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ikadub [295]
3 years ago
9

There are two boxes containing red and blue balls. For box A, there are 3red balls and 7blue balls. For box B, there are 6red ba

lls and 4blue balls. Now randomly pick up one ball from the two boxes, and the selected ball is red. What is the probability that this red ball is from box A
Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0

Answer:

0.3333 = 33.33% probability that this red ball is from box A.

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: Red ball

Event B: From box A.

Probability of a red ball:

3/10 = 0.3 of 1/2 = 0.5(box A)

6/10 = 0.6 of 1/2 = 0.5(box B). So

P(A) = 0.3*0.5 + 0.6*0.5 = 0.45

Probability of a red ball from box A:

0.3 of 0.5, so:

P(A \cap B) = 0.3*0.5 = 0.15

What is the probability that this red ball is from box A?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.45} = 0.3333

0.3333 = 33.33% probability that this red ball is from box A.

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What is (x+6)(x+4)(x-3) expand and simplify
mestny [16]

Answer:

x³ + 7x² - 6x - 72

Step-by-step explanation:

Given

(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is

(x + 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 4(x - 3) ← distribute both parenthesis

= x² - 3x + 4x - 12 ← collect like terms

= x² + x - 12

Now multiply this by (x + 6) in the same way

(x + 6)(x² + x - 12)

= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis

= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms

= x³ + 7x² - 6x - 72

7 0
3 years ago
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Vera_Pavlovna [14]
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and you get that answer by combining like terms, Good Luck! 

8 0
3 years ago
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KengaRu [80]

Answer:

B and D

Step-by-step explanation:

Take a look at all the options x=4, 3, 1, 2 > 0

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victus00 [196]

Answer:

D. 15 by 10.5

Step-by-step explanation:

If the original painting has dimensions of 5 by 3.5, and has a scale factor of 1, then if we are trying to find the dimensions of the same thing but with a scale factor of 3, then we need to multiply the dimensions by 3.

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The new dimensions are 15 by 10.5.

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