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
matrenka [14]
3 years ago
14

Given that events A and B are mutually exclusive, i.e., A?B = ? and P(A?B) =0, and that P(A)=0.7 and P(B)=0.2, find P(A or B).

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

P(A or B)= P(A \cup  B) = 0.9

Step-by-step explanation:

given ,      P(A)=0.7    P(B)=0.2

                   P(A or B) = P(A \cup  B) =0

since it is mutually exclusive event ,  P(A and B)= P(A \cap B) =P(A?B) = 0

           P(A \cup  B) = P(A) + P(B) - P(A\cap B)

            P(A \cup  B) = 0.7 + 0.2 - 0

            P(A \cup  B) = 0.9

   

You might be interested in
Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92
mash [69]

Answer:

S.D = 15.98

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

Mean = \frac {\sum x}{n}

Where x-> 76,45,64,80,92 and n = 5

Mean = \frac {76+45+64+80+92}{5}

Mean = \frac{357}{5}

Mean = 71.4

Subtract Mean (71.4) from each of the given data

76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6

Determine the absolute value of the above result

|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6

Square Individual Result

4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36

Calculate the mean of the above result to give the variance

Mean = \frac {\sum x}{n}

Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298

Hence, Variance = 255.298

Standard Deviation is calculated by \sqrt{Var}

SD = \sqrt{255.298}

S.D = 15.9780474402

S.D = 15.98 (Approximated)

6 0
3 years ago
A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9  - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² -  (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0
3 years ago
Your 2-liter bottle of Urikium, which has a half-life of 72 days, gets spilled on your parents rug. How much will remain in the
Korvikt [17]

Answer:

291.63 ml

Step-by-step explanation:

200/72 2.7778 half lives

(1/2)^2.77777 =   .1458        or    291.63 ml

4 0
2 years ago
What is the greatest common factor 6c^5 15c^6
Sholpan [36]
3c^5

The greatest number that goes into both 6 and 15 is 3, and both values of c have at least c^5.

hope this helps :)
4 0
3 years ago
Please help me out ...
fgiga [73]

Angle1 = 90 degrees

Angle2 = 15 degrees

Angle3 = 75 degrees (because 180-15-90=75 and all angles equal 180 degrees)

Side1 = 300

Side2 = x (unknown)

Solve for x:

X / sin(15degrees) = 300 / sin(75degrees)

X = (300•sin(15degrees)) / sin(75degrees)

X = 80.38...

= 80

8 0
3 years ago
Other questions:
  • 2.2 * 10^-2 * 4 * 10^4 i need help asap im really confused
    5·1 answer
  • Solve the system of equations:<br> y = 2x + 1<br> y = x2 + 2x - 8
    6·1 answer
  • Reduce then calculate 7/8 x 4/15 x 3/7 = ? <br><br> Can you help?
    5·1 answer
  • A. None<br> B. One <br> C. Two<br> D. Three or more
    11·2 answers
  • HELP!!!!!!!!! THIS IS DUE TOMMOROW!!!!!
    5·1 answer
  • (-3)^3 Evalute<br> ,,,,,,,,,,,,,,,
    9·1 answer
  • What is 358 Divied by 60 pls help me help
    15·1 answer
  • LisaLisa​, an experienced shipping​ clerk, can fill a certain order in 1010 hours. BillBill​, a new​ clerk, needs 1111 hours to
    5·1 answer
  • Given the following kite find:
    6·1 answer
  • Which of the following is equivalent to C(16, 4)?<br> A. 12<br> B. C(16, 12)<br> C. C(15, 3)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!