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3 years ago

Suppose a and b are independent events if p(a/b)=.25 and p(b)=.6 what is P(AnB)?

Mathematics

1 answer:

artcher [175]3 years ago

7 0

Answer:

C) 0.15

Step-by-step explanation:

<u>Independent Probabilities Formula</u>

P(A | B) = P(A) = P(A ∩ B) ÷ P(B)

P(A | B) = 0.25

P(A) = 0.25

P(B) = 0.6

If P(A) = P(A ∩ B) ÷ P(B)

P(A ∩ B) = P(A) × P(B)

P(A ∩ B) = 0.25 × 0.6

P(A ∩ B) = 0.15

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Find the appropriate answer for each word problem.

satela [25.4K]

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4 years ago

Which expression is equivalent to the expression below? StartFraction m + 3 Over m squared minus 16 EndFraction divided by Start

Kamila [148]

Option B: $\frac{1}{(m-4)(m-3)}$ is the correct answer.

Explanation:

The given expression is $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$

Simplifying the expression, we have,

$\frac{m+3}{m^{2}-16}\times\frac{m+4}{m^2-9}$

Factor the equations, $m^{2}-16\right$ and $m^{2}-9$ ,we get,

$m^{2}-16\right=m^{2}-4^{2}=(m+4)(m-4)$

$m^{2}-9=m^{2}-3^2=(m+3)(m-3)$

Substituting these factored expressions in the above expression, we have,

$\frac{m+3}{(m+4)(m-4)}\times\frac{m+4}{(m+3)(m-3)}$

Cancelling the common terms $m+3$ and $m+4$ , we get,

$\frac{1}{(m-4)(m-3)}$

Thus, the expression equivalent to $\frac{(\frac{m+3}{m^2-16}) }{(\frac{m^2-9}{m+4} )}$ is $\frac{1}{(m-4)(m-3)}$

Hence, Option B is the correct answer.

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3 years ago

Read 2 more answers

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Gnesinka [82]

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3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B10%7D%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20%5C%5C" id="TexFormula1" title="\frac{y

Andru [333]

Y is 15 :)

Explanation:
If you divide 3/2, you get 1.5. 15/10 is also get 1.5

Another way of doing this is by cross multiplying. Multiply 3 by 10 to get 30 on the right side of the equation. Multiply 2 by y to get 2y. Then divide both sides by 2 and you get y = 15.

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3 years ago

PLEASE PLEASE HELP!!!!!

kodGreya [7K]

We need 6.5% to a decimal so..
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3 years ago