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
Shalnov [3]
3 years ago
7

A Web ad can be designed from four different colors, three font types, five font sizes, three images, and five text phrases. A s

pecific design is randomly generated by the Web server when you visit the site. Let A denote the event that the design color is red and let B denote the event that the font size is not the smallest one. Use the addition rules to calculate the following probabilities.
P(AuB)
p(AuB')
P(A'uB')
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

Answer:

P(A∪B)=17/20 or 0.85

P(A∪B')=2/5 or 0.4

P(A'∪B')=4/5 or 0.8

Step-by-step explanation:

There are four font colors so each color had equal chance and thus,

P(A)=1/4

There are 5 font sizes and so not the smallest fonts are 4.Thus,

P(B)=4/5

P(A∪B)=P(A)+P(B)-P(A∩B)

The design is generated randomly so event A and event B are independent.

P(A∩B)=P(A)*P(B)

P(A∩B)=1/4(4/5)=1/5

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=1/4+4/5-1/5=1/4+3/5

P(A∪B)=17/20 or 0.85

P(A∪B')=P(A)+P(B')-P(A∩B')

P(B')=1-P(B)=1-4/5=1/5

P(A∩B')=P(A)*P(B')=1/4*1/5=1/20

P(A∪B')=P(A)+P(B')-P(A∩B')

P(A∪B')=1/4+1/5-1/20=9/20-1/20=8/20

P(A∪B')=2/5 or 0.4

P(A'∪B')=P(A∩B)'

P(A'∪B')=1-P(A∩B)

P(A'∪B')=1-1/5=4/5

P(A'∪B')=4/5 or 0.8

You might be interested in
It takes Hoai 20 minutes to walk to his friend's house 7/8 mile away.<br> What is his walking pace?
algol [13]

Step-by-step explanation:

To find her walking pace in 'miles per hour', we need to divide the distance (in miles) by the time (in hours)

speed

=

distance

time

The time is given in minutes, but

50

minutes =

50

60

hours

=

5

6

hours

1

2

3

÷

5

6

=

5

3

×

6

5

miles per hour

=

5

3

×

6

2

5

=

2

miles per hour

6 0
2 years ago
Read 2 more answers
The larger of two numbers is five more than the smaller number. If the sum of the numbers is 59, find the numbers
Andrews [41]

Answer:

27 and 32.

Step-by-step explanation:

Let the two numbers be A and B.

The larger number (let's use B) is 5 more than the smaller one (A). In other words:

B=5+A

Their sum is 59. So:

A+B=59

This is a system of equations. Solve by substituting the first equation into the second. Thus:

A+(5+A)=59

Combine like terms:

2A+5=59

Subtract 5 from both sides:

2A=54

Divide both sides by 2:

A=27

So, the smaller number is 27.

This means that the bigger number is 27+5=32.

So, the two numbers are 27 and 32.

And we're done!

4 0
2 years ago
SOMEONE PELASE HELP ME ASAP! I REALLY NEED HELP ASAP
Stells [14]
Answer: below in picture

explanation: also in picture

6 0
3 years ago
Hey guys I just wanted to put this out there-
tino4ka555 [31]

ok thank you so much for the info

5 0
3 years ago
How do I solve 5x=-4y+4;x=1,2,3
lesya692 [45]
X=1
5=-4y+4
4y=-1
y=-1/4

x=2
10=-4y+4
4y=-6
y=-3/2

x=3
15=-4y+4
4y=-11
y=-11/4
7 0
3 years ago
Read 2 more answers
Other questions:
  • If f(x)=3x^2 and g(x)= x+2, find (f *g) (x)
    7·1 answer
  • A parking garage has spaces for 70 cars and charges each driver $6 per day for parking. If the garage is full, how much more wou
    9·2 answers
  • There are (713)3 ⋅ 70 strawberries in a field. What is the total number of strawberries in the field? (the 13 , 3 and 0 are expo
    15·1 answer
  • PLEASE HELP BEFORE 11:00!
    7·1 answer
  • The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4%
    9·1 answer
  • PLEASE SHOW YOUR WORK
    8·1 answer
  • Ane goes to a juice bar with her friend neil. she is thinking of ordering her favorite drink, 7/8 orange juice and 1/8 cranberry
    12·1 answer
  • If f(x) = x^2 - 25 and g(x) = x - 5, what is the domain of (f/g)(x)
    12·1 answer
  • What is the greatest common factor of 60 and 90?
    5·2 answers
  • 3? Choose the THREE correct answers.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!