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fenix001 [56]
3 years ago
11

Choose all which define events A and B as independent events.

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

There are 2 answers: Choice 1, Choice 4

=======================================

Why is this? Because we use the rule

P(A & B) = P(A) * P(B)

which only works if events A and B are independent

----

For the first answer choice,

P(A) * P(B) = 0.6*0.4 = 0.24 = P(A & B)

so that matches.

The same applies to the fourth answer choice as well

P(A) * P(B) = 0.3*0.2= 0.06 = P(A & B)

----

The other answer choices don't match up.

The second answer choice has

P(A) * P(B) = 0.3*0.4 = 0.12 but that doesn't match with the 0.70 given

Similarly for the third answer choice,

P(A) * P(B) = 0.5*0.1 = 0.05 which doesn't match with the 0.60

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(57x2:3)+32x450-[39-(4+2):2[+8=
tigry1 [53]

Answer:

57×2/3+32×450-[39-4+2]/2+8

57×2/3+32×450-(39-6/2)+8

57×2/3+32×450-36+8

57×2/3+14400-28

57×2/3+14372

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14410

8 0
2 years ago
What is the greatest common factor of 90, 126, 180 and 990?
mylen [45]

9514 1404 393

Answer:

  18

Step-by-step explanation:

90 = 18·5

126 = 18·7

180 = 18·10

990 = 18·55

The greatest common factor of these numbers is 18.

__

<em>Comment on the GCF</em>

It can be useful to know Euclid's algorithm for finding the GCF:

  1. Determine the remainder from dividing the larger number by the smaller.
  2. If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.

For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)

3 0
3 years ago
I need helping solving this
olchik [2.2K]

Answer: x= 5

Step-by-step explanation:

Plug the second equation into the first equation’s y.
3x-2(-2x+7)=21

Then use distribution

3x+4x-14=21

Add 4x and 3x

7x-14=21

Then add 14 to both sides

7x=35

Divide by 7 to get x

35/7=5

x=5

8 0
2 years ago
Jillian receives a $30 gift card to use at a movie theater. She spends $11 on her movie ticket and she wants to spend the remain
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2, 3, and 5.
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4 years ago
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The simplified version of this equation would be

-x + y
3 0
3 years ago
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