Condition (A) P(B/A) = y is true.
<h3>
What is probability?</h3>
- Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
To find the true condition:
If two events are independent, then:
Use formulas for conditional probabilities:
- Pr(A/B) = Pr(A∩B) / Pr(B)
- Pr(B/A) = Pr(B∩A) / Pr(A)
For independent events these formulas will be:
- Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)
- Pr(B/A) = Pr(B∩A) / Pr(A) = Pr(B) . Pr(A) / Pr(A) = Pr(B)
Now in your case, Pr(A) = x and Pr(B) = y.
- Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.y
Therefore, condition (A) P(B/A) = y is true.
Know more about probability here:
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The complete question is given below:
The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?
a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y
e. P(A and B) = x/y
The answer to this is
<span>Mixed Numbers to Fractions uses circle models to demonstrate how a number in mixed form can be renamed in fraction form. The illustration below was made by Mixed to Fraction with Circles Designer. It shows the mixed number 2 2/5. You are to write 2 2/5 in fraction form, with only a numerator and denominator.</span>
It is quite simple really
Hope It Helps
Answer:

Step-by-step explanation:
The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,

Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.

Substitute,

Inverse operations,

Simplify,

There are no solutuons listed (says which of the following). My answer below should be in the list to choose from.
7 - 4x ≥ 35
subtract 7 from both sides
-4x ≥ 28
divide both sides by -4 AND change the direction of the inequality sign because we're dividing by a negative
x ≤ -7
CHECK:
7 - 4x ≥ 35
7 - 4(-7) ≥ 35
7 + 28 ≥ 35
35 ≥ 35
ANSWER: x ≤ -7
Hope this helps! :)
Y is equal to 21 and x is equal to 10