1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrew [12]
3 years ago
11

Determine if the events A and B are independent. Show all steps.

Mathematics
1 answer:
zmey [24]3 years ago
4 0

<u><em></em></u>

Answer:

P(A U B )  = \frac{13}{25}

Step-by-step explanation:

<u><em>STEP:-1</em></u>

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

<u><em>STEP:- 2</em></u>

P(A ∩B ) = P(A) P(B)

P(A U B) = P(A) +P(B) - P(A n B )

P(A U B ) = P(A) +P(B) - P(A) P(B)

<u><em>Step(iii):-</em></u>

<u><em></em></u>P(A U B ) = \frac{2}{5}  +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{25}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{15-2}{25} = \frac{13}{25}<u><em></em></u>

<u><em /></u>

<u><em /></u>

You might be interested in
Krusty Krab Is Unfair Trap Remix<br> THIS IS THE BEST TRAP REMIX BRO IS SWEAR
jeyben [28]

Answer: get it I guess

Step-by-step explanation:

3 0
3 years ago
Aiden reads a few books of his book on on day one.
const2013 [10]

Answer:

ok

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Add. Write fractions in simplest form.<br> 4-12 EVENS
Virty [35]
4. 1/3   6.-0.9 or -9/10    8. 2 1/3  10. -3.45   12.4.54 or 4 27/50
7 0
3 years ago
7. Is it proportional?
SCORPION-xisa [38]

Answer:

A unit rate is the rate of change in a relationship where the rate is per 1.

The rate of change is the ratio between the x and y (or input and output) values in a relationship.  Another term for the rate of change for proportional relationships is the constant of proportionality.

If the rate of change is yx, then so is the constant of proportionality.  To simplify things, we set  yx=k, where k represents the constant of proportionality.  

If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.

To find y in a direct variation equation, multiply x by the constant of proportionality, k.

For example: Given the relationship y=7x, the constant of proportionality k=7,  so if x=3,  then y=3×7 or 21.

Given the same relationship, if x=7,  then y=7×7, or 49.  

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can someone please help me on this question?​
yan [13]

Answer: q³⁰

Explanation:

First just solve the first part using the exponent rules

p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.

Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.

Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰

4 0
3 years ago
Other questions:
  • How do you find the area for this problem
    7·2 answers
  • Which expression has the value f 9/20
    13·1 answer
  • What is closer to 1 numbers :4/5 and 5/4
    14·1 answer
  • What is y+x+z= Please help someone!!!!!
    15·2 answers
  • Please help I dont understand
    11·1 answer
  • PLEASE HELP ME !! what is the measure of the missing angle of the triangle? Round your answer to the nearest degree.
    15·1 answer
  • PLEASE HELP ITS DUE TMR
    10·2 answers
  • S = n(a+1) for a <br><br> please answer asap
    14·1 answer
  • The function f(x) is graphed below. What is true about the graph on the interval from x=−∞ to x=a?
    14·2 answers
  • Tìm m để phương trình có 1 nghiệm duy nhất<br> x+2y-2z=2<br> 3x+7y-z=5<br> 2x+4y+mz=7
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!