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
nignag [31]
3 years ago
8

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum

marized as follows:
shock resistance
scratch resistance high low
high 70 9
low 16 5
Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. Input your answers in the fractional form (do not simplify).

P(A)
P(B)
P(A')
P(A U B)
P(A' U B)
Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Answer:

P(A) = 86/100

P(B) = 79/100

P(A') = 14/100

P(A U B) = 95/100

P(A' U B) = 84/100

Step-by-step explanation:

i. P(A) = number of disks with high shock resistance/total number of disks

= (70+16)/100

= 86/100

ii. P(B) = number of disks with high scratch resistance/total number of disks

= (70+9)/100

= 79/100

iii. P(A') = number of disks without high shock resistance/total number of disks

= (100-86)/100

= 14/100

iv. P(AUB) = number of disks with high shock resistance or high scratch resistance/total number of disks

= (70+9+16)/100

= 95/100

v. P(A'UB) = number of disks without high shock resistance or with high scratch resistance/total number of disks

= (5+9+70)/100

= 84/100

You might be interested in
A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at random, what is the probabilit
Marysya12 [62]

<u>Answer:</u>

  • There is a 41.7% chance that you got a blue ball.

<u>Step-by-step explanation:</u>

<u>Total number of blue balls/Total number of balls x 100 = Chance of getting a blue ball</u>

  • => 5/12 x 100
  • => 5/6 x 50
  • => 5/3 x 25
  • => 125/3
  • => 41.7

Hence, <u>there is a 41.7% chance that you got a blue ball.</u>

Hoped this helped.

BrainiacUser1357

5 0
3 years ago
Read 2 more answers
There are 180 students participating in after school activities. Of those students 40% are boys . How many girls are participati
Nezavi [6.7K]

i dont want to assume all the other people participating in after school activities are girls but if they are, the answer is 108.

180 = 100%

x = 40%

the information above shows that 60% are girls

60% of 180 = 108 or 0.60 x 180 = 108

the answer is 108

hope this is helpful!

7 0
4 years ago
Riley adds 45.3 and 3.21 should his sum be greater than or less than 48 tell how you know
Romashka [77]

His sum should be more than 48.

I know because if you throw away the decimal pieces
and just add up the whole numbers  45  and  3 ,
right there you would have 48 .  So when you include
the decimal pieces, they'll make it even bigger.

7 0
3 years ago
Read 2 more answers
Please Help! will give Brainliest!
mixer [17]

1. The x-intercepts are x = 0 and x = 6. You can find these by looking for where the line crosses the x-axis. You can see here that it does so at 0 and 6.


2. The maximum value for this function is looking for the f(x) value at the highest point. In this case, you will see that f(x) at the highest point is 120. This happens at x = 3. Once again, this can be found just by looking for the highest point on the graph.


3. Since that is the absolute highest point, it is also the point where is goes from increasing to decreasing. As a result, we know the increasing interval is x<120 and the decreasing interval is x > 120.


4. Finally, the average rate of change between 3 and 5 is -30. You can find this by determining the amount of change in f(x) and dividing it by the amount of change in x. The basic formula is below.


\frac{new f(x) - old f(x)}{new x - old x}

\frac{60 - 120}{5 - 3}

\frac{-60}{2}

-30

6 0
3 years ago
Help please and show your work
andrezito [222]
6: -8+4V
8: -9-15V OR -9+(-)15V
10:-17+33V
8 0
3 years ago
Other questions:
  • Simplify 6/10 + 8.75?
    13·2 answers
  • Diameter = 8 cm circumference =
    11·2 answers
  • Which are equations? Check all that apply.
    13·2 answers
  • How do u simplify I dont understand it or know how to do it
    9·1 answer
  • Rita's water tank contains 7.8 gallons of water. Rita will begin filling her water tank at a rate of 2.1 gallons per minute. Wen
    10·1 answer
  • See picture above and solve surface area
    9·1 answer
  • Which of the equations given below would generate a straight line? Help :)
    7·1 answer
  • G(x)=x2-4x-5 find domain
    5·1 answer
  • Hoof and mouth disease spreads through a herd of cattle at a continuous rate of 27.08% each day. After 10 days, 30 cows are infe
    8·1 answer
  • How many positive 3-digit numbers have property that the first digit is at least three times the second digit?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!