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2 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:

Talja [164]2 years ago

4 0

Answer:

0.15

Step-by-step explanation:

Independent Probabilities Formula

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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Step-by-step explanation:

USE PEMDAS

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8 0

2 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2036" id="TexFormula1" title="f(x)

Mars2501 [29]

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = x^2 + 12x + 36$

And we want to determine the value of:

$\displaystyle f^{-1}(225)$

Let this value equal a. In other words:

$\displaystyle f^{-1}(225) = a$

Then by the definition of inverse functions:

$\displaystyle \text{If } f^{-1}(225) = a\text{, then } f(a) = 225$

Hence:

$\displaystyle f(a) =225 = (a)^2 + 12(a) + 36$

Solve for a:

$\displaystyle \begin{aligned} 225 &= a^2 + 12a + 36 \\ \\ a^2 + 12a -189 &= 0 \\ \\ (a + 21)(a-9) &= 0\end{aligned}$

By the Zero Product Property:

$\displaystyle a + 21 = 0 \text{ or } a - 9 = 0$

Hence:

$\displaystyle a = -21 \text{ or } a = 9$

Thus, f(9) = 225. Consequently, f⁻¹(225) = 9.

In conclusion, our answer is B.

3 0

2 years ago

The mean of 4 scores is 27. If three of the scores are 18, 29, 43, find the sum of the scores.

elixir [45]

Answer:

90 plus what the other number is

Step-by-step explanation:

5 0

3 years ago

A person who is 3 m tall casts a shadow that is 6 m long. At the same time, a building

podryga [215]

Answer:

13.5 meters

Step-by-step explanation:

25 / 2 = 13.5

because if a human is 3 meters tall and cast 2 times the length of himself then if a building casts 25 meters then it should be 2 times less than its shadow.

6 0

2 years ago

Twice x plus 5 is the same as -12

Anastasy [175]

Answer:

Step-by-step explanation:

2x+5=-12

2x=-17

x=-8.5

8 0

2 years ago

Read 2 more answers