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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

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A number c minus 3.4 is less than 14. Write this word sentence as an inequality.
ArbitrLikvidat [17]

Answer:

c-3.4<14

Step-by-step explanation:

We translate the words into an inequality. A number, C, minus 3.4 is less than 14.

c-3.4<14

8 0
3 years ago
Need help with left side
maks197457 [2]

Hello,

1) k = (-5) * (-5) = 25

3) x = 12 * 0 = 0

5) y = (-4) * (-12) = 48

7) z = 0 * 9 / 1 = 0

9) x= 18 / -3 = -6

11) p = -8 / 8 = -1

13) h = 42 / 14 = 3

15) m = -42 / 6 = -7

17) x = -9 * -11 = 99

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8 0
3 years ago
The monthly charges for Jims phone is
solmaris [256]

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Explanation:

100/140 minutes of calls were free. Then, 40 x .09, which is 3.6

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3 0
3 years ago
Mrs. Carlyle bought a bag of peanuts for her children. when Philip Joy Brent and Preston came home from school and they each too
Ilia_Sergeevich [38]

Answer:

Total peanut=324

Step-by-step explanation:

Let the peanut=x

Philip took 1/3 of x

Remaining peanut=x-1/3x

=3x-x/3

=2/3x

Joy took 1/4 of the remaining leaving 3/4

Remaining=(3/4)(2x/3)

=6x/12

=1/2x

Brent took 1/2 of those, leaving 1/2

=(1/2)*(1/2x)

=1/4x

Preston took 10

Remaining

1/4x - 10 = 71

1/4x = 81

x=81÷1/4

=81*4/1

x = 324

Total peanut =324

Philip=1/3x

=1/3*324

=108

Remaining 324-108

=216

Joy=1/4 of 216

=54

Remaining

324-108-54=162

Brent=1/2 of 162

=81

Preston=10

Total taken=Philip+joy+Brent+Preston

=108+54+81+10

=253

Total remaining=Total peanut - total taken

=324-253

=71

5 0
3 years ago
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