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
Margaret [11]
3 years ago
13

A machine produces small cans that are used for baked beans. The probabil- ity that the can is in perfect shape is 0.9. The prob

ability of the can having an unnoticeable dent is 0.02. The probability that the can is obviously dented is 0.08. Produced cans get passed through an automatic inspection machine, which is able to detect obviously dented cans and discard them. What is the probability that a can that gets shipped for use will be of perfect shape?
Mathematics
1 answer:
Elis [28]3 years ago
8 0

Answer:

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Shipped for use

Event B: Perfect shape

Probability of being shipped for use:

Perfect shape(0.9 probability) or unnoticeable dent(0.02 probability). So

P(A) = 0.9 + 0.02 = 0.92

Being shipped for use and being in perfect shape.

0.9 probability, so P(A \cap B) = 0.9

What is the probability that a can that gets shipped for use will be of perfect shape?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.9}{0.92} = 0.9783

0.9783 = 97.83% probability that a can that gets shipped for use will be of perfect shape

You might be interested in
Wesley willed his estate to Margaret,
DiKsa [7]

Answer:

1,100,000

Step-by-step explanation:

20000 + 22(20000) + 32 (20000)= 55 (20000)= 1,100,000

4 0
2 years ago
Read 2 more answers
All functions have a domain and a range.<br> True<br> False
Elza [17]

Answer:

True

Step-by-step explanation:

The definition of the function is a relation with exactly one x for each y. x is the domain, and y is the range, so all functions have a domain and a range.

6 0
3 years ago
The weight of a bull clad is 388 kilograms. If it’s weight increases at a rate of 1 2/5 kilograms per day how long it will take
Alex73 [517]

Answer:

It will take  <u><em>80 days</em></u>  for the bull calf to reach a weight of 500 kilograms.

Step-by-step explanation:

Given:

The weight of a bull calf is 388 kilograms.

Now, to find the weight of bull calf of how long it will take to reach a weight of 500 kilograms, if it’s weight increases at a rate of 1 2/5 kilograms per day.

Required weight which to be increased = 500 - 388 = 112 kilograms.

Rate of weight increase = 1\frac{2}{5}=\frac{7}{5}

                                        = 1.4\ kilograms.

Thus, the time required = \frac{required\ weight}{rate\ of\ weight}

                                        = \frac{112}{1.4}

                                        = 80.

<em>The time required   =    80 days</em>.

Therefore, it will take 80 days for the bull calf to reach a weight of 500 kilograms.

5 0
3 years ago
X - 2y = 2 3x + 3y = 24
Alona [7]
Answer : yes



Explanation yes
6 0
2 years ago
Read 2 more answers
The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r ​
dusya [7]

Answer:

r=\frac{14}{3}

Step-by-step explanation:

Set up an equation and solve for r using the formula for slope:

\frac{5-7}{r-4}=-3\\ \\-2=-3(r-4)\\\\-2=-3r+12\\\\-14=-3r\\\\\frac{14}{3}=r

7 0
2 years ago
Other questions:
  • Two numbers have a sum of 44. The larger number is 2 more than the smaller number. What is the smaller number?
    11·1 answer
  • a group consisted of 2 girls for every boy. 24 girls joined the group. there are now 5 girls for every boy. how many boys are in
    7·2 answers
  • Can I get help with this
    15·1 answer
  • -8<br><img src="https://tex.z-dn.net/?f=%20-%208%20%5Cgeqslant%203%20%2B%20h2" id="TexFormula1" title=" - 8 \geqslant 3 + h2" al
    5·1 answer
  • Please help me ASAP
    7·1 answer
  • Jessica wants to donate $23 of her paycheck from Peter Piper Pizza. She made $168 on her paycheck. What percentage of her payche
    7·1 answer
  • Graph the description of each line A line has a slope of -3 and a y-intercept of 3.
    7·2 answers
  • Use gcf and distributive property to find 64 + 56
    11·1 answer
  • Solve algebraically 16 = 64 - 32t
    8·2 answers
  • Please can someone help with rearranging formulae? Will mark brainliest!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!