Lathe

95% of the components manufactured on the lathe comply with the standard, of which 80% of the components are first-class. How likely can we expect a manufactured part to be first class?

Correct result:

p =  76 %

Solution:

p1=95%=95100=0.95 p2=80%=80100=0.8  p=100 p1 p2=100 0.95 0.8=76%p_{1}=95 \%=\dfrac{ 95 }{ 100 }=0.95 \ \\ p_{2}=80 \%=\dfrac{ 80 }{ 100 }=0.8 \ \\ \ \\ p=100 \cdot \ p_{1} \cdot \ p_{2}=100 \cdot \ 0.95 \cdot \ 0.8=76 \%



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!


Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Would you like to compute count of combinations?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • Adding percentages
    percent 55%+36%+88%+71%+100=63% what is whole (X)? Percents can be added directly together if they are taken from the same whole, which means they have the same base amount. .. . You would add the two percentages to find the total amount.
  • Researchers
    house Researchers ask 200 families whether or not they were the homeowner and how many cars they had. Their response was homeowner: 14 no car or one car, two or more cars 86, not homeowner: 38 no car or one car, two or more cars 62. What percent of the families
  • Profit gain
    percent_12 If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
  • Percentage increase
    percent_31 Increase number 400 by 3.5%
  • Borrowing
    test_5 I borrow 25,000 to 6.9% p.a.. I pay 500 per month. How much will I pay and for how long?
  • The ball
    ball1_4 The ball was discounted by 10 percent and then again by 30 percent. How many percent of the original price is now?
  • Fruit tea
    tea_3 Tea contains 7% of fruit components and 12% of sugar in this component. How many percents of sugar is represented in the whole tea?
  • Mixed with percentages
    percent_21 Calculate 33 1/3% of 570.
  • Win in raffle
    tombola_1 The raffle tickets were sold 200, 5 of which were winning. What is the probability that Peter, who bought one ticket will win?
  • Sum 10
    dices11 What is the probability that two dice throw twice in a row will result the sum of 10?
  • Green - Red
    balls_2 We have 5 bags. Each consist one green and 2 red balls. From each we pull just one ball. What is the probability that we doesn't pull any green ball?
  • Summerjob
    tree2 The temporary workers planted new trees. Of the total number of 500 seedlings, they managed to plant 426. How many percents did they meet the daily planting limit?
  • Price increase 2x
    percents_3 If two consecutive times we increase the price of the product by 20%, how many % is higher final price than the original?
  • Candies
    bonbons_2 In the box are 12 candies that look the same. Three of them are filled with nougat, five by nuts, four by cream. At least how many candies must Ivan choose to satisfy itself that the selection of two with the same filling? ?
  • Probability
    loto What are the chances that the lottery, in which the numbers are drawn 5 of 50 you win the first prize?
  • Today in school
    skola There are 9 girls and 11 boys in the class today. What is the probability that Suzan will go to the board today?
  • Piano
    piano If Suzan practicing 10 minutes at Monday; every other day she wants to practice 2 times as much as the previous day, how many hours and minutes will have to practice on Friday?