Consider a situation in which P(X) = and P(Y) = . If P(X and Y) is = , which best describes the events?They are independent because P(X) · P(Y) = P(X and Y).
They are independent because P(X) + P(Y) = P(X and Y).
They are dependent because P(X) · P(Y) = P(X and Y).
They are dependent because P(X) + P(Y) = P(X and Y).

Answers

Answer 1

Answer:

Answer:

They are independent because P(X) · P(Y) = P(X and Y).

Step-by-step explanation:

Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. This means that the probability of both events happening is equal to the product of the probabilities of each event happening individually.

In the given situation, we have:

P(X) = 1/2

P(Y) = 1/2

P(X and Y) = 1/4

If we calculate the product of P(X) and P(Y), we get:

P(X) · P(Y) = 1/2 · 1/2 = 1/4

This is equal to P(X and Y), which means that the events X and Y are independent.

P(X) + P(Y) = P(X and Y) is not a necessary condition for independence. For example, the events of flipping a coin and rolling a die are independent, but P(X) + P(Y) ≠ P(X and Y).

Therefore, the best description of the events is that they are independent because P(X) · P(Y) = P(X and Y).

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A soldier drinks 2/9 of a liter of water a day. How many liters will he need for 14 days

Answers

Answer:

28/9

Step-by-step explanation:

14/1 * 2/9

Answer:

3.108

Step-by-step explanation:

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If a vector A⃗ has the following components, use trigonometry to find its magnitude and the counterclockwise angle it makes with the +x axis: Ax = 9.00lb , Ay = 5.00lb

Answers

The vector magnitude is 10.29lb and the vector direction is 150.9⁰.

Vector:

As per the given question:

$Ay = 5.00 \ lb\n\nAx = 9.00 \ lb\n\n$

To find:

magnitude and direction=?

Solution:

Vector representation of the given value:

$\to (9i + 5j)$

Calculating the vector magnitude:

$\to √((9)^2 +(5)^2)\n\n \to √(81+25)\n\n \to √(106) \n\n\to 10.29 \ lb$

Calculating the vector direction:

When $90 < \theta < 180$

Let's solve the value for $\theta\n\n$

$\tan \theta = (y)/(x)\n\n\tan \theta = (5)/(9)\n\n\tan \theta =0.555\n\n\theta = \tan^(-1)(0.555555556) \n\n\theta= 29.1^(\circ)\n\n$

$\sin \theta$ lies in the second quadrant,

$\to \theta = 29.1^(\circ) = 180 -29.1 = 150.9^(\circ)\n\n$

Find out more information about the angle here:

brainly.com/question/24797859

What is the maximum value of the function f(x)= 12 - 3sin (3pi/2 x)

Answers

The lowest value of sinα is -1.

When x=1, you get:

$f\left( x \right) =12-3\sin { \left( \frac { 3 }{ 2 } \pi \right) } \n \n =12-3\left( -1 \right) \n \n =12+3\n \n =15$

So the maximum value of the function is 15.

f(x) = 12 - 3sin(3π/2x)
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Square QRST has vertices Q(2,8),R(-4,8),S(-4,2),and T(2,2) and triangle QTU has vertices Q(2,8),T(2,2) and U(6,2) What is the area of the quadrilateral formed by the square and the triangle?

Answers

Here is how you do it:
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Yeah I don’t get this

Answers

using pythagorean theorem

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(12x)^2 + (16x)^2 = 10^2

square each term

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take the square root on each side

x = 1/2

Answer: x=1/2

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B.
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C.
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D.
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Answers

5x4x3x2x1 = 20 x 3 60x2 120x1 = 120 Answer is B 120

The answer is:
B. 120
5! Means 5 factorials >> 5 x 4 x 3 x 2 x 1 It's simply just the product of a series of descending natural numbers (no negative numbers or fractions) which are indicated by an exclamation point.
The answer is B. because 5x4= 20, 20x3 (next number to multiply in the series) =60, 60x2= 120, 120x1= 120.
I hope that helped (:

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