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
Mashcka [7]
3 years ago
15

A grading scale is set up for 1000 students' test scores. It assumes the

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

This means that \mu = 75, \sigma = 15

How many students will score between 48 and 75?

First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So

X = 75

Z = \frac{X - \mu}{\sigma}

Z = \frac{75 - 75}{15}

Z = 0

Z = 0 has a p-value of 0.5

X = 48

Z = \frac{X - \mu}{\sigma}

Z = \frac{48 - 75}{15}

Z = -1.8

Z = -1.8 has a p-value of 0.0359

1 - 0.0359 = 0.4641

Out of 1000:

0.4641*1000 = 464

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

You might be interested in
Need answer asap. will give thanks
kompoz [17]
The answer of the larger circle = 254.34
Formula = radius*radius*π

The answer of the smaller circle = 113.04

254.34 - 113.04 = 141.3

Hope this helped☺☺
4 0
3 years ago
Read 2 more answers
A map uses a scale of 1 in :20mi. Find the the actual distance of 5.5 inches on the map. help me​
astraxan [27]

Answer:

110

Step-by-step explanation:

5.5 x 20 = 110

4 0
2 years ago
since there are 6 faces on a die there is a 3/6 or 1/2 chance of rolling a die and getting a prime number.
Troyanec [42]
I would say 2/5 chance since 1 is neither prime or composite
8 0
3 years ago
Does the relation y=x^2-1 defines y as a function of x
Reil [10]

Answer:

Yes.

From Definition - A special relationship where each input has a single output.

Check if there is going to be one y for one x.

Step-by-step explanation:

  1. Re-write it in terms of y=…., meaning solve for y
  2. If it looks like you have two equations then it is a relationship -case a
  3. If you need to prove that one has a function for case b, you would point out that if you substitute any value you will get some value in Reals.
7 0
3 years ago
Read 2 more answers
(6h+2)+(-7h-8) simplify?
lawyer [7]

Answer:

-h - 6

Step-by-step explanation:

(6h + 2) + (-7h - 8) <== remove parenthesis

6h + 2 - 7h - 8 <== combine like terms

6h - 7h + 2 - 8

-h - 6

Hope this helps!

4 0
2 years ago
Other questions:
  • Three thousand dollars are invested in an account paying 6% interest, and half that amount is invested at 4%
    15·1 answer
  • In proving statements using the coordinate method, the placement of the figure can simplify the _____ work?
    10·1 answer
  • A set of problems on Algebra, Geometry, and Combinatorics consists of 52, 70, and 88 problems. If 2 more problems from each cate
    6·2 answers
  • Ruth and Alison shared a sum of money in a ratio 4 : 7 . Alison received 60 dolla more than Ruth . Alison gave 35 dolla to Ruth
    8·1 answer
  • The ratio of red marbels to blue marbles in a bag is 3:4 which of the following is a possible total number of marbels
    15·1 answer
  • Katelyn is shopping for a cellular phone service. Trenton bell charges a monthly fee of $40 for up to 500 minutes. For every min
    11·1 answer
  • Write the equation of the given line in slope intercept form (-1, 2) (1, -4)
    15·1 answer
  • The sum of the measures of two exterior angles of a triangle is 264. What is the measure of the third exterior angle?
    14·1 answer
  • M= -2​, b 7/2<br> Enter the equation of the line in​ slope-intercept form.
    9·1 answer
  • A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!