answer.
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
igor_vitrenko
1 month ago
5

Christmas Tree lights are used not only for Christmas trees, but sometimes to decorate college dorm rooms. Suppose that a string

has 20 light bulbs. These lights are all wired in series, so that if one light bulb fails, the whole string fails. The probability that any one light fails is 0.02. Each of the individual lights are independent of each other. What is the probability that the string will NOT fail?
a. 0.02
b. 0.40
c. 0.668
d. 0.333
Mathematics
1 answer:
Inessa [12.5K]1 month ago
6 0

Answer:

Greetings!

Since the bulbs are connected in series, if any single bulb fails, the entire string fails.

We therefore need to assess the probability that none of the 20 bulbs fail.

If the likelihood of each bulb's failure is 0.02, the complementary probability (indicating it functions correctly) becomes 1 - 0.02 = 0.98.

Given there are 20 bulbs, with each having a 0.98 probability of functioning correctly, the total probability that all bulbs work is the product of these probabilities, calculated as

0.98^{20} = 0.6676.

Rounded, this becomes 0.668.

Thus, the accurate answer is option c.

You might be interested in
Why did the cow give only buttermilk
tester [12383]
The query arises from an activity that must be completed to acquire the letters filling in the answer. After participation in this activity, the response to why the cow provided only buttermilk is "What else can she provide but her milk." The phrase "But-her-milk" is a play on words with "buttermilk." I hope this clarification assists you.
5 0
20 days ago
Mr. And Mrs. Storey drove 3,200 miles in all during their vacation. Mr Storey drove 3 times as many miles as Mrs. Storey. Howany
zzz [12365]
In the ratio of miles traveled, Mr. Storey and Mrs. Storey's journey is represented as mr: mrs = 3: 1. The total of these ratio units equals 4 (3+1), which means each unit corresponds to 3200 divided by 4, resulting in 800 miles. Mr. Storey drove 3 multiplied by 800, equating to 2400 miles, while Mrs. Storey drove 1 multiplied by 800, totaling 800 miles.
5 0
23 days ago
A certain food has a gluten ratio of 13\,\text{mg}13mg13, start text, m, g, end text of gluten per \text{L}Lstart text, L, end t
tester [12383]

Answer:

The gluten content expressed in micrograms per milliliter is 13 µg/mL.

Step-by-step explanation:

Take into account the details given.

The gluten content of the product is specified as 13 \frac{mg}{L}.

We now need to convert the gluten content to micrograms per milliliter.

For conversion from mg to micrograms, refer to the following facts:

1 mg equals 1000 micrograms.

1 L corresponds to 1000 milliliters.

Next, replace 1 mg = 1000 micrograms and 1 L = 1000 milliliters into the ratio provided above.

13( \frac{1000 \ micro-grams}{1000 \ milliliter} )= 13( \frac{micro-grams}{milliliter})

Consequently, the gluten ratio in micrograms per milliliter is 13 µg/mL.

5 0
1 month ago
Read 2 more answers
2. Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements
PIT_PIT [12445]

The complete question reads:

Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements

might accurately describe Peter's drawing?

I. AC and AP are parallel.

II. PAC represents an angle.

III. AC and AP are at right angles.

A. I and II

B. II and III

C. I and III

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We know Peter has drawn rays AC and AP.

Since the point A is shared as the endpoint, it indicates an angular relationship at this common point.

This angle could potentially be 90°, suggesting that rays AC and AP may be perpendicular.

Thus, the valid statements that characterize his drawing are: II & III.

4 0
1 month ago
Ivan and Tanya share £150 in the ratio 4:1 how much more Ivan has then tanya
Zina [12379]

Hello!

--------------------------------------------------------

Solution:

The ratio is expressed as 4 to 1.

Add these parts together.

4 + 1 equals 5.

Now divide.

150 divided by 5 results in 30.

Next, multiply to find Ivan's share.

30 multiplied by 4 gives us 120.

30 multiplied by 1 equals 30 for Tanya.

Verify.

120 plus 30 totals 150.

Then subtract.

120 minus 30 equals 90.

--------------------------------------------------------

Answer:

Ivan possesses £90 more than Tanya!

--------------------------------------------------------

I hope this has been helpful! Best of luck!

3 0
1 month ago
Read 2 more answers
Other questions:
  • A ___ is obtained by dividing the population into groups and selecting all individuals from within a random sample of the groups
    9·1 answer
  • Chris has a cell phone plan with a flat fee of $26.00 per month, plus a cost of $0.12 per minute of usage. Chris can only afford
    6·1 answer
  • Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use t
    14·2 answers
  • Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe
    8·2 answers
  • On a tour of an old gold mine, you find a nugget containing 0.82 ounce of gold. gold is worth $1566.80 per ounce. how much is yo
    6·1 answer
  • .04 is 1/10 of what number
    6·2 answers
  • A pair of events are observed to have coordinates (0s,0m) and (50.0s,9.00×109m) in a frame s. what is the proper time interval δ
    13·1 answer
  • The given equation has been solved in the table. In which step was the subtraction property of equality applied?
    7·1 answer
  • Explain how to estimate 368+231 in two different ways
    6·2 answers
  • PLEASE HELP MEE! the table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it tak
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!