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
just olya [345]
3 years ago
12

Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10

6 and σ=15. (a) What proportion of children aged 13 to 15 years old have scores on this test above 92 ? (Reminder: proportions are between 0 and 1 - don't put in percentages!)
Mathematics
1 answer:
Tju [1.3M]3 years ago
4 0

Answer: 0.8238

Step-by-step explanation:

Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with \mu=106 and \sigma=15.

Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.

Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-

P(x>92)=1-P(x\leq92)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{92-106}{15})\\\\=1-P(z\leq })\\\\=1-P(z\leq-0.93)=1-(1-P(z\leq0.93))\ \ [\because\ P(Z\leq -z)=1-P(Z\leq z)]\\\\=P(z\leq0.93)=0.8238\ \ [\text{By using z-value table.}]

Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238

You might be interested in
Find the pressure exerted by a force of 240 N on an area of 30 cm2. Find the answer in SI unit​
NeTakaya

Answer:

<u>Pressure</u><u> </u><u>is</u><u> </u><u>8</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u> </u><u>pascals</u><u>.</u>

Step-by-step explanation:

Area:

= { \bf{ 30 \times  {10}^{ - 4}   \:  {m}^{2} }}

Pressure:

{ \bf{pressure =  \frac{force}{area} }} \\  \\  { \tt{ =  \frac{240}{30 \times  {10}^{ - 4} } }} \\  = { \tt{80000 \: pascals}}

4 0
3 years ago
If f(x)= 3x + 10x and g(x)=5x - 3 find (f+g)(x)
Illusion [34]

Answer:

18x-3

Step-by-step explanation:

f(x)= 3x + 10x

g(x)=5x - 3

f(x)+g(x) = 3x + 10x + 5x - 3

Combine like terms

             = 18x -3

6 0
3 years ago
Sin2x + cos3x expand the expression
Maru [420]

Step-by-step explanation:

Use double and triple angle identities:

sin(2x) + cos(3x)

2 sin x cos x + 4 cos³x − 3 cos x

8 0
3 years ago
Steps to solve problem
Valentin [98]
The you are asking for is is 239
8 0
3 years ago
Read 2 more answers
Please help me with this<br> all 2-18 while i do the rest of my work
AlexFokin [52]

Answer:

2.26       13.-8

3.-14       14.-1

4.-12       15.3

5.-15       16.-3

6.-5        17.8

7.-15       18.-20

8.-2

9.39

10.-125

11.-50

12.29

Step-by-step explanation:

Your welcome

7 0
3 years ago
Other questions:
  • How would you find all the possible numbers of rows,with out having if 8 is a factor of every number between 70 and 150
    9·1 answer
  • At 2:00 PM a car's speedometer reads 30 mi/h. At 2:10 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:10 the acce
    7·1 answer
  • Someone please help me with this asap
    10·1 answer
  • What is the sector with a central angle of 185 degrees and a diameter of 6.4 m? Round to the nearest tenth.
    6·2 answers
  • A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,
    13·1 answer
  • How do I solve for y?
    14·1 answer
  • Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. She knows she made a mistake,
    8·2 answers
  • The three angles of a triangle have
    14·1 answer
  • Need help Math Question Multiple Choice!
    11·1 answer
  • I'm bigger than a half, less than six tenths, and I contain the digit three.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!