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
Slav-nsk [51]
3 years ago
6

Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an indivi

dual that reads 46.4 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute. At what percentile is the child's reading level (round final answer to one decimal place)?
Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

The child's reading level is at the 3.4th percentile.

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.

You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 90 words per minute and a standard deviation of 24 words per minute.

This means that \mu = 90, \sigma = 24

You find an individual that reads 46.4 word per minute. At what percentile is the child's reading level?

The percentile is the p-value of Z when X = 46.4, multiplied by 100. So

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

Z = \frac{46.4 - 90}{24}

Z = -1.82

Z = -1.82 has a p-value of 0.034.

0.034*100 = 3.4

The child's reading level is at the 3.4th percentile.

You might be interested in
You have $10.00 and want to buy candy for $8.73. How much money will you have left over?
Viktor [21]

Answer:

$1.27

Step-by-step explanation:

You simply just need to subtract 10.00-8.73 to get your answer which is 1.27.

6 0
3 years ago
Read 2 more answers
show me how to work this problem, point A(7,9)is dilated from the origin by scale factor r was= 6. what are the coordinates of p
frutty [35]

If the point is dilated from the origin by a scale factor of 6

Then the coordinates of point A becomes

A( 6x7 , 6x9)

A_{0,6}(7,9)=(42,\text{ 54)}

6 0
1 year ago
Plz help. pl and thank u
Verizon [17]

Answer: sorry i cant read it its to small

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Carole purchased 7/8 of a pound of chocolate chips to make cookies.On the way home from the store she got hungry and ate 1/4 of
Oksi-84 [34.3K]
7/8 (0.875) minus 1/4(0.25) = 0.625 (5/8)
5 0
3 years ago
M+3=5:m=? please give me explained​
storchak [24]

Answer: M = 2

Step-by-step explanation:

Given equation: m+3=5

You need to isolate m so you can find its value. Subtract 3 from the left side, and do the same to the right side. Subtracting 3 from 5 as well makes the number become 2 on the right side of the equation. Therefore, m=2.

A rule you should always remember is when you have a value on each side of the equal sign, whatever form of addition, subtraction, multiplication, or division should be done to the other side as well.

6 0
3 years ago
Other questions:
  • A car is driven 402.5 miles on 11.5 gallons of gas. Find the number of miles traveled per gallon of gas
    10·2 answers
  • Am I finding the area of this wierd shape correctly if not what am I doing wrong?
    10·1 answer
  • julie has 3/4 quart of fruit juice. she pours the same amount into each of the 4 glasses. which equation represents the fraction
    10·2 answers
  • Destiny gives her bean plant 2/3 cup water every day. how much water does destiny give her bean plant in 8 days?
    12·1 answer
  • Use the net to find the lateral area of the prism.
    9·1 answer
  • Work out (7 × 10^3)x(2 x 10^7)<br> Give your answer in standard form.
    15·1 answer
  • PLEASE HELP I WILL MARK YOU BRAINISLEST AND GIVE YOU 14 POINTS
    7·2 answers
  • 120 x ? = 40
    5·1 answer
  • How much money will Adriano’s online business earn this month
    13·1 answer
  • I rlly need help with this, i don’t understand it at all
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!