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2 years ago

Polygon H is a scaled copy of Polygon G using a scale factor of 1/4

Mathematics

1 answer:

ddd [48]2 years ago

6 0

Answer:

the area of a circle is radius times radius times pi.

Step-by-step explanation:

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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]

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

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

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,

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

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

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

Evaluate A+4 when a=7

guajiro [1.7K]

Answer:

a = 11

Step-by-step explanation:

if A is 7 in the equation A + 4, the it could also be written as 7 + 4.

then it would just be simple addition, because you would add 7 + 4, which equals 11.

Hope this helps!

8 0

2 years ago

Denise, Keith, and Tim live in the same neighborhood. Denise lives 0.3 mile from Keith. The distance that Tim and Keith live fro

hodyreva [135]

Answer:

Step-by-step explanation:easy

6 0

2 years ago

A tortilla maker produces 100 tortillas in half an hour. if he works from 9 am to 5 pm with a one hour lunch and two 15-minute b

ira [324]

The answer is 1300 i think,
hope it helps!

3 0

3 years ago

Read 2 more answers

A 1 3/4 kg fish weighed 1 3/16 kg after it was cleaned. how much was the decreased in weight of the fish.

joja [24]

Answer:

b) Excessive water or water in the root zone can decrease ... ¼ 1, 240kg/ha. Crop price ¼ Ya р Ю $/kg р. Ю ¼ 1,240 kg/ha 0.9 р Ю ¼ $1, 116. WC ¼ $/m3.

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Step-by-step explanation:

7 0

2 years ago