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
Lemur [1.5K]
3 years ago
9

A bin contains 64 light bulbs of which 10 are defective. if 5 light bulbs are randomly selected from the bin with replacement, f

ind the probability that all the bulbs selected are good ones. round to the nearest thousandth if necessary.
Mathematics
1 answer:
Sloan [31]3 years ago
3 0
Total number of bulbs = 64
Number of defective bulbs = 10
Number of good bulbs = 64 - 10 = 54

P(5 good bulbs) = (54/64)⁵ = (27/32)⁵ = 0.428


Answer: 0.428
You might be interested in
What is the value of the digit 5 in the number 75
mars1129 [50]
The value of 5 in 75 is ones
8 0
3 years ago
To avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in
Alexus [3.1K]

Answer:

\frac{4}{91}

Step-by-step explanation:  

We are told that to avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in appearance.

To find the probability that the traveler will be arrested for illegal possession of narcotics we will use theoretical probability formula.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}

Favorable outcomes will be _{3}^{6}\textrm{C}.

\text{Favorable outcomes}=_{3}^{6}\textrm{C}=\frac{6!}{(6-3)!3!}

\text{Favorable outcomes}=\frac{6!}{3!3!}

\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4\cdot3!}{3\cdot 2\cdot 1\cdot3!}

\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4}{3\cdot 2}

\text{Favorable outcomes}=5\cdot 4=20

Now let us find number of possible outcomes.

\text{Number of possible outcomes}=_{3}^{15}\textrm{C}=\frac{15!}{(15-3)!3!}

\text{Number of possible outcomes}=\frac{15!}{12!3!}

\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13\cdot 12!}{12!\cdot 3\cdot 2\cdot 1}

\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13}{ 3\cdot 2\cdot 1}

\text{Number of possible outcomes}=5\cdot 7\cdot 13=455

Upon substituting our values in probability formula we will get,

\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{20}{455}

Upon dividing numerator and denominator by 5 we will get,

\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{4}{91}

Therefore, the probability that the traveler will be arrested for illegal possession of narcotics is \frac{4}{91}.  


6 0
3 years ago
Gabriel has a glass of water.
Zigmanuir [339]
The answer is D. milliliter
6 0
2 years ago
Read 2 more answers
Find the surface area
ki77a [65]

Step-by-step explanation:

so for this one u do

15 \times 9 + 9 \times 4 + 15 \times 4

231 the times it by 2 for the both sides

231×2=462 cm2

hope this make sense :)

7 0
3 years ago
Which of the following correctly compares the uses of bar graphs versus pie charts? bar graphs show patterns in data with variab
saw5 [17]

Answer:

<h3><em>Bar graphs show data involved in distinct categories that do not overlap; whereas, pie charts show data as parts out of a whole (such as out of 100%).</em></h3>

Step-by-step explanation:

A bar graph, also called a bar chart, is used to present categorical variables, which involves rectangular bars with a correlation between a specific category and the frequency of them, this graphs can be also called histograms. It's used in statistics to describe a bunch a data, separating them in categories. This charts can be horizontal or vertical, and an important characteristics is that it's applied to represent discrete categories, that is, values expressed with whole numbers. (An example is attached).

On the other hand, pie charts, or circular charts, are used to indicate proportions from a whole part, like a pie or cake, you have a whole and 100% data and you divided into slices. For example, from the whole population in the U.S. we could divide it by ethnicity, parts from a whole, like show the image attached.

<h3>Therefore, based on each definition, the correct answer is:</h3>

<em>Bar graphs show data involved in distinct categories that do not overlap; whereas, pie charts show data as parts out of a whole (such as out of 100%).</em>

5 0
3 years ago
Other questions:
  • EASY MATH QUESTION, PLEASE HELP!
    10·2 answers
  • What is the measure of an angle in a regular dodecagon
    6·1 answer
  • (Algebra) PLZ HELP ASAP!
    5·1 answer
  • Please answer 2 and 3 as well as show work I would greatly appreciate it tysm
    10·1 answer
  • Find the quotient 3/7 and 9/14
    14·1 answer
  • How does my lung capacity compare to a trained athlete
    6·1 answer
  • HELP PLEASE!!!!!! POINTS WILL BE GIVEN!!
    13·1 answer
  • Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1: 5:1. Or
    12·1 answer
  • Can someone please help me with math.
    11·1 answer
  • Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!