Which number line represents the solutions to absolute value of -2x=4

An electronic system has three major circuit boards, A, B and C. These boards have respective software support in the ratio, (30

yKpoI14uk [10]

Answer:

30.77% probability that this failure is from A.

38.46% probability that this failure is from B.

30.77% probability that this failure is from C.

Step-by-step explanation:

Conditional probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

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:

30% probability of board A being chosen.

Board A has a 4% probability of failure.

30% probability of board B being chosen.

Board B has a 5% probability of failure.

40% probability of board C being chosen.

Board B has a 3% probability of failure.

For all these questions:

Event A: Failure

So

$P(A) = 0.3*0.04 + 0.3*0.05 + 0.4*0.03 = 0.039$

Probability that this failure is from A:

Event B: Board A is chosen.

Intersection:

Failure from board A:

$P(A \cap B) = 0.3*0.04 = 0.012$

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.012}{0.039} = 0.3077$

30.77% probability that this failure is from A.

Probability that this failure is from B:

Event B: Board B is chosen.

Intersection:

Failure from board B:

$P(A \cap B) = 0.3*0.05 = 0.015$

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.015}{0.039} = 0.3846$

38.46% probability that this failure is from B.

Probability that this failure is from C:

Event B: Board C is chosen.

Intersection:

Failure from board C:

$P(A \cap B) = 0.4*0.03 = 0.012$

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.012}{0.039} = 0.3077$

30.77% probability that this failure is from C.

3 0

2 years ago

Building A is 200 feet shorter than Building B. The total height of the two buildings is 1530 feet. Find the height of each buil

Delvig [45]

Answer:

B Building = 865 feet, A Building = 665 feet.

Step-by-step explanation:

If you divide 1530 by 2 you get 765, if you add 100 to 765, and subtract 100 from 865, there is a 200 feet difference from each of the buildings.

8 0

2 years ago

Answer Please VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV

mash [69]

Answer:

Step-by-step explanation:

$D =\left[\begin{array}{cc}8&-4\\-14&12\end{array}\right] -\left[\begin{array}{cc}-1&-15\\0&7\end{array}\right] \\\\\\\\=\left[\begin{array}{ccc}8+1&-4+15\\-14-0&12-7\end{array}\right]\\\\\\=\left[\begin{array}{ccc}9&11\\-14&5\end{array}\right]$

6 0

1 year ago

What is the volume of a cylinder, in cubic feet, with a height of 7 feet and a base

ruslelena [56]

Answer:

1781.29

Sorry, no explanations

6 0

2 years ago

(07.02) Simplify (3x − 5) − (4x + 6). (1 point) −x −11 x − 11 −x + 11 x + 11

swat32

(3x − 5) − (4x + 6)
to simplify combine like terms
= (3x - 4x) + (-5 - 6)
= -1x - 11 (same as -x - 11)

ANSWER: -1x - 11 (first choice)

Hope this helps! :)

3 0

2 years ago