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
Tatiana [17]
3 years ago
10

1. A company produces batteries. On average, 85% of all batteries produced are good. Each battery is tested before being dispatc

hed, and the inspector correctly classifies the battery 90% of the time.
A. What percentage of the batteries will be “classified as good”?
B. What is the probability that a battery is defective given that it was classified as good?
(3+3=6 marks)
Mathematics
1 answer:
pogonyaev3 years ago
7 0

Answer:

A. 78%

B. 1.92%

Step-by-step explanation:

Given the information:

  • 85% of all batteries produced are good
  • The inspector correctly classifies the battery 90%

A. What percentage of the batteries will be “classified as good”?

The percentage of batteries are not good is:

100% - 85% = 15% and of those 100-90 = 10% will be classified as good. Hence, we have:

= 0.85*0.9 + 0.15*0.1 = 0.78

= 78%

So 78% of the batteries will be “classified as good”

B. What is the probability that a battery is defective given that it was classified as good?

We will use the conditional probability formula in this situation:

P(B|A) = \frac{P(A \cap B)}{P(A)} where:

  • P(A) is the probability of A happening. (A is classified as good) => P(A) = 78%
  • P(B|A) is the probability of event B happening, given that A happened. (B classified as detective)
  • P(A \cap B) is the probability of both events happening => P(A \cap B) = 0.15*0.1 = 0.015 (5% of the batteries are not good. Of those, 100-90 = 10% will be classified as good)

We have:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.015}{0.78} = 0.0192 = 1.92%

Hence, 1.92% probability that a battery is defective given that it was classified as good

You might be interested in
Which value for x makes the sentence true?<br><br> 2.45 + x = 3.64
Scrat [10]

Answer:

1.19

Step-by-step explanation:

You're trying to figure out what x is here.

So you'll want to isolate the x. That means, get it alone.

Since both sides are equivalent, when you subtract 2.45 from the x side, you also subtract it from the other side too.

x = 3.64 - 2.45

x = 1.19

7 0
3 years ago
Read 2 more answers
Hello whats is the size of the angle
Gennadij [26K]

Answer:

x = 65°

Step-by-step explanation:

The interior angle of the triangle and 140° are adjacent and supplementary, thus

interior angle = 180° - 140° = 40°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

105° is an exterior angle of the triangle, thus

x + 40° = 105° ( subtract 40° from both sides )

x = 65°

4 0
3 years ago
Read 2 more answers
A basket holds 9 quarts of berries. How many baskets will 345 quarts fill? How many quarts will be left over?
azamat
38r3the answer is please give me the brainelist, and thanks
4 0
3 years ago
Please help with this! Show how you got it!!! Will mark brainliest!!
Ghella [55]

Answer:

sum of interior angles of octagon is 1080 degrees

From figure ,

136 + 132 + 129 + 116 + 158 + 141 + 124 + x = 1080

so, x = 1080 - 936

        = 144

Step-by-step explanation: Simply add the angles and substract the sum from 1080 which is the sum of interior angles of octagon

8 0
3 years ago
Read 2 more answers
Talia is writing a coordinate proof to show that the diagonals of a square are perpendicular. Which sentence describes what Tali
AfilCa [17]

Answer:

D.

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.

In option D, since the slopes are 1 and -1, their product is -1, and the lines are perpendicular.

Answer: D.

3 0
1 year ago
Other questions:
  • Write a division problem that has a 3 digit dividend and a divisor between 10 and 20
    12·1 answer
  • Which of the following functions is not a linear function?
    14·1 answer
  • What is the measure of AC ?<br><br> Enter your answer in the box.<br><br><br> °
    13·2 answers
  • a bucket contains 5 green balls, 2 yelllow balls, 6 red balls, 8 blue balls. You remove 4 balls, without replacement from the bu
    11·1 answer
  • Rana sells 192 cakes in the ratio small: medium: large = 7 : 6 : 11.
    15·1 answer
  • Write the next three terms of the arithmetic sequence.
    13·2 answers
  • The sale price of a model railroad set is $174. If it was marked down to 25% off of the original price, what was the original pr
    5·2 answers
  • What is the expressions to 2 2 _ 7
    10·1 answer
  • The skateboard that Larry wants to purchase normally sells for $84. During a sale, he can receive a 15% discount on the skateboa
    8·1 answer
  • Does anyone know this one ?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!