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
BaLLatris [955]
3 years ago
13

The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approxima

tely what percent of the students are between 14 and 18 years old?
Mathematics
2 answers:
worty [1.4K]3 years ago
8 0

We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.

We are asked to find the percentage of students that are between 14 and 18 years old.

First of all, we will find z-score corresponding to 14 and 18 using z-score formula.

z=\frac{x-\mu}{\sigma}

z=\frac{14-15}{2}

z=\frac{-1}{2}

z=-0.5

Similarly, we will find the z-score corresponding to 18.

z=\frac{18-15}{2}

z=\frac{3}{2}

z=1.5

Now we will find the probability of getting a z-score between -0.5 and 1.5 that is P(-0.5.

P(-0.5

Using normal distribution table, we will get:

P(-0.5

P(-0.5

Let us convert 0.62465 into percentage.

0.62465\times 100\%=62.465\%\approx 62.5\%

Therefore, approximately 62.5\% of the students are between 14 and 18 years old.

Vanyuwa [196]3 years ago
4 0

Answer:

62.47%

Step-by-step explanation:

You might be interested in
Which statements are true about these lines? Check all that apply. Line RS has a slope of 6. Line SW has an undefined slope. Lin
brilliants [131]
Line SW is perpendicular to line RS, but not to line TV
3 0
3 years ago
Read 2 more answers
In your own words make a conjecture about the relation
damaskus [11]

Step-by-step explanation:

The congruent angles of the isocels triangle's opposite sides's are congruent.

3 0
2 years ago
What is the slope of the line that passes through the points<br> (-16, -5) &amp; (-15, -7)
In-s [12.5K]

Answer:

<u>slope=-2</u>

Step-by-step explanation:

Okay so we just take those coordinates and apply them to this formula:        

y2-y1/x2-1

then simplify to get -2

if you want me to elaborate just say the word

8 0
3 years ago
Solve the equation by completing the square. round to the nearest hundredth if necessary. x^2-6x=20
amm1812
X^2 - 6x = 20
x^2 - 6x + 9 = 20 + 9
(x - 3)^2 = 29
x - 3 = (+-) sqrt 29
x = 3 (+-) sqrt 29
x = 3 (+-) 5.39

x = 3 + 5.39 = 8.39 <=
x = 3 - 5.39 = - 2.39 <=
6 0
3 years ago
Read 2 more answers
Write a function rule for the table.
3241004551 [841]
Every hour is 15$, thus you can do x for hours, and the function would be 15x
7 0
4 years ago
Read 2 more answers
Other questions:
  • A recycling center pays $0.10 per aluminium can and $0.05 per plastic bottle. The cheerleading squad want to raise $500.
    12·1 answer
  • Please I need correct answer
    13·1 answer
  • A sweater is on sale for 30% off the ticketed price of $84. How much will the sweater cost after the discount?
    11·1 answer
  • A cotton candy vendor has 22 cones of blue cotton candy to sell. If the blue cotton candy is 50% of the total number of cones, h
    9·2 answers
  • Evaluate this expression for x= 3.1.<br>7x-5<br>The value of the expression is​
    5·2 answers
  • 305/453 what is the percent to the neriest tenth
    8·2 answers
  • Help Please ! Need help on finding the volume of two different shapes that are combined . thanks !
    15·1 answer
  • If -5x-8 =-18, is x = -2 a solution? show your work
    11·1 answer
  • HELP!!
    14·1 answer
  • Solve for x.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!