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Juliette [100K]
3 years ago
5

A and B are independent events. P(A)=0.80 and P(B)=0.10

Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

P(A and B) = 0.08

So, Option D is correct.

Step-by-step explanation:

Since the events are independent

so, the formula used to find  P(A and B) is

P(A and B) = P(A) * P(B)

We are given:

P(A)= 0.80

P(B) = 0.10

Finding  P(A and B)

P(A and B) = P(A) * P(B)

P(A and B) =0.80 * 0.10

P(A and B) = 0.08

So, Option D is correct.

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3 years ago
What is the factor of 6a2 – 19a + 10 ???
Dimas [21]

Answer:

(2a - 5) • (3a - 2)

step by step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 6 • 10 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -19 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

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Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -4

6a2 - 15a - 4a - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

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Add up the last 2 terms, pulling out common factors :

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Step-5 : Add up the four terms of step 4 :

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Which is the desired factorization

Final result :

(2a - 5) • (3a - 2)

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