According to the latest real estate report from a suburban town, the mean number of home purchases during last quarter was 175 homes with a population standard deviation of 6 homes. A real estate agent believes that the recent increase of mortgage interest rates is causing a decline in home purchases. To test this, the real estate agent randomly selects 60 recent home purchases. What is the probability that the mean of this sample of home purchases is between 173 and 174 homes

Answers

Answer 1

Answer:

The probability that the mean of this sample of home purchases is between 173 and 174 homes

P(173≤X≤174) = 0.0936

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 175

Given that the standard deviation of the Population = 6

Let 'x⁻' be the mean of the random sample

Given that  x₁⁻ = 173

[tex]Z_{1} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{173-175}{\frac{6}{\sqrt{60} } } =-2.58[/tex]

Given that  x₂⁻ = 174

[tex]Z_{2} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{174-175}{\frac{6}{\sqrt{60} } } = -1.29[/tex]

Step(ii):-

The probability that the mean of this sample of home purchases is between 173 and 174 homes

P(X₁≤X≤X₂)      = P(Z₁≤Z≤Z₂)

                       = P(Z≤Z₂) - P(Z≤Z₂)        ( both values 'Z' values are negative)

                       = 0.5 -A(Z₁) - (0.5 -A(Z₂))

                      = |A(Z₂) -A(Z₁)|

P(173≤X≤174)     =   | A(2.58)-A(1.29)|

                  = 0.4951 - 0.4015       (∵ from normal table)

                = 0.0936

Final answer:-

The probability that the mean of this sample of home purchases is between 173 and 174 homes

P(173≤X≤174) = 0.0936

           


Related Questions

plz help me please please​

Answers

Answer:

5%

Step-by-step explanation:

Answer:

5% increase

Step-by-step explanation:

30/600 equals .05 or 5%

how to read a q q q q q q q q q q q q q q q q q

Answers

Your read from left to right. Read intensively if you want to practice the fundamentals and learn vocabulary. Intensive reading is focused more on individual details of what you’re reading.

hope this helped <3

Answer:

This is how to read a

Pronounce it with your mouth open as in "ah" then smile with an "ee" sound. Say "Ay" and that's how you say A or "Ah"

How to read Q? Just pronounce it as "Kyuu" or when reading it say "Ck" with a sharper sound.

Hope this helped!

Look at the number line below. Tyhe number 2 is between 1 and 4 since 1 =1 and 4=2, that means that 2 must be between what two integers?

Answers

Answer: i dont know

Step-by-step explanation:

How do you turn 5/2 into 10/4?

Answers

That’s easy. To turn 5/2 into 10/4 you multiply by 2. :D Hope this helps!

Answer:

YOU DO IT X 2

Step-by-step explanation:

How would I put this?

Answers

Answer:

10.35

Step-by-step explanation:

63,756 x 60 = 3825360

70 x 5,280 = 369600

3825360 ÷ 369600 = 10.35

10.35 because 63756 times 60= 3825360 and 5280 times 70= 369600 and 3825360 divided by 369600= 10.35

HURRY! ANSWER QUICK PLEASEEE

Answers

Answer:

See explanation below

Step-by-step explanation:

Total number = (Rate)(time)

---------------------------------------

t = cd

t = qh

t = wm

Find the distance between 2 and -2.
A) -6
B) -4
C) 0
D) 4​

Answers

Answer:

4

Step-by-step explanation:

We can do this problem by doing the absolute value of the difference between 2 and -2.

2-(-2)=4. Absolute value of 4 is 4.

Hope this helped.

~cloud

Answer:

4

Step-by-step explanation:

Is it 10? Or no pls explain

Answers

Answer:

Yes

Step-by-step explanation:

6 + 10 would equal 16

You're right, have a great day!

Answer:

yes, it is 10

Step-by-step explanation:

Subtract 16 and 6 and you get 10.

Or Subtract 6 and 6 and subtract 16 and 6.

It'll still be 10 no matter what.

state a,b, and the y-intercept then graph the function on a graphing calculator

Answers

Answer:

No x-intercepts

y-intercepts: (0,2)

Step-by-step explanation:

he is correct ^^^^^^^^^^^^

solve elimination method 3x+4y=0 and x - 2y =-5​

Answers

Answer:

x=−2 and y=3/2

Step-by-step explanation:

see picture

Bamboo plants can grow 91 centimeters per day. what is the approximate growth of the plant inches per hour?

Answers

Answer:

roughly 1.5

Step-by-step explanation:

i need more helppppppppp, i have to find the area of this circle

Answers

Answer:

You need to find the radius first,

Half of 23 is = 11.5

Formula you must remember when finding area of circle is:

πr^2

(pie (3.14 or 22/7) x radius squared)

Our pie is 3.14 because they said to use it in this particular question.

3.14 x 11.5^2 (remember we are making our radius squared) <--- Before

Let's evaluate first:

3.14 x 132.25 <--- After evaluating

So, 3.14 x 132.25 = 415.265 <----- your answer

                               _______

Answer:

U scammer scaming peoiple ans wasting their points!

Step-by-step explanation:

Tell which value of the variable is the solution of the equation 30 = 6w W = 3, 5, 6, 8??

Answers

Answer: w=5

Step-by-step explanation: Hope this help

1. In a zoo, there were 36 exhibits, but k exhibits were closed. Write the expression

for the number of exhibits that were open.


2. The zoo is open for 9 hours on weekdays. On weekends, the zoo is open for r more hours. Write the expression for the number of hours the zoo opens on weekends.


3. In the lion exhibit in the zoo, there are n lions. 3/5 of the lions are female. Write the expression for the number of female lions.

Answers

Answer:

Step-by-step explanation:

A carpet cleaner charges $50.97 to travel to the customers house and $15.11 per room cleaned. In the carpet cleaner charged $96.97 how many rooms did he clean?

Answers

3 rooms. 3.0443415 round to the nearest whole number. .

Which graph corresponds to the table above?

Answers

Answer:

Graph B. is the one

Step-by-step explanation:

Can i have brainliest

Answer:

b is the right answer

Step-by-step explanation:

(x,y)

Mark can make 9 pancakes in 15 minutes, and Charlotte can make 42 pancakes in 45 minutes. Working together, how many minutes would it take to make 138 pancakes?​

Answers

Answer:

60 mins

Step-by-step explanation:

15+45=60

The time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.

As it is given that Mark can make 9 pancakes in 15 minutes, therefore, the number of pancakes that Mark can make in one minute,

[tex]\text{Number of Pancake in one minute} = \dfrac{9}{15}[/tex]

Now, for Charlotte, it is given that he makes 42 pancakes in 45 minutes, therefore, the number of pancakes that Charlotte can make in one minute,

[tex]\text{Number of Pancake in one minute} = \dfrac{42}{45} = \dfrac{12}{15}[/tex]

Further, the total pancakes that can be made in one minute,

[tex]\text{Total Number of Pancake in one minute} = \dfrac{9}{15} +\dfrac{12}{15} = \dfrac{21}{15}[/tex]

As they both need to make 138 pancakes together, therefore, the time they need is,

[tex]\rm Time\ Needed = \dfrac{\text{Total number of pancakes}}{\text{Total number of pancakes in one minute}}[/tex]

[tex]\rm Time\ Needed = \dfrac{138}{\frac{21}{15}} = \dfrac{138\times 15}{21} = 227.142[/tex]

Hence, the time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.

Learn more about Fraction:

https://brainly.com/question/1301963

One pump can fill a tank of water in 5 hours. A second tank can fill the same tank in 4 hours. If both pumps are used together, how long will it take to fill the tank?
4/5 hours
20/9 hours
9/20 hours
5/4 hours

Answers

Answer:

4/5 hours

Step-by-step explanation:

Answer:

20/9 hours

Step-by-step explanation:

I got it right on the quiz

Mr. Bennett wants to evaluate the cost of a warehouse. He
estimated the warehouse to be 400 feet long and 150 feet
wide. The actual dimensions of the warehouse are 320 feet
long and 100 feet wide. What was the percent error in
Mr. Bennett's calculation of the area of the warehouse?
Round to the nearest hundredth.
I NEED HELP

Answers

Answer:

-46.677%

Step-by-step explanation:

The computation of the percent error is shown below:

As we know that

Area of the warehouse = length × width

Based on estimated values, the area is

= 400 × 150

= 60,000

And, based on actual values, the area is

= 320 × 100

= 32,000

Now the percent error is

= (32,000 - 60,000) ÷ 60,000 × 100

= -46.677%

Explain the error in the solution below. What
additional step needs to be completed?
log x - log5^3 = 2log5^3
log x = 3log5 ^3
log x = log5 3^3.
x = 27

Answers

Answer:

x = 1953125

Step-by-step explanation:

log x - log 5^3 = 2 log 5^3

log x - 3 log 5 = 6 log 5

log x = 9 log 5 = log 5^9

x = 5^9

 x = 1953125

In the expression 8k + 5. which best describes what 8 represents?​

Answers

Answer:

it represents a variable

Step-by-step explanation:

The number 8 is the coefficient of the variable k.

What is a coefficient?

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.

Given that the expression is 8k + 5. In the given expression the number 8 is the coefficient of the given expression.

To know more about coefficient follow

https://brainly.com/question/17469127

#SPJ6

Help please I’ll mark brainiest

Answers

Answer:

V≈7853.98

Step-by-step explanation:

V=πr2h

r=10

h=25

Solution

V=πr2h=π·102·25≈7853.98163

Consider this diagram of quadrilateral ABCD, which is not drawn to scale.
Which two statements must be true based on the information indicated by the diagram?

A. AC=~ BD

B. Triangle ABC =~ Triangle CDA

C.AB =~ DC

D. Angle ABD =~ Angle DBC


Answers

Option A,Option B and Option C is correct

What is parallelogram?

Parallelogram is 4 sided closed figure with opposites parallel and equal

Given,AB=CD

AD=BC

Since, its opposite sides are equal, it is a parallelogram.

∴ΔABD≅ΔBCD

AC= BD(By CPCTC)

B. Triangle ABC =~ Triangle CDA ( Since its a parallelogram)

C.AB =DC(Given)

D. Angle ABD =~ Angle DBC(wrong)

Therefore,Option A,Option B and Option C is correct

Learn more about quadrilaterals

https://brainly.com/question/16691874

#SPJ2

Answer:

( B )              △ABC ≅ △CDA

( C )                    AB ≅ DC

Step-by-step explanation:

Khan Academy;

ABC = CDA, but ≅ means approximately which is also true.

AB = DC, because the distance matches.

There are 96 children in a room.
40 of them are girls.
Find the fraction of the children that are boys.
Write your answer in its simplest form.
I will need it by this midnight

Answers

Answer:

7/12

Step-by-step explanation:

Basically to find the boys fraction I subtracted 40 from 96 and got 56. Your answer for the number of boys would be 56/96. I divided 4 from each and got 14/24. lastly I divide by 2 and got 7/12.

Determine the are length on a circle of radius 7 and an included angle of 4.5 radians.

Answers

Answer:

The arc length of a circle is 31.5.

Step-by-step explanation:

The arc length can be found as follows:

[tex] arc = r\theta [/tex]

Where:

arc: is the length of the arc of the circle

r: is the radius = 7

θ: is the angle = 4.5 rad        

[tex] arc = r\theta = 7*4.5 = 31.5 [/tex]

Therefore, the arc length of a circle is 31.5.

I hope it helps you!

This is the equation: f(x)=x^2

e) Is f(x) symmetric? If so, what is the equation of the line of symmetry?

f) Does f(x) have a maximum or minimum? If so, at what point?

g) What are the x-intercept(s) of f(x)?

Answers

Answer:

e) yes, symmetric around the y-axis

f) minimum at (0,0)

g) x-intercept at 0

Step-by-step explanation:

20 points for this!! thank you

Answers

Answer:

not a function becuz 2 repeats its self twice

Step-by-step explanation:

Answer:

You are welcome

Step-by-step explanation:

5k + 2 = 6
What is this

Answers

K=0.8, 5 times 0.8 equals 4. 4+2=6

In one second, approximately 150,000 gallons of water spill over the American Falls, and approximately 600,000 gallons spill over the Horseshoe Falls. About how many more gallons of water spill over the Horseshoe Falls than over the American Falls in one minute?

Answers

Answer:

O-O

Step-by-step explanation:

XD i took the last comment

Answer:

its D

Step-by-step explanation:

I need to find the diameter of a circle and the line in the middle is 3/5 cms

Answers

Answer:

1.2

Step-by-step explanation:

There are 2 lines in the middle of the circle. Im guessing by you saying "The line in the middle" You must mean the radius your trying to find the diameter so, the radius is half of the diameter so to find the diameter you do the radius x 2 in this case 3/5x2 equals 1.2 :)

I Hope this helps!!

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