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
Romashka [77]
3 years ago
14

In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Alice has s

cored 94, 77, and 87 on the first three. What range of scores on the fourth test will give Alice a B for the semester (an average between 80 and 89, inclusive)? Assume that all test scores have a non-negative value.
Social Studies
1 answer:
IgorC [24]3 years ago
6 0

Answer:

between 62 and 98.

Explanation:

This question can be solved faily easy:

We denote "B" as the value average of the four test values for B score (between 80 - 89) and "X" as the score on the 4th test so to find the range of values that Alice needs to score in the 4th test we only have to replace in the next formula:

B=\frac{94 + 77 + 87 + X}{4}

X=4*B-94-77-87

We reformulate the equation in function of B

We have the next range of values for "B" (80, 81, 82, 83, 84, 85, 86, 87, 88, 89), we replace those values in the formula and operate to get the range of values we need to score in the 4th test.

X=4*80-94-77-87=62

X=4*81-94-77-87=66

X=4*82-94-77-87=70

X=4*83-94-77-87=74

X=4*84-94-77-87=78

X=4*85-94-77-87=82

X=4*86-94-77-87=86

X=4*87-94-77-87=90

X=4*88-94-77-87=94

X=4*89-94-77-87=98

As we can see for Alice to get a B for the semester she needs to score on the 4th test a score between 62 and 98 points.

You might be interested in
The difference between the maximum amount a person is willing to pay for a given quantity of a good and the amount actually paid
Katyanochek1 [597]

Answer: consumer surplus

Explanation:

The difference between the maximum amount a person is willing to pay for a given quantity of a good and the amount actually paid for that quantity is known as consumer surplus. On a supply and demand curve, it is the area between the equilibrium price and the demand curve. For example, if you would pay 76 dollars for a cup of tea but can buy it 50 dollars, your consumer surplus is 26 dollars

3 0
3 years ago
What is PIL?how does this help people?
il63 [147K]

Answer:

In simple terms, a PIL is a petition that an individual or a non-government organisation or citizen groups, can file in the court seeking justice in an issue that has a larger public interest. It aims at giving common people an access to the judiciary to obtain legal redress for a greater cause

6 0
3 years ago
1. The closing took place on April 28th. The buyers first principal and interest payment is due on June 1. This is an example of
Allushta [10]

Answer:

A. in arrears.

Explanation:

8 0
2 years ago
Your co-worker, Bill, comes into the office and tells you that he is going to play "hooky" and go golfing, believing that the bo
vitfil [10]

Answer:A palter

Explanation: what is a palter?

A palter is a statement that someone makes by omitting crucial information which may confuse the receiver of the message.

This is done when someone can not be straight or be factual because they are afraid of the consequences or because they want to mislead the person.

He is misleading the boss by saying he hasn't seen him and he is plainly lying by finding something that may make him not to look guilt .

This may lead to serious consequences because now he lied to the boss even though he knows the truth .

4 0
3 years ago
Stephanie is a corporate trainer. One of her favorite ways to start a training program is to present a case study and encourage
Westkost [7]

Answer: Groupthink

Explanation:

Groupthink could be defined as a scenario when a group uniformly agrees to a decision whether it's right or wrong, make the decision together and resist any other form of reasoning. Groupthink occurs most times when a group is tired of constructive analysis and criticism of what they are asked to decide on. It encourages bad decision and allow members of the team ignore problems and solutions to solving problem

The group Stephanie was handling experienced a Groupthink, where everyone just went with the same decision irrespective of whether it was right or wrong.

5 0
3 years ago
Other questions:
  • Disciplined effort definition
    10·2 answers
  • Alan just met Tina who is from a small rural town in the South. Alan believes that people from the South are narrow-minded, cons
    12·1 answer
  • What brought increased public attention to the problems with the irb system?
    12·1 answer
  • During the constitutional convention, which states generally opposed an unelected federal judiciary?
    8·2 answers
  • 2. Where did the Lincoln get the phrase "all men are created equal?" _
    11·1 answer
  • What headline would have occurred in 1519?
    14·1 answer
  • Who invented the first successful American steamboat ?
    14·1 answer
  • Personel biocological model of life
    7·1 answer
  • The French and Indian War was a conflict between ______ vs _______. 1. (France and Indians) and (British and colonies) 2. (Franc
    11·1 answer
  • Thrift, industriousness, and respect for elders/ancestors are valued in cultures with:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!