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mixer [17]
3 years ago
13

Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Answer:

x>3

Step-by-step explanation:

We are given with the inequation 3(8-4x) < 6(x - 5)

Dividing both sides in the above in equation by 3 we get

(8-4x)<2(x-5)

Distributing 2 over (x-5)

(8-4x)<2x-10

8-4x<2x-10

adding 10 and 4x on both hand sides we get

8+10<2x+4x

18<6x

Dividing both sides by 6 we get

3<x

Hence the solution to the given in equation is x>3

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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:

  • Pr(A∩B) = Pr(A) . Pr(B)

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:

brainly.com/question/25870256

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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

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Answer:

Step-by-step explanation:

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6 0
3 years ago
Please help if you understand!! I hope everyone has a great day or is having a great day​
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Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.

180-(90+40)=  180-130=50.

Therefore, the vertical angles measurement is equivalent to 50 degrees.

Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.

180-(50+25)= 180-75=105

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I hope you are having a great day too;)!

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