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
8_murik_8 [283]
3 years ago
8

Assume that the number of watches produced every hour is normally distributed with a mean of 500 and a standard deviation of 100

. what is the probability that in a randomly selected hour the number of watches produced is greater than 500
Mathematics
2 answers:
horsena [70]3 years ago
8 0
To evaluate the <span>probability that in a randomly selected hour the number of watches produced is greater than 500 we proceed as follows:
z=(x-</span>μ<span>)/</span>σ
where:
x=500
μ=500
σ=100
thus
z=(500-500)/200=0

Thus:
P(x>500)=1-P(x<500)=1-P(z<0)=1-0.5=0.5

Answer: 0.5~50%
Karolina [17]3 years ago
8 0

Answer:  0.5

 

Step-by-step explanation:

Given :  The number of watches produced every hour is normally distributed with a mean of 500 and a standard deviation of 100.

i.e. \mu = 500\text{ and } \sigma= 100

Let x be the number of watches produced every hour.

Then, the probability that in a randomly selected hour the number of watches produced is greater than 500 will be :

P(x>500)=1-P(x\leq500)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{500-500}{100})\\\\=1-P(z\leq0)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.5\ \ [\text{ By z-table}]\\\\=1-0.5=0.5

Hence, the probability that in a randomly selected hour the number of watches produced is greater than 500 =0.5.

You might be interested in
Help please (will give brainliest)
lorasvet [3.4K]
Step 1, all the exponents are multiplied by 2
3 0
3 years ago
Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV
Gnesinka [82]

The correct two-way frequency table for the data is <u>Men </u><u>and </u><u>Women </u><u>Leisure Time Activity Preferences.</u>

<h3>What is a correct two-way frequency table?</h3>

A correct two-way frequency table displays frequencies for two categories (rows and columns) collected from categorical variables (men and women).

Men and Women Leisure Time Activity Preferences;

                Playing Sports     Dancing     Watching movies/TV   Row totals

Men                  11                         3                          6                          20

Women             5                       16                          9                          30

Column totals 16                       19                         15                          50

Hence, the correct two-way frequency table for the data is Men and Women Leisure Time Activity Preferences.

To learn more about two-way frequency tables click the link given below.

brainly.com/question/4555163

3 0
2 years ago
Find two numbers with a sum of 20 and a difference of 14.
Alekssandra [29.7K]
The anwser is 17 and 3. 17+3=20, and the difference is 14!
5 0
3 years ago
Read 2 more answers
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. One of the x-interc
Marina CMI [18]
3x^2 + 6x - 10 = 0
3(x^2 + 2x) - 10 = 0
3[ (x + 1)^2 - 1 ] - 10 = 0
3(x+1)^2 - 13 = 0

so the vertex is at (-1,-13)
the roots will be same distance from x = -1
that is a distance 1.08 --1 = 2.08

so other root is approximately  -1 -2.08 = -3.08

the other intercept is at (-3.08,0)
5 0
3 years ago
Read 2 more answers
Solution for the inequality 6x +9 ≤ 27
AlexFokin [52]

Answer:

6x + 9 = 27

       -9     -9

6x = 18           Now divide both sides by 6

/6      /6            so the answer is 3

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • If tan x° = 11 divided by r and cos x° = r divided by s , what is the value of sin x°
    13·1 answer
  • In the diagram, point P is a point of tangency. Find the radius r of circle O.​
    5·1 answer
  • 2(x+4)= -5x+1<br> Some one please solve
    8·1 answer
  • I really need help on this question <br>7+4÷5b=9÷10b
    9·1 answer
  • Please HELP!! <br><br> WILL AWARD BRAINLEST
    11·2 answers
  • (12pts) Inequalities please help me !?
    6·1 answer
  • Find the area of a regular pentagon with a side length of 14 and an apothem of 22
    8·1 answer
  • Help me find the function pls
    10·1 answer
  • After a discount of 20 %, Marjorie paid $ 180 for a dress. The original price of the dress was​
    7·1 answer
  • Dr. Horton is studying an endangered fox whose population is declining. The population decrease is represented by the function f
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!