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3 years ago

A cross section is the intersection of a and a

Mathematics

1 answer:

densk [106]3 years ago

7 0

Answer:

A cross section is the intersection of a figure in three-dimensional space with a plane. A cross section is the face you obtain by making a "slice" through a solid object. A cross section is two-dimensional. We see cross sections in everyday life.

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

3 years ago

Please help. What is the area of the triangle

maria [59]

Answer:

Step-by-step explanation:

area of a triangle is height times the width divided by two. A right triangle is basically a rectangle cut in half simetrically diognally ( might have bad spelling).

24/2

12*7

4 0

4 years ago

chad buys peanuts in 2-pound bags.He repackages them into bags that hold 5/6 pound of peanuts.How many 2-pound bags of peanuts s

Juli2301 [7.4K]

Chad would have to buy 2, 2-pound bags of peanuts. So he has 4 pounds in all. 5/6 can go into 4 event.

6 0

3 years ago

20 PTS<br> If a new car payment is $616.67 each month, what is the total car payment for one year?

vitfil [10]

Answer:

7400.04

Step-by-step explanation:

Well, if one month is 616.67, then one year is just 12 months. Multiply 6l6.67 by 12, and the answer is 7400.04

8 0

3 years ago

Emily read 24 fiction books and 2 nonfiction books. What is the ratio of the number of fiction books she read to the total numbe

Tems11 [23]

The ratio of number of fiction books to total number of books that she read 12:13.

Given :

Emily reads 24 friction books and 2 nonfiction books.

Number of fiction books she read =24

Number of nofiction boos she read = 2

Total number of books = 26

To Find :

What is the ratio of the number of fiction books she read to the total number of books that she read ?

Solution :

Total number of books that she read=24+2=26

number of fiction books she read=24

Thus ratio of number of fiction books to total number of books that she read

⇒ $\frac{24}{26}$

⇒ $\frac{12}{13}$

⇒ 12: 13

Hence ratio of number of fiction books to total number of books that she read 12 : 13

To know more about total number of books visit :

brainly.com/question/1179123

#SPJ1

4 0

1 year ago