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
weeeeeb [17]
3 years ago
9

Two factories I and II produce phones for brand ABC. Factory I produces 60% of all ABC phones, and factory II produces 40%. 10%

of phones produced by factory I are defective, and 20% of those produced by factory II are defective. You purchase a brand ABC phone, and assume this phone is randomly chosen from all ABC phones. Suppose the phone is not defective. What is the probability that it came from factory II?
Mathematics
1 answer:
denpristay [2]3 years ago
4 0

Answer:

0.3721 or 37.21%

Step-by-step explanation:

P(I) = 0.60; P(II) = 0.40;

P(not defective I) = 0.90; P(not defective II) = 0.80

The probability that the phone came from factory II, given that is not defective, is determined by the probability of a phone from factory II not being defective divided by the probability of a phone not being defective.

P(II|not) = \frac{P(II)*P(not_{II})}{P(II)*P(not_{II})+P(I)*P(not_{I})}\\P(II|not) = \frac{0.40*0.80}{0.40*0.80+0.60*0.90}\\ P(II|not) =0.3721 = 37.21\%

The probability is 0.3721 or 37.21%.

You might be interested in
6. Using the discriminant, determine the value of k that will give 1 solution (i.e. discriminant equals zero) y = kx²-4x + 4 ​
Gwar [14]

Answer:

k = 1

Step-by-step explanation:

<u>Discriminant</u>

b^2-4ac\quad\textsf{when }\:ax^2+bx+c=0

\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}

\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}

\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}

As we need to determine the value of k that will give <u>one solution</u>, set the <u>discriminant to zero</u>.

<u>Given equation</u>:

y=kx^2-4x+4

Therefore:

  • a = k
  • b = -4
  • c = 4

Substitute these values into the discriminant and solve for k:

\begin{aligned}b^2-4ac & = 0\\\implies (-4)^2-4(k)(4) & = 0\\16-16k & = 0\\16k & = 16\\\implies k & = 1\end{aligned}

4 0
1 year ago
I need help please Will mark brainliest. Thank you
valentinak56 [21]
I believe this means y=13
7 0
2 years ago
TRUE or FALSE: Your boat travels 480 miles in 20 hours. That is the same rate as 860 miles in 40 hours.
Morgarella [4.7K]

Answer:

false

Step-by-step explanation:

860 divided by 2 is 430 NOT 480

5 0
3 years ago
Read 2 more answers
Name a career that requires data-analysis skills. Describe how data analysis is used in this career. Be specific in your example
Viefleur [7K]

Answer: Find explanations below.

Step-by-step explanation:

1. A career as a Data Scientist would require data analysis skills.

2. The Data Scientist computes and analyzes large amounts of data from different sources and then makes useful interpretations with it. He needs skills In Statistics, Calculus, Probability, Programming, Excel, Visualization, Database management, and Machine Learning. He also needs a high level of accuracy when solving problems.

3. The median value is used when the data set contains values that repeat regularly and which contains some extremely high values. The mean value would aggravate towards higher values while the Median value would give a salary value that is an average of the data set. That is why the median value is used in salaries and housing prices calculations.

4. The dot plot is a simple scale representation of data values using dots to highlight the frequency of occurrences. I would use a dot plot to analyze quantitative data (like percentages, and decimals), and univariate data ( like mean, median, and mode).

The box plot analyzes a group of data in graphic styles. I would use it to determine the interquartile range, maximum, minimum, and median values. I would also use it to identify outliers.

5. Dot plot Strengths:

a. It is easy to plot the dots.

b. It is easy to interpret the data.

c. It shows the connection between the two data sets.

Dot Plot Weaknesses:

a. It shows the similarities between only two sequences.

b. The changes that occur between the data set cannot be easily detected.

c. It is time-consuming.

Box Plot Strengths:

a. Outliers are detected.

b. Indicates the 5-point summary.

c. It can compare more than two data set.

Box Plot Weaknesses:

a. Real values are lost.

b. The graph Is not easy to the sight.

6. The Income of the population of adult women would have a negatively skewed distribution.

4 0
3 years ago
PLEASE HELP ASAP 25 POINTS
Elena L [17]

Answer: B

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

 2x - 3y =  -7   →   2(2x - 3y = -7)   →   4x - 6y = -14

-4x + 6y = -10  →   1(-4x + 6y = -10) → <u>-4x + 6y</u> = <u>-10 </u>

                                                                    0  = -24

                                                                     FALSE

Since this makes a false statement, there are no solutions


6 0
3 years ago
Other questions:
  • PLZ HELP!!!<br><br> A Circle has a radius of 6x9y5 Cm.
    15·1 answer
  • describe why it might not be a good idea to use a key where each symbol stands for 1 in a picture graph
    5·1 answer
  • F(x)=(x-2)^2<br><br> Evaluate for f(5)<br><br> Need Answers ASAP
    14·2 answers
  • I need help with 3 B please!
    13·1 answer
  • Which of the following equations has a graph that crosses the y-axis at a point lower than y=2x^2-1
    12·1 answer
  • Which shape can be classified as a rectangle? Rhombus Square Trapezoid Parallelogram (1 answer choice)
    11·2 answers
  • Jane's bank account grew from $2175 to $2262. what was the percent increase in her account
    11·2 answers
  • PLEASE HELP ASAP!!
    13·2 answers
  • Ernie played 35 soccer games this season. He won 28 games. Enter the
    13·2 answers
  • n the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled ap
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!