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
ale4655 [162]
3 years ago
12

Mrs. Bailey gives a test, and her students’ scores range from 30 to 70. She decides to curve the scores, so that they range from

65 to 95. Let "x" be an original score, and "y" be a curved score. Using the ordered pairs (30,65) and (70,95), write the equation in slope/intercept form that she should use to curve the test scores.
Mathematics
1 answer:
Harman [31]3 years ago
8 0

Answer:

f(x) = x*3/4 + 42.5

Step-by-step explanation:

The original difference between the pair is 70 - 30 = 40

The new difference between the pair is 95 - 65 = 30

Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4

Then 30 * 3/4 = 22.5

Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95

Therefore, f(x) = x*3/4 + 42.5. We can test that

f(30) = 30*3/4 + 42.5 = 65

f(70) = 70*3/4 + 42.5 = 95

You might be interested in
The proportion of a population with a characteristic of interest is p = 0.37. What is the standard deviation of the sampling dis
lukranit [14]

The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.

<h3>What is a sample proportion?</h3>

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

\hat{p} = \frac{x}{n}

Where:

  • x represent the number of individuals with a specified characteristic.
  • n represent the total number of individuals in a sample.

In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:

Standard deviation (SD) = √(p(1 - p)/n)

Substituting the given parameters into the formula, we have;

Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)

Standard deviation (SD) = √(0.37(0.63)/1,600)

Standard deviation (SD) = √(0.2331)/1,600)

Standard deviation (SD) = √0.0001457

Standard deviation (SD) = 0.0121.

Read more on standard deviation here: brainly.com/question/14467769

#SPJ1

8 0
1 year ago
A man burns 10 calories per minute mountain biking and 7.5 calories per minute in-line skating. His goal is to burn approximatel
Ipatiy [6.2K]
A.) 10x + 7.5 (0) =420
10x = 420
420 / 10 = 42

x = 42 > ( 42,0 )

10(0) + 7.5y = 420
7.5y = 420
420 / 7.25 = 56

y = 56 > ( 0,56 )

(42,0) (0,56)

B.) The x intercept means that there was 42 ,minutes spent biking. The y intercept means that there was 56 minutes spent in line skating.

C.) (21 ,28) - (14,37) - (28,18)
8 0
3 years ago
¿qué edificaciones se encuentran en el mundo con el aspecto de una parábola?
Oksana_A [137]

Answer:

Una parábolase obtienecuando se corta un cono de tal maneraque el corte sea paralelo auno de sus lados, como lo muestra la grafica de la Fig. No 10. Una vez que se ha observado a la parábola en la naturaleza, pasemos a estudiarla desde el punto de vista geométrico.

5 0
3 years ago
PLEASE HELP ME ON THIS
cricket20 [7]
The answer is 96. just multiply 6 *2 =12*2=24*2=48*2=96
5 0
3 years ago
Read 2 more answers
two cruise ships are sailing towards each other from caribbean islands that are 264 km apart, one ship travels 4 km/h faster tha
____ [38]
The answer should be 1,056 

If not sorry. 

7 0
3 years ago
Other questions:
  • Question 7
    10·1 answer
  • Set up a system of equations needed to solve each probler
    14·1 answer
  • Which of the following equations is represented by a graph that is centered at (- 6, - 8) and includes the point (0, - 8) ?
    10·1 answer
  • If a die is rolled 1 time find the probability of getting a number less than 6
    12·1 answer
  • Jade's family is planning a trip to her Aunt Mazie's house to celebrate Aunt Mazie's birthday. On the first day of the trip, the
    9·1 answer
  • Mr. Brooks has $14.20 in his checking account, he uses
    11·1 answer
  • Please help!!!
    13·1 answer
  • I need help can you please help me
    10·1 answer
  • This is probably easy but I zoned out in class so yeah
    9·1 answer
  • A sign in front of a roller coaster says "You must be 40 inches tall to ride."
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!