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arsen [322]
1 year ago
13

The answer to this problem

Mathematics
1 answer:
telo118 [61]1 year ago
5 0

Answer:

jdiddbhhuduh9ruruuehgruhrhudhheherj

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A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defe
emmainna [20.7K]

a.

P({A_1}^c)=1-P(A_1)=\boxed{0.86}

b.

P(A_1\cap A_2)=P(A_1)+P(A_2)-P(A_1\cup A_2)=\boxed{0.07}

c. By the law of total probability,

P({A_3}^c)=P((A_1\cap A_2)\cap{A_3}^c)+P((A_1\cap A_2)^c\cap{A_3}^c)

According to the inclusion/exclusion principle,

P((A_1\cap A_2)^c\cap{A_3}^c)=P((A_1\cap A_2)^c)+P({A_3}^c)-P((A_1\cap A_2)^c\cup{A_3}^c)

but by DeMorgan's law,

(A_1\cap A_2)^c\cup{A_3}^c={A_1}^c\cup{A_2}^c\cup{A_3}^c=(A_1\cap A_2\cap A_3)^c

So

P((A_1\cap A_2)^c\cap{A_3}^c)=(1-P(A_1\cap A_2))+(1-P(A_3))-(1-P(A_1\cap A_2\cap A_3))

and from there we find

P(A_1\cap A_2\cap{A_3}^c)=P((A_1\cap A_2\cap A_3)^c)-P((A_1\cap A_2)^c)=\boxed{0.05}

d. The event of having at most two of these defects is complementary to the event that all three defects occur simultaneously:

P((A_1\cap A_2\cap A_3)^c)=1-P(A_1\cap A_2\cap A_3)=\boxed{0.98}

3 0
2 years ago
Craig went bowling with $25 to spend. he rented shoes for $5.00 and paid $4.00 for each game. What was the greatest number of ga
Anton [14]

Answer: A

Step-by-step explanation:

Given:

Budget = $25

Shoes rental = $5.00

Price per game = $4.00

To find the greatest number of games he played...

↓

First, subtract the rent for the shoes from the budget.

25 - 5 = 20

Second, divide the remaining money or budget by the price per game.

20 ÷ 4 = 5 (greatest number of games played)

Lastly, check if the expense is the same as the original amount of money.

5 (shoes) + 4(5) (number of games played)

5 + 20 = 25 (original amount of money)

Hope it helps!!! Please mark as brainliest. Thank you :D

4 0
1 year ago
Help me please it's for geometry
LuckyWell [14K]
Since they are similar, and a side of 10 = a side of 4, the ratio would be 2.5 : 1. You would do 6 * 2.5, which would equal 15, and (15 + 2) / 2 = 8.5 or 17/2
3 0
2 years ago
Help me please !!?????????? Question 4
Ne4ueva [31]

from question d = 16t^2 = 56-4t

=》 16t^2 -56 + 4t =0

=》 4t^2 - 14 + t = 0

=》 (4t-7)(t+2) =0

=》 t = 1.75 seconds

4 0
3 years ago
Solve 27 and 29, will give BRAINLIST!!
otez555 [7]

Answer:

see below

Step-by-step explanation:

27.

We can use ratios to solve

152 dollars     532 dollars

---------------- = ----------------

4 days              x days

Using cross products

152x = 4*532

152x =2128

Divide each side by 152

152x/152 = 2128/152

x =14

14 days

29.

1 inch        2/3 inches

------------ = ----------------

6.5 ft          x ft

Using cross products

1x = 2/3 * 6.5

x = 4.333333

c = 4 1/3 ft

5 0
3 years ago
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