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
Marina86 [1]
3 years ago
7

Suppose the data have a bell-shaped distribution with a mean of 25 and a standard deviation of 5. Use the empirical rule to dete

rmine the percentage of data within each of the following ranges.
(a) 15 to 35 approximately 68% approximately 95% almost all
(b) 10 to 40 approximately 68% approximately 95% almost all
(c) 20 to 30 approximately 68% approximately 95% almost all

Business
1 answer:
Zielflug [23.3K]3 years ago
3 0

Answer:

a) 15 to 35 approximately 95%

(b) 10 to 40 approximately almost all

(c) 20 to 30 approximately 68%

Explanation:

The data have a bell-shaped distribution which means the data is equally distributed on both sides of the mean.

We have the mean at 25 and a standard deviation of 5 which means that the interval is for each of the values of 5 .

The mean would be u and

The first value would be u ±σ = 25 ± 5= 20 and 30 (68 % )

The second value will be u ± 2σ= 25± 10 = 15 and 35 (95%)

The third value will be u ± 3σ= 25 ± 15 = 10 and 40 (99.7 % almost all)

In the figure below the light blue region gives u ±σ on both sides of the mean

, dark blue gives u ± 2σ values on both sides of the mean and grey gives

u ± 3 σ values on both sides of the mean.

It is obvious that 68 % of the data is contained in the u ±σ light blue region, 95 % of the data in the  u ± 2σ dark blue including light blue and 99.7 % in the u ± 3σ all colored regions.

You might be interested in
An undergraduate business student has purchased a laptop computer for use during exams. This laptop is perfectly reliable except
g100num [7]

Answer:

probability of a reliable performance = 19/20

Explanation:

If a new battery has just been installed, then the chances of failure are only contributed by the faulty microchip, which has a failure rate of 1 in 20 hours.

Therefore in 1 hour, the probability that the laptop will perform reliably is calculated as follows:

Chances of failure = 1 in 20

20 hours = 1 chance of failure

∴ 1 hour = 1/20 chance of failure

1/20 = 0.05 chance of failure

Now, let us express 0.05 as fraction:

0.05 = 5/100

Therefore in 1 hour, there is a 5 in 100 chances of failure.

But we are asked to find the probability that the laptop will perform reliably. This is simply done by finding the difference between the total chances of occurrence (100)  and the chances of failure (5)

∴ Probability of reliable performance in one hour = (100 - 5) / 100

= 95/100

95/100 = 19/20

8 0
3 years ago
Beige Corporation, a C corporation, purchases a warehouse on August 1, 2007, for $1 million. Straight-line depreciation is taken
olchik [2.2K]

Answer and Explanation:

The computation of the amount and character of the gain recorded is shown below:

1. Recognized gain would be

= Sales - the cost of the property - recovery cost

= $1,200,000 - $1,000,000 - $411,750

= $611,750

2. Now as per the section 1245 the potential recapture is $411,750

3. Now extra section 291 ordinary income in the case when it is a corporation

= $411,750 ×20%

= $82,350

4. And finally $82,350 would be considered as an ordinary income under section 291 while the remaining balance i.e.

= $611,750 - $82,350

= $529,400

This amount would be considered as a gain under section 1231

5 0
3 years ago
Explain demand of money​
krek1111 [17]

Answer:

In monetary economics, the demand for money is the desired holding of financial assets in the form of money: that is, cash or bank deposits rather than investments. It can refer to the demand for money narrowly defined as M1 (directly spendable holdings), or for money in the broader sense of M2 or M3.

Explanation:

7 0
3 years ago
What is economics, and how are the three sectors of the economy linked?
marysya [2.9K]

Answer:

This is a part of my Economic Resources doc and I'm not sure about the second part of the question but I hope it helps!

Explanation:

Economic Resources

For a firm (producer) to make any product, it needs to use ECONOMIC RESOURCES. These are INPUTS to be used together or combined efficiently to produce goods/services.

What you need to know:

What is a PRODUCER?

a person, franchise, brand or country etc. that makes, grows, or produces goods and services for sale to customers or consumers.

What is a RESOURCE?

a stock or supply of goods, materials, and products that can be bought  by a person or organization in order to function effectively.

What is an ECONOMIC resource?

Natural supplies that can be used to make a product. It is important for the success of the company.

Classification of Economic Resources:

Natural resources (LAND)

Natural resources are ones who are not man made and are there naturally. This could be land, light, water, electricity, etc.

Human resources (LABOUR)

Capital resources (CAPITAL)

Entrepreneurship (ENTERPRISE)

3 0
3 years ago
A company creates 40 units of a product using 30 hours of labor and 15 sheets of paper. Labor costs $10/ hour and paper costs $5
Scorpion4ik [409]

Answer:

0.038 units per $ of factor costs

Explanation:

Labor cost for 40 units  = 30 hours × $10/hour = $300

Cost of paper for 40 units = 15 sheets × $50/sheet = $750

Output = 40 units

Multi factor productivity is expressed as;

Multi factor productivity = Output/Total Factor cost

Multi factor productivity = 40 units/$1050 = 0.038 units per $ of factor cost

Multi factor productivity is a measure that depicts units produced for every $ of factor products used. In the above case 2 factors i.e labor and paper are used.

8 0
3 years ago
Other questions:
  • Dyan, the owner of expert restoration services, inc., adheres to the "principle of rights" theory. under this theory, a key fact
    6·1 answer
  • A country is attempting to measure its growth rate in technology. This is: possible to estimate using the growth accounting equa
    5·1 answer
  • The possibility that management of the corporation may not be pursuing the same goals as the same goals as those of stockholders
    5·1 answer
  • Home expenses can be divided into which two categories
    6·2 answers
  • GIVING AWAY BRAINLIST
    6·2 answers
  • On December 31, 2021, when its Allowance for Doubtful Accounts had a debit balance of $1,534, Indigo Corporation estimates that
    7·1 answer
  • Some of the most common applications of real options are with property and insurance. A real estate option grants the holder the
    7·1 answer
  • The financial statements of the Bramble Corp. report net sales of $473850 and accounts receivable of $56000 and $25000 at the be
    12·1 answer
  • How do you pay taxes and is it hard ( just curious)
    13·1 answer
  • As a high school student, which of the three error types would you be most concerned about? Why?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!