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
inna [77]
4 years ago
10

Discuss the validity of the following statement. If the statement is always​ true, explain why. If​ not, give a counterexample.

If Upper P (Upper E )plus Upper P (Upper F )equals Upper P (Upper E union Upper F )plus Upper P (Upper E intersect Upper F )​, then E and F are mutually exclusive events.
Mathematics
1 answer:
Zigmanuir [339]4 years ago
3 0

Answer:

P(E \cup F)=P(E)+P(F).

Step-by-step explanation:

Given the statement

If P(E)+P(F)=P(E \cup F)+P(E \cap F), then E and F are mutually exclusive events.

If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.

Therefore, the statement is always true as P(E∩F)=0

For mutually exclusive events:

P(E \cup F)=P(E)+P(F).

You might be interested in
What is the vertical asymptote of f(x)=3/x+5
Rudiy27

Answer:

X = -5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please im begging you guys please please do it for me please
Tasya [4]

When Jamie has $200 to purchase skateboard equipment, he will have spent more than 50 percent.

<h3>How to calculate the percentage?</h3>

From the information given, the total amount spent will be:

= $100 + $60 + $30 + $20 + $20 + $50 + $115

= $395

Since Jamie has $200 to purchase skateboard equipment, the percentage will be:

= 200/395

= 0.51

= 51%

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

6 0
2 years ago
You deposit $500 in an account that earns 4% simple annual interest entrance and each year is added to the principal to create a
ikadub [295]

Answer:

first year $20 second year $20.80 Third year $21.63

Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.

4 0
3 years ago
If Lisa earns $45 in 7.5 hours, find her unit rate in dollars per hour.
MakcuM [25]

Answer: lisa earns 6 dollars per hour

Step-by-step explanation:

45 divided by 7.5 =6

5 0
3 years ago
Read 2 more answers
Find the surface area of the cylinder and round to the nearest tenth. (It is recommended that you use the π button on your calcu
elena-s [515]

The surface area of the cylinder is 18.84 square feet

<h3>How to determine the surface area?</h3>

The given parameters are

Height, h = 2 ft

Diameter, d = 2 ft

The radius (r) is half of the diameter (d)

This is calculated as:

Radius = Diameter/2

So, we have:

r = d/2

Substitute 2 for d

r = 2/2

Evaluate the quotient i.e. divide 2 by 1

r = 1

The surface area is then calculated using the following formula

A = 2πr² + 2πrh

Substitute the given values in the above equation

So, we have:

A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2

Evaluate the exponents

A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2

Evaluate the products

A = 6.28 + 12.56

Evaluate the sum

A = 18.84

Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet

Read more about surface area at:

brainly.com/question/2835293

#SPJ1

4 0
2 years ago
Other questions:
  • What is 51.886 rounded to
    9·2 answers
  • Please answer quickly!!!
    15·1 answer
  • If a figure is dilated by a factor of 6 , the perimeter of the figure will change by a factor of ?
    13·1 answer
  • What is the purpose of testing whether β1 = 0? The purpose of testing whether β1 = 0 is to determine whether or not the mean of
    8·1 answer
  • A hotel must increase its price by 5% per night, if the new price is $168 per night. What was the original cost?
    7·1 answer
  • Bruce is going grocery shopping. he can go to the deli, the bakery, and the dairy section. How many possibilities are there for
    8·1 answer
  • What is the value of the function when x = –4?
    6·1 answer
  • Sofia lives in a $105,000 brick house in the suburbs with contents valued at
    7·1 answer
  • I need help please help me ;-;
    14·2 answers
  • Find the height of the triangle. Round the answer to one decimal place.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!