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Greeley [361]
2 years ago
8

What is the probability that the manufacturing unit has carbon emission beyond the permissible emission level and the test predi

cts this? a. 0.2975 b. 0.0525 c. 0.0975 d. 0.5525 e. 0.6325
Mathematics
1 answer:
Hitman42 [59]2 years ago
5 0

The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:

a. 0.2975.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula 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 problem, we have that the events are as follows:

  • Event A: Carbon emission beyond the permissible emission level.
  • Event B: Test predicts this.

We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:

P(A) = 0.35, P(B|A) = 0.85

Then:

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

0.85 = \frac{P(A \cap B)}{0.35}

P(A \cap B) = 0.85(0.35) = 0.2975

Which means that option a is correct.

More can be learned about conditional probability at brainly.com/question/14398287

#SPJ4

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Brianna paid $350 for a rug. The price of the rug that Bill purchased was 2/5 the price that Brianna paid. How much did Bill pay
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4 years ago
Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes four poems by Shakespeare
Tresset [83]
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.

So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.

At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39

The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
6 0
4 years ago
PLEASEE HELPPPP IVE BEEN WAITING FOR HOURS!!!!!
kozerog [31]

Answer:

The perimeter is 32\sqrt{7} cm.

Step-by-step explanation:

Perimeter is found by adding all sides of the triangle together. So, this is what we need to find: 8\sqrt{7}+4\sqrt{63}+6\sqrt{28}

  • Only <u>like radicals</u> can be added or subtracted from one another. They'll have the same root number (which seems to be true for this question) as well as the radicand, which is the number/expression under the radical.

Look at the number under the radical: 7, 63, and 28. These numbers all share a factor of 7:        7/7 = 1,          63/7 = 9,         28/7 = 4.

Notice how 9 and 4 are perfect squares, so we can simplify the radicals using this common factor of 7.

8\sqrt{7} remains the same;    4\sqrt{63}=4\sqrt{9(7)} =4(3)\sqrt{7}=12\sqrt{7}; and

6\sqrt{28}=6\sqrt{4(7)}=6(2)\sqrt{7}=12\sqrt{7}. Now they are like radicals and can be added!

8\sqrt{7}+12\sqrt{7}+12\sqrt{7}=32\sqrt{7}

3 0
2 years ago
Emma tried to write and equation of the linear table but made an error
Lady bird [3.3K]

Answer:

The correct answer is (-3,-1) (0,5) (3,11)

Step-by-step explanation:

Emma's mistake was flipping her y-values, 11 matches with 3, not -3. The most likely reason she did this was accidentally making the slope negative. The table she wrote fits the line y=-2x+5. If you plug in -3 into the correct equation you will get -1 and 3 will get you 11.

4 0
3 years ago
Read 2 more answers
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