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
eimsori [14]
2 years ago
5

On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 106 and a standard deviatio

n of 14. Suppose one individual is randomly chosen. Let X = IQ of an individual.
a. What is the distribution of X? X ~ N(,)

b. Find the probability that a randomly selected person's IQ is over 107. Round your answer to 4 decimal places.

c. A school offers special services for all children in the bottom 7% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.

d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.
Q1:
Q3:
IQR:
Mathematics
1 answer:
DENIUS [597]2 years ago
5 0

Answer:

Step-by-step explanation:

N(106,14²)

(calculated using excel, let me know if you were supposed to use a normal table) = 0.4715

85.34

Q1:96.56

Q3:115.44

IQR (which is Q3-Q1)= 115.44-96.56= 18.88

You might be interested in
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the h
Mama L [17]

The heights the balls hit a fence at 350 ft distance are 65 feet, 38 feet and 30 feet, respectively

<h3>Represent the distance-height relationship for each player’s ball as an equation, in a table and on a graph. </h3>

<u>Juan</u>

Juan's equation is given as:

h = -0.001d^2 + 0.5d + 2.5

h =

Set d to multiples of 50 from 0 to 400.

So, the table of values of Juan's function is:

d (ft)                   h(ft)

0                          2.5

50                        25

100                      42.5

150                        55

200                      62.5

250                        65

300                      62.5

350                        65

400                      42.5

See attachment for the graph of Juan's function

<u>Mark</u>

A quadratic function is represented as:

h = ad^2 + bd + c

Using the values on the table of values, we have:

c = 3 -- the constant value

So, the equation becomes

h = ad^2 + bd + 3

Using the two other values on the table of values, we have:

23 = a(50)^2 + b(50) + 3

38 = a(100)^2 + b(100) + 3

Using a graphing tool, we have:

a = -0.001

b = 0.45

So, Mark's equation is h(d) = -0.001d^2 + 0.45d + 3

See attachment for Mark's graph.

<u>Barry</u>

From the graph, we have the table of values of Barry's function to be:

d (ft)                   h(ft)

0                          2.5

50                        21

100                      35

150                       44

200                      48

250                       46

300                      41

350                       30

400                      14

450                      0

Using a graphing tool, we have the quadratic function to be:

y = -0.001x^2 +0.4x +2.5

<h3><u>The shortest and the greatest distance before hitting the ground</u></h3>

From the graphs, equations and tables, the distance travelled by the balls are:

Juan = 505 feet

Mark = 457 feet

Barry = 450 feet

This means that Juan's ball would travel the greatest distance while Barry's ball would travel the shortest.

<h3>The height the balls hit a fence at 350 ft distance</h3>

To do this, we set d = 350

From the graphs, equations and tables, the height at 350 ft by the balls are:

Juan = 65 feet

Mark = 38 feet

Barry = 30 feet

The above represents the height the balls hit the fence

Read more about quadratic functions at:

brainly.com/question/12446886

#SPJ1

4 0
2 years ago
At 5:00pm the temperature read 10° above zero. At midnight it read 4 ° below zero. Find the change
larisa86 [58]
The temperature changed a total of 14° over the course of 7 hours with an average change of 2° per hour drop.
6 0
3 years ago
The slope of a line is represented by the variable<br>ОХ<br>Оy<br>m<br>b.​
Tema [17]
The answer for this question is b
6 0
3 years ago
Read 2 more answers
What is 14/26 simplified?
Reika [66]
14/26 simplified is 7/13
4 0
3 years ago
If a, b, c, d are positive, and if a/b &lt; c/d , then which statement is ALWAYS true?
Dahasolnce [82]
I believe the answer is c
3 0
3 years ago
Read 2 more answers
Other questions:
  • The lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard deviation of 4.5 inches. Enter t
    9·2 answers
  • PLEASE HELP!! Make sure to give exact coordinates.
    14·1 answer
  • Which number is a factor of 20, but not a multiple of 2? 12, 5, 10 or 4?
    6·2 answers
  • What is 2x-2(x-2y)+1/2(8x+6y) simplified?
    11·1 answer
  • A researcher asks students to rate their feeling toward an increase in tuition on a seven-point scale ranging from "opposed" to
    13·1 answer
  • Figure B is a scaled copy of Figure A.Select all of the statements that must be true:
    13·1 answer
  • A 1991 study at Ataturk University in Turkey showed that 50% of cats were right-pawed, 40% of cats
    8·1 answer
  • A football coach starts at the 0-yard line (a) and walks to the 40-yard line in 3 minutes. (b) he turns around and walks to the
    14·1 answer
  • The sum of the measures of two angles in a triangle is 98°. What is the measure of the third angle?
    8·2 answers
  • Consider vectors u = ⟨2, 1⟩ and v = ⟨4, –1⟩ with the angle between them equal to 40°. What are the scalar projections uv and vu?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!