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
notka56 [123]
2 years ago
5

Applications of Differential Equations : Mass-spring system

Mathematics
1 answer:
Leya [2.2K]2 years ago
8 0

Answer:

Step-by-step explanation:

The motion of a certain mass in a spring is described by:

You might be interested in
I had 13 dollars. My mom gave me 10 dollars. My dad gave me 30 dollars. My Aunt, My Uncle, and Grandma gave me 100 dollars. I ha
posledela
13+10+30+100+7=160 dollars
5 0
3 years ago
Read 2 more answers
A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What pe
kicyunya [14]

Answer:

(a) 5.48%

(b) 17.82 years

(c) 21.19%

(d) 15.21 years

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

µ=12 years and σ=2.5 years.

(a) What percent of the radios will function for more than 16 years?

For x = 16

z = 16 - 12/2.5

z = 1.6

Probability value from Z-Table:

P(x<16) = 0.9452

P(x>16) = 1 - P(x<16)

1 - 0.9452

= 0.054799

Converting to percentage = 0.054799 × 100

= 5.4799%

Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

2.326 = x - 12/2.5

Cross Multiply

2.326 × 2.5 = x - 12

5.815 = x - 12

x = 12 + 5.815

x = 17.815

Approximately = 17.82 years

(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?

When x < 10

Hence,

z = 10 - 12/2.5

z = -0.8

Probability value from Z-Table:

P(x<10) = 0.21186

Converting to percentage

0.21186 × 100

= 21.186%

Approximately = 21.19%

(d) If 10% of the radios will function for more than X years, find X.

The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

4 0
3 years ago
A basketball hoop is 10 feet high. Army is 5 feet tall. How many times is the basketball hoop than army
sp2606 [1]
2 times the amount that the army is to the basket ball hoop
5 0
3 years ago
The graph shows the distance, y, in miles, of an eagle from its nest over a certain amount of time, x, in minutes.
miv72 [106K]

i think its A but I'm not 100% on it-

4 0
3 years ago
During second period Jeff completed a grammar worksheet , of the 76 question , Jeff got 25% right , how many questions did Jeff
lana [24]
I believe the answer is 19
7 0
3 years ago
Other questions:
  • Problem 2.9 a runner completes the 200-meter dash with a time of 20.19 seconds. part a what was the runner's average speed in me
    12·1 answer
  • How does one solve this rational equation? Even youtube isn't quite helping me understand either.
    9·1 answer
  • which expression is equivalent to the given expression? 3 (2a+5)....a) 11a. b)6a+15. c) 6a+5. or d) 21a
    5·2 answers
  • Find three consecutive positive integers such that the product of the first and​ third, minus the​ second, is 1 more than 7 time
    15·1 answer
  • Which pairs of integers are additive inverses? check all that apply.
    10·1 answer
  • Translate the figure 1 unit left and 2 units up.
    8·1 answer
  • PLEASE HELP THANK YOU
    9·1 answer
  • What order do I put it in?
    13·1 answer
  • There are 12 boys in a class. If the boys make up 4/5 of the entire class, how many students are in the class?
    11·2 answers
  • andy and mark are driving to a soccer game. mark drives triple the miles andy drove. they drove a combined total of 68 miles. Ho
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!