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
Korolek [52]
3 years ago
6

The distribution of prices for home sales in a certain New Jersey county is skewed to the right with a mean of $290,000 and a st

andard deviation of $145,000. Suppose Mrs. McCann selects a simple random sample of 100 home sales from this (very large) population. What is the probability that the mean of the sample is greater than $325,000
Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413) = 0.008

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given the mean of the Population( )= $290,000

Standard deviation of the Population = $145,000

Given the size of the sample 'n' = 100

Given 'X⁻'  be a random variable in Normal distribution

Let   X⁻ = 325,000

Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }  = \frac{325000-290000}{\frac{145000}{\sqrt{100} } }  = 2.413

<u><em>Step(ii):</em></u>-

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413)

                           = 0.5 - A(2.413)

                           = 0.5 - 0.4920

                           = 0.008

<u><em>Final answer:-</em></u>

The probability that the mean of the sample is greater than $325,000

P( X > 3,25,000) = P( Z >2.413) = 0.008

You might be interested in
Please help I will mark you as brainliest! Work out the area of shape P!
ozzi
To find the area of a triangle, multiply the height (6) by the base (4) and divide by 2.
- 6 • 4 = 24, 24 / 2 = 12.
The area of this triangle is 12.
7 0
3 years ago
Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the cost fu
Elina [12.6K]

A viable argument showing how it is reflected by the Cost Function for Wichita’s factory is; The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

<h3>How to Interpret Cost Functions?</h3>

From the given options, the best statement is;

The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

A cost function is a formula used to predict the cost that will be experienced at a certain activity level. Thus, the cost function for the best option is;

The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

The missing options are;

___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.

___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

___ Overtime wages were required to produce at levels above 25,000 units.

Read more about Cost Functions at; brainly.com/question/14038368

#SPJ1

7 0
2 years ago
A service station will be built on the highway, and a road will connect it with cray. How long will the new road be?
maxonik [38]

Answer:

46.2 mi is the right answer.

Step-by-step explanation:

In this question we will follow the property of congruence of two triangles.

Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

As we know in the congruent triangles all sides are in the same ratio.

Now we apply the property of the theorem

\frac{Distance(Alba-Cray)}{Distance(Alba-Blare)}= \frac{Distance(Cray-Service station)}{Distance(Cray-Blare)}

\frac{120}{130}=\frac{x}{50}

x=50\frac{120}{130}

x = 46.2 mi

7 0
3 years ago
Helpppppp is required
seraphim [82]

Answer:

im pretty sure its C. X=4 but im not positive.

7 0
3 years ago
Round to the nearest ten thousandths 15.76548908 *​
Gemiola [76]
Answer: 15.7659

Explanation: the column the 4 is in is the ten thousandths column. Since the number after it is 8, which is bigger than 5, you round up to make is 15.7659
6 0
2 years ago
Other questions:
  • Given the formula C = 5(f-32)/9, find the value of C if F is 68
    11·1 answer
  • Anna types 160 words in 2 minutes. How many words does Anna type in 1 hour at this rate?
    11·2 answers
  • Please help me I’ve been stuck I’ll mark you as brainliest if you answer and give 5 stars
    5·2 answers
  • What is the relationship between fluid ounces and capacity
    6·2 answers
  • Which expression does NOT have a Greatest Common Factor?
    9·1 answer
  • After 24% of discount, the new price of a shoes is $75. What was the regular price of the shoes? Choose the closest number.
    10·2 answers
  • HELPPP PLEASE!!!!!! Which shows how to determine the volume of the pyramid?
    14·1 answer
  • During a game, Dennis lost 50 points in the first round and then lost 75 more points in the second round. Write an addition expr
    13·1 answer
  • Atul, Bryony and Charlotte share an amount of money in the ratio 4:11:10
    9·1 answer
  • Choose the model that shows the correct answer to this problem: <br> PLS ANSWER WILL GIVE BRAINIEST
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!