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
Daniel [21]
3 years ago
10

In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25

. Use the equation P(AUB)=P(A) + P(B) - P(ANB), where A and B are any events, to compute the probability that the number drawn is prime or greater than 12.
The probability that the number drawn is prime or greater than 12 is : ___________
Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Answer:

17/25

Step-by-step explanation:

The equation for the probability of two events that are not mutually exclusive is:

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

A = the number is prime

B = the number is prime

The numbers are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Here are the 8 prime numbers that satisfy event A:

3, 5, 7, 11, 13, 17, 19, 23

p(A) = 8/25

Here are the 13 numbers that are greater than 12 that satisfy event B:

13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

p(B) = 13/25

Here are the 4 numbers that satisfy both event A and event B:

13, 17, 19, 23

p(A ∧ B) = 4/25

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

p(A ∨ B) = 8/25 + 13/25 - 4/25

p(A ∨ B) = 17/25

You might be interested in
The wingspan of a small plane is 7 meters. If there are approximately 3.28 feet in one meter, what is the wingspan of the plane
Neko [114]
The answer is 23 ...

Take 3.28 and add it to itself 6 more times to get 22.96
rounded up is 23 :) Hope I could be of assistance.
8 0
3 years ago
Read 2 more answers
Two feet is what percent of a yard
KengaRu [80]
Two feet is 66.67% of a yard.

This is because a yard is three feet, and two feet is two-thirds of three feet.

Two-thirds of 100 is 66.67, making two feet 66.67% of a yard.

I hope this helps.
7 0
3 years ago
Perform the operation.<br> (-10x² + 9) + (8x2 – 5x + 7)<br> HELP ASAP PLS
Ilia_Sergeevich [38]

Answer:

-2x² - 5x + 16

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

(-10x² + 9) + (8x² - 5x + 7)

<u>Step 2: Simplify</u>

  1. Combine like terms (x²):                                                                                  -2x² + 9 - 5x + 7
  2. Combine like terms (Z):                                                                                   -2x² - 5x + 16
5 0
3 years ago
Questions 2 &amp; 4 please help me
Andreas93 [3]
2. He can break his strand of 10 blocks into 3 3 times 4. I think it is 74 blocks are needed.
4 0
3 years ago
Assume that x is a char variable has been declared and already given a value. Write an expression whose value is true if and onl
Lorico [155]

Answer:

bool b = isupper(x);

Step-by-step explanation:

I have written the expression for a char variable x.The isupper(x) will return true if the character x is upper case and false if the character x is lower case.

I have stored the returned value to a bool variable b .So the value of variable b will be true only when the x is in uppercase and false when b is lower case.

4 0
3 years ago
Other questions:
  • Consider the following three bond quotes: a Treasury bond quoted at 106:30, a corporate bond quoted at 96.25, and a municipal bo
    8·1 answer
  • ASAP PLEASE HELP FAST Question 3 from the video on Box Plots? *
    5·1 answer
  • What is the rate of change of the amount earned with respect
    12·1 answer
  • Jeanne makes hair bows to sell at the craft fair. Each bow requires 1.5 yards of ribbon.
    6·1 answer
  • Area and perimeter to find the length of it
    8·2 answers
  • 5 points
    9·1 answer
  • Compare and contrast 2d and 3d shapes
    8·2 answers
  • Black Diamond Ski Resort charges $25 for ski rental and $10 an hour to ski. Bunny Hill Ski Resort charges $50 for ski rental and
    12·2 answers
  • Simplify completely x2 + 4x - 45/x2 +10x+9 and find the restrictions on the variable.
    13·1 answer
  • Which expression has a coefficient of 7?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!