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
Phantasy [73]
3 years ago
13

Box 1 contains 1000 lightbulbs of which 10% are defective. Box 2 contains 2000 lightbulbs of which 5% are defective. (a) Suppose

a box is given to you at random and you randomly select a lightbulb from the box. If that lightbulb is defective, what is the probability you chose Box 1? (b) Suppose now that a box is given to you at random and you randomly select two light- bulbs from the box. If both lightbulbs are defective, what is the probability that you chose from Box 1? 4 Solve the Rainbow
Mathematics
1 answer:
mojhsa [17]3 years ago
3 0

Answer:

a) There is a 66.7% chance that you were given box 1

b) There is a 80% chance that you were given box 1

Step-by-step explanation:

To find this, we need to note that there is a 1/10 chance of getting a defective bulb with box 1 and a 1/20 chance in box 2.

a) To find the answer to this, find the probability of getting a defective bulb for each box. Since there is only one bulb pulled in this example, we just use the base numbers given.

Box 1 = 1/10

Box 2 = 1/2

From this we can see that Box 1 is twice as likely that you get a defective bulb. As a result, the percentage chance would be 2/3 or 66.7%

b) For this answer, we need to square each of the probabilities in order to get the probability of getting a defective one twice.

Box 1 = 1/10^2 = 1/100

Box 2 = 1/20^2 = 1/400

As a result, Box 1 is four times more likely. This means that it would be a 4/5 chance and have a probability of 80%

You might be interested in
The yearly deductible for John's health care plan decreased from $1250 to $1000. What is the percent decrease?
sukhopar [10]

Answer:

20%

Step-by-step explanation:

1. We assume, that the number 1250 is 100% - because it's the output value of the task.  

2. I assume, that x is the value we are looking for.  

3. If 100% equals 1250, so we can write it down as 100%=1250.  

4. We know, that x% equals 250 of the output value, so we can write it down as x%=250.  

5. Now we have two simple equations:

1) 100%=1250

2) x%=250

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=1250/250

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250 is what percent of 1250

100%/x%=1250/250

(100/x)*x=(1250/250)*x       - we multiply both sides of the equation by x

100=5*x       - we divide both sides of the equation by (5) to get x

100/5=x  

20=x  

x=20

now we have:  

250 is 20% of 1250


6 0
3 years ago
Check all of the ordered pairs that satisfy the equation below.
Georgia [21]
A. 21*(2/3) = 14 -----> not 3/2 (X
B. 7*(2/3) = 14/3 ----> not 14 (X
C. 21*(2/3) = 14 -----> equal 14 (O
D. 28*(2/3) = 56/4 -> not 42 (X
E. 42*(2/3) = 28 ----> equal 28 (O
F. 14*(2/3) = 28/3 --> not 21 (X

so the answer is C and E
4 0
2 years ago
.......................answer
irakobra [83]

Answer:

d. 12xy

Step-by-step explanation:

The + signs separate terms.

3 0
2 years ago
Collin bought 1/2 a pound of chocolate at Rocky Mountain Chocolate factory. Later, they went to The Sweet Shoppe and he bought 6
Lera25 [3.4K]

Answer:

1 1/6

Step-by-step explanation:

6/9 times 2/2=12/18

1/2 times 9/9=9/18

12/18+9/18=21/18

21/18=1 3/18

1 3/18=1 1/6

6 0
3 years ago
Read 2 more answers
Patrick is constructing the circumscribed circle for △RST. Which construction could be his first step?
Gnom [1K]
Construct the perpendicular bisector of ST
7 0
3 years ago
Read 2 more answers
Other questions:
  • Alan has $25 to spend he spent $12.89 including tax to buy a new DVD he needs to save $5 but he wants to buy a snack if candy ba
    8·1 answer
  • Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge
    5·1 answer
  • Mercury orbits the Sun in 87 24/25 Earth days. Venus orbits the Sun in 224 7/10Earth days, and Mars
    10·1 answer
  • An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are
    14·1 answer
  • The measure of the smallest angle of a triangle is ​one-fifthfifth the measure of the largest angle. The measure of the second a
    9·1 answer
  • 72 21/64 being simplified as a fraction <br> if right ill do 5 star
    5·1 answer
  • How to write fifteen cubed in exponential notation standard form and expanded form
    6·2 answers
  • BRAINLIEST AND 50 POINTS PLZ HELP ASAP
    9·2 answers
  • What is the equation of the line with a slope of 4 and a y-intercept of —2?
    13·1 answer
  • 8^x=2 what is x please help
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!