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mixer [17]
3 years ago
11

2.1.PS-8

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

7.29

Step-by-step explanation:

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P(A) = 20%. P(B) = 50%. P(BIA) = P(B). What is P(A and B)?
8_murik_8 [283]

Answer:

P(A and B) = 0.1 = 10%

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, we have that:

P(A) = 0.2, P(B|A) = 0.5

What is P(A and B)?

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

P(A \cap B) = P(B|A)*P(A) = 0.5*0.2 = 0.1

P(A and B) = 0.1 = 10%

8 0
3 years ago
To complete a task in 16 days a company needs
o-na [289]

Answer:

15 days

Step-by-step explanation:

Total hours required =

16×5×6 = 480

Let n be the no. of days

480 = n×8×4

480 = 32n

n = 480/32

n = 15

8 0
3 years ago
Find the value of x in this screenshot
KIM [24]

Answer:

X=24

Step-by-step explanation:

3x+5+2x-4+2x+11=180

7x+12=180

7x=180-12

7x=168

7x/7=168/7

x=24

5 0
3 years ago
hello! I need some help, this is one of my review problems and I don't remember how to do it! So assistance would be appreciated
ladessa [460]

Answer:

  (2x^3)(3x^3 +2x +5)

Step-by-step explanation:

The key words here are "greatest common factor." They have their usual English meanings. A common factor is one that is a multiplier in every term, so you need to look to see what those are. The "greatest common factor" is the largest common factor you can find.

  first term: 2·3·x·x·x·x·x·x

  second term: 2·2·x·x·x·x

  third term: 2·5·x·x·x

A common factor is a factor that is on every list. I have shown them in bold. Once the common factor is factored out, the remaining factors are summed according to the distributive property.

 6x^6 +4x^4 +10x^3 = (2x^3)(3x^3 +2x +5)

_____

Of course you recognize that each of the coefficient numbers is even. That means they are all divisible by 2. So, you know right away that 2 is a common factor.

There are powers of x in every term. The lowest power of x is x^3, and all the other powers are higher, so you know that x^3 will be a common factor, too. Having got this far, you can factor out 2x^3 and see if any of the remaining terms seem to have anything in common. They don't.

4 0
3 years ago
Which of the following activities are examples of data gathering?
Digiron [165]
B and D
I think. let me know if it is correct.
7 0
3 years ago
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