620951

(994.37, 1185.62)


Related Questions

what is -5x + 3y= 12 in slope intercept form?

Answers

Answer:

y = (5/3)x + 4

Step-by-step explanation:

-5x + 3y = 12 (What you start with)

3y = 12 + 5x (Adding 5x to both sides)

y = (5/3)x + 4 (Dividing the equation by 3)

10. What is the area of a triangle with base 4cm and
height 8cm?
A. 6cm2 B. 9cm2 C. 14cm D. 16 cm

Answers

Step-by-step explanation:

Area of triangle = 0.5(4)(8) = 16cm² (D).

Solve. Please show your work

Answers

Answer:

128

Step-by-step explanation:

8^2√2^2

64√2^2              rewrite √2^2 as 2

64*2

=128

x^3*x^?=x^17 I don't know what the is.

Answers

Answer:

14

Step-by-step explanation:

x^3*x^?=x^17x^(3 + ?) = x^173 + ? = 17? = 14

Answer:

First write the given equation

[tex]{:}\xrightarrow{ }\tt x^3×x^?=x^17 [/tex]

Simplify

[tex]{:}\longrightarrow\tt x^{(3+?)}=x^17[/tex]

[tex]{:}\longrightarrow\tt 3+?=17 [/tex]

Interchange sides

[tex]{:}\longrightarrow\tt ?=17-3 [/tex]

[tex]{:}\longrightarrow\tt ?=14 [/tex]

Explore more:-Formulas of exponents:-

[tex]\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}[/tex]

Jamie scored an 85% on a test that had 20 questions on it. How many question did she get right? How many questions did she get wrong? PLS ANSWER FASTTT!! :)

Answers

Answer:i think it is like 17

Step-by-step explanation:

What is the volume of a cylinder with a radius of 2 cm and a height of 8 cm?​

Answers

Answer:

V = 100.531 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder: V = πr²h

Step-by-step explanation:

Step 1: Define Variables

r = 2 cm

h = 8 cm

Step 2: Find Volume

Substitute [Volume]:                    V = π(2 cm)²(8 cm)Exponents:                                   V = π(4 cm²)(8 cm)Multiply:                                        V = π(32 cm³)Multiply:                                        V = 100.531 cm³

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer: so 5 out of 5 is like if it said 100 out of 100

soooo the answer is 100% ;)

Step-by-step explanation:

In a Create of 30 eggs
only 60 % is good how many
are bad?

Answers

Answer:

In my point of view 40% are bad

what is parallel to y=3x+1
you can only use the numbers 3,-2,1,4,-1,0,2,5 and put it in y= x +

Answers

Answer:

y=3x+1

Step-by-step explanation:

A parallel line has the same slope as the other line.

y=mx+b, m is the slope

Thus in y=3x+1, m =3

y = 3x + b

plug in points (1, 4) to determine b

4 = 3(1) + b

4 = 3 + b

subtract 3 on both sides

4 - 3 = b

b = 1

y = 3x + 1

please give thanks by clicking heart button :)

Wall-mart had a laptop for $500. Best Buy was selling the same laptop for 15% more. What is price of the laptop at Best Buy?

Answers

Answer:

575

Step-by-step explanation:

15% of 500 = 75

500 + 75 = 575

Answer:

$425

Step-by-step explanation:

500*0.15=75

500-75=524

Demarcus' workout playlist consists of classic rock songs and rap songs.
His playlist contains a total of 47 songs,
Which of the following statements represent the number of classic rock
and rap songs on Demarcus' playlist? Select all that apply.
x+y = 47
24 and 24
43 and 4
x = y + 47
y=-x+ 47
13 and 34

Answers

It is (13 + 34), (43 + 4). Hope this helps!!! It couldn’t be the other ones because they don’t include all of the numerals.

Please answer I will give branliest

Answers

Answer:

Step-by-step explanation:

assuming that weekends are only sat and sunday

24 students

or

if were assuming that friday is included

30 students

hope this helps <3

Answer:

24 students prefer weekend days C:

Step-by-step explanation:

Need help with these following questions

Answers

Answer:

there are 13 of them brother from another mother

Find x =
Please help I’ll give brainiest answer

Answers

Answer:

The Answer is 6

The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to travel one full rotation around the sun? Show your work. Make sure to include units in your answer.​

Answers

Using proportions, it is found that it takes 525,960 minutes for the earth to travel one full rotation around the sun.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

One day has 24 hours of 60 minutes, hence the number of minutes in a single day is given by:

Md = 24 x 60 = 1440 minutes.

Hence, the number of minutes in 365.25 days is given by:

My = 1440 x 365.25 = 525,960 minutes

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

If three empanadas and two drinks cost $9, and four empanadas and one drink costs $9.50, how much does a drink cost?

Answers

Answer:

A drink cost 1.50

Reasoning:

3×2=6

6+1.50=7.50

7.50+1.50=9

4×2=8

8+1.50=9.50

The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:

a. Fails in less than 10,000 hours.
b. Lasts more than 120,000 hours.
c. Fails between 60,000 and 100,000 hours of use.
d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

Answers

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

Using the exponential distribution, it is found that:

a) There is a 0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

b) There is a 0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

c) There is a 0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

d) The 90th percentile is of 230,259 hours.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this problem:

Mean of 100,000 hours, hence, they decay parameter is [tex]\mu = \frac{1}{100000}[/tex]

Item a:

[tex]P(X \leq 10000) = 1 - e^{-\frac{10000}{100000}} = 1 - e^{-0.1} = 0.0952[/tex]

0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

Item b:

[tex]P(X > 120000) = e^{-\frac{120000}{100000}} = e^{-1.2} = 0.3012[/tex]

0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

Item c:

[tex]P(X \leq 60000) = 1 - e^{-\frac{60000}{100000}} = 1 - e^{-0.6} = 0.4512[/tex]

[tex]P(X \leq 100000) = 1 - e^{-\frac{100000}{100000}} = 1 - e^{-0.6} = 0.6321[/tex]

[tex]P(60000 \leq X \leq 100000) = P(X \leq 100000) - P(X \leq 60000) = 0.6321 - 0.4512 = 0.1809[/tex]

0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

Item d:

This is x for which:

[tex]P(X > x) = 0.1[/tex]

Hence:

[tex]e^{-\mu x} = 0.1[/tex]

[tex]e^{-0.00001 x} = 0.1[/tex]

[tex]\ln{e^{-0.00001 x}} = \ln{0.1}[/tex]

[tex]-0.00001 x = \ln{0.1}[/tex]

[tex]x = -\frac{\ln{0.1}}{0.00001}[/tex]

[tex]x = 230259[/tex]

The 90th percentile is of 230,259 hours.

A similar problem is given at https://brainly.com/question/25645425

Solve the linear system using a table.
7a -b=-1
-4a - 2b = -2


A. (0,0)
B. (0,1)
C. (1,0)
D. (1,1)

Answers

The correct answer is:

B. (0,1)

please i really really need help BRAIBLIST ASAP

Answers

After 10 years Lori will have 27 dollars more than Darryl (I took the test)

HELP PLEASE EXPERTS! the question is in the picture

Answers

Answer:

B) 6

Step-by-step explanation:÷

The area of a triangle = 1/2 b* h or [tex]\frac{b*h}{2}[/tex]

Line AB = 4

Line AC = 3

Line BC = x

b = 3

since it is at a right angle,

h = 4

[tex]\frac{3*4}{2}[/tex] = 6

A = 6

Area of a triangle = b•h•1/2

base = 3
height = 4

3•4•1/2 = 6

A culture started with 6,000 bacteria. After hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number​

Answers

Answer:

that would be c i had that ques 5 mns ago

Step-by-step explanation:

Answer:

It’s 3600

Step-by-step explanation:

-3/7 × - 1 2/3
what is the answer ​

Answers

Answer:

[tex]\boxed{\frac{5}{7} }[/tex]

Step-by-step explanation:

[tex]-\frac{3}{7} \times (- 1 \frac{2}{3} )[/tex]

[tex]= -\frac{3}{7} \times (- \frac{5}{3} )[/tex]

[tex]= \frac{5}{7}[/tex]

Answer:

5/7

Step-by-step explanation:

do you get the answer?

Eber ran 3 miles. He stopped to take a break every {3}{4) mile.How many times did Eber stop, including his final stop at the end of the run?

Answers

Answer:

4 times

Step-by-step explanation:

The total model is 3 miles, divided by 3/4 equals the multiplication problem 3/1 times 3/4 but use the reciprocal of 3/4 which is 4/3 so it would be 3/1 times 4/3 which is 12/3 which is equivalent to 4. :)

There are 4 times did Eber stop.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Eber ran 3 miles.

And, He stopped to take a break every 3/4 mile.

Now,

Let number of times stop = x

So, We can formulate;

⇒ 3/4x = 3

⇒ x = 3 × 4 / 3

⇒ x = 12/3

⇒ x = 4

Thus, There are 4 times did Eber stop.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

PLEASE HELP!
Given that m∠NMP=(5y+11)∘ and m∠OMP=(8y−13)∘, identify m∠NMO.

Answers

Answer: 102

Step by Step Explanation:

5y+11=8y-13

-8      -8y

-3y+11=-13

     -11  -11

    3y = -24 = 8           y=8

    3y     3y

5(8)+11=51

Multiple 51 times 2 and you're answer will be the following.

The zoo needs to hire b staff members for each exhibit. Write the expression for
the number of staff members they need to hire for 20 exhibits.

Answers

Answer:

feed them to the lions

Step-by-step explanation:

rawr

HELP QUICK! 20 POINTS PLEASE GET IT CORRECT

Answers


We can conclude that Collin will have £3691.41 in his account after 10 years.

Please Help!!! :( I don't understand

Answers

Answer:

Step-by-step explanation:

You would do

4×18.5 =74

2×6.75 =13.5

14×7/8 =12.25

Add all that up and it equals 99.75lbs/pounds

Indicate the answer choice that best completes the statement or answers the question.
The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the
number of minutes used? Explain.
Number of Minutes 40 |80 120 160 1200
Cost (S)
14.00 8.00 12.00 16.00 120.00

Answers

Answer: hold on you didn’t give enough info for this to make sense

Step-by-step explanation:

A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He used fertilizers for the first group of land. He did not use fertilizers for the second group of land. At the end of the season, he measured the yield of the crops in these 2 groups. Is the study observational or experimental

Answers

Answer:

Observational would mean that he (farmer) has no direct impact or change on the statistical study.Experiment would mean that he imposed a certain treatment up a group in this case it would be the land.Hence we can determine that the the study was an experimental one.

The number of visits to public libraries increased from 1.3 billion in 1994 to 1.6 billion in 1999. Find the average rate of change in the number of public library visits from 1994 to 1999.

Answers

Answer: 60 million per year

Step-by-step explanation:

The average rate of change in the number of public library visits from 1994 to 1999 will be calculated thus:

Average rate of change = change in number of vists in billions / number of years passed

= (1.6 billion - 1.3 billion) / 1999 - 1994

= 0.3 billion/5

= 60,000,000

= 60 million per year

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