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
lilavasa [31]
3 years ago
11

3. The variance of a set of positive numbers p.(p-5).(p-2), (p-3) (2p-5)is 5.84.

Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:

(a) p = 7

Step-by-step explanation:

The given parameters are;

p, (p - 5), (p - 2), (p - 3), and (2·p - 5) is 5.84

(a) Therefore we have;

The mean of the numbers = (p + (p - 5) + (p - 2) + (p - 3) + (2·p - 5))/5 = (6·p - 15)/5

The mean of the numbers = (6·p - 15)/5 = 6/5·p - 3

Using an online tool, we have;

The variance = (p - (6/5·p - 3))² + ((p - 5) - (6/5·p - 3))² + ((p - 2) - (6/5·p - 3))² + ((p - 3) - (6/5·p - 3))² + ((2·p - 5) - (6/5·p - 3))²/5 = 4/25·p² - 4/5·p + 18/5 = 5.84

Therefore, we have;

4/25·p² - 4/5·p + 18/5 = 5.84

4/25·p² - 4/5·p + 18/5 - 5.84 = 0

4/25·p² - 4/5·p - 2.24 = 0

Using the quadratic formula, we have;

p = (4/5 ± √((4/5)² - 4× 4/25×(-2.24)))/(2 × 4/25)

Which gives;

p = 7, or p = -2

Given that the numbers are positive, we have the only solution as p = 7

You might be interested in
In a survey of students about favorite sports, the results include 22 who like
Vera_Pavlovna [14]
1) Venn Diagram is used to organize data
2) Four circles. Three intersection circles, and one which contains other three circles
3) In the intersection area of three circles.
4) In the circle which contains other three circles, but not inside any of the intersecting circles.
8 0
3 years ago
Which of the following is the statement of the triangle inequality theorem?
kupik [55]

we know that

<u>The triangle inequality theorem</u> states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

<u>case 1)</u>

a+b > c

<u>case 2)</u>

a+c > b

<u>case3)</u>

c+b > a

therefore

<u>the answer is the option</u>

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

5 0
3 years ago
Read 2 more answers
What is 3.65 x 5<br> ‍♀️
tiny-mole [99]

Answer:

18.25

Step-by-step explanation:

4 0
3 years ago
HELLLLLLLLLLLPPPPPPPPP
elena55 [62]

Answer:

there is no quick way around this. U need to plug in -4,2,8 into x value into the function, and see what y returns to

Step-by-step explanation:

7 0
3 years ago
Find the equation of the line containing (3,-2) and (5,5).
Mars2501 [29]

Answer:

y = 3.5x - 12.5

Step-by-step explanation:

First, find the slope using rise over run (y2 - y1 / x2 - x1) with the 2 points:

(-2 - 5) / (3 - 5)

-7/-2

= 3.5

Then, plug the slope and a point into y = mx + b to solve for b:

y = mx + b

5 = 3.5(5) + b

5 = 17.5 + b

-12.5 = b

Plug the slope and the y intercept into the equation y = mx + b

y = 3.5x - 12.5 will be the equation

7 0
3 years ago
Read 2 more answers
Other questions:
  • ANSWER PLZ QUICK AND FAST WHAT
    5·2 answers
  • Experts please answer ASAP! Thank you in advance, and remember to wash your hands with antibacterial soap for 1 minute.
    8·1 answer
  • What is the answer to the question
    11·1 answer
  • Please help asap! (05.02)Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the ar
    15·2 answers
  • Simplify the ezpression:<br> 9-2-2/+ (-16)
    7·1 answer
  • Give an example of a number that is odd and composite
    7·1 answer
  • PLEASE HELP ASAP WILL MARK THE BRAINLEST
    14·2 answers
  • Explain how to create a graph to model the relationship between the 2 quanities in the table
    8·2 answers
  • Match the following geometry
    9·1 answer
  • HELP ME SOLVE THESE PLEASE
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!