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avanturin [10]
3 years ago
8

Disjoint, Independent, and Complement State whether the two events (A and B) described are disjoint, independent, and/or complem

ents. (It is possible that the two events fall into more than one of the three categories, or none of them.) Australia plays Argentina for the championship in the Rugby World Cup. At the same time, Ukraine plays Russia for the World Team Chess Championship. Let A be the event that Argentina wins their rugby match and B be the event that Ukraine wins their chess match. Disjoint
Mathematics
1 answer:
just olya [345]3 years ago
4 0

Answer:

Independent Events

Step-by-step explanation:

Two events are mutually exclusive or disjoint if they cannot both occur at the same time.

Two events are independent if the probability of occurrence of one does not affect the probability of occurrence of the other.

The complement of any event B is the event [not B], i.e. the event that B does not occur.

Australia plays Argentina for the championship in the Rugby World Cup.

At the same time, Ukraine plays Russia for the World Team Chess Championship.

A = event that Argentina wins their rugby match.

B = the event that Ukraine wins their chess match.

The two events A and B are Independent as the outcome of one does not affect the outcome of the other

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Jacob's little brother thinks that he could design a better lion enclosure than the one he sees at the zoo. He makes a drawing o
abruzzese [7]

Answer:

Step-by-step explanation:

<u><em>Length</em></u>

1 inch = 25 feet

7 1/4 inches = x feet

1 * x = 25 * 7 1/4

x = 25 * 7.25

Length = 181.25 feet

The length is 181.25

<em><u>hypotenuse length</u></em>

The diagonal = 10 1/2 inches

The diagonal = 10.5 inches

hypotenuse = 10.5 * 25 = 262.5 feet

<em><u>Width</u></em>

L^2 + W^2 = Diagonal^2

181.25² + W² = 262.5²

32851.5625 + W²  =  68906.25   Subtract 32851.5625 from both sides

W² =  68906.25 - 32851.5625

W^2 = 36054.6875                       Take the square root of both sides

W = 189.88

<u><em>Area</em></u>

Area = L * W

Area = 181.25 * 189.88

Area = 34415.88 square feet.

3 0
3 years ago
Identify the sample chosen for the study. The number of hours a group of 12 children in Mrs. Smith's kindergarten class sleep in
LuckyWell [14K]

Answer:

The 12 children selected in Mrs. Smith's kindergarten class.

Step-by-step explanation:

A sample is a representative part of a population on which a research is carried out.

The study In Mrs Smith's class was to find out the number of hours the children in Kindergarten Sleep in a day. Out of the total number of students, 12 were selected for observation. The 12 childen selected is therefore  a sample of the class.

8 0
3 years ago
Reasoning 1f 60% of the registered voters cast 202,800 votes in an election, how many registered voters
Nana76 [90]

Answer:

338,000

Step-by-step explanation:

202800 is to 338000 like 60% is to 100%

hope that helps lol (did it with my mouse so looks awful)

3 0
2 years ago
A circle has a circumference of 12. It has an arc of length 8/5. what is the central angle of the arc, in degrees?
earnstyle [38]

360⁰......12

x.............8/5=1.6

Thus:

x=1.6×360/12=1.6×30=48⁰

Answer: x=48⁰

6 0
3 years ago
Read 2 more answers
The lifespan of a lion in a particular zoo are normally distributed. The average lion lives 12.5 years the. Standard deviation i
Anika [276]

Answer:

0.1585

Step-by-step explanation:

Solution:-

The lifespan of a lion in a particular zoo is normally distributed with average lion lives:

                    Mean u = 12.5 years

                    Standard deviation s = 2.4 years

We are to use the empirical rule ( 68-95-99.7% ) to estimate the probability of a lion living between 5.3 and 10.1.

- The empirical rule ( 68-95-99.7% ) states:

                     P ( u - s < X < u + s ) = 68%

                     P ( u - 2s < X < u + 2s ) = 95%

                     P ( u - 3s < X < u + 3s ) = 99.7%

- The test have the following number of standard deviations (s):

                 

                    u - s < X < u + s  = 12.5 - 2.4 < X < 12.5 + 2.4  = 10.1 < X < 14.9

                    u - 2s < X < u + 2s = 12.5 - 4.8 < X < 12.5 + 4.8  = 7.7 < X < 17.3

                    u - 3s < X < u + 3s = 12.5 - 7.2 < X < 12.5 + 7.2  = 5.3 < X < 19.7

Hence,

                   P ( 10.1 < X < 14.9 ) = 0.68

                   P ( 7.7 < X < 17.3 ) = 0.95

                   P ( 5.3 < X < 19.7 ) = 0.997

-  We need P ( X < 10.1 ) and P ( X < 5.3 ):

                  P ( X < 10.1 ) = [ 1 - P ( 10.1 < X < 14.9 ) ] / 2

                                      = [ 1 - 0.68 ] / 2

                                      = 0.16

                  P ( X < 5.3 ) = [ 1 - P ( 5.3 < X < 19.7 ) ] / 2

                                      = [ 1 - 0.997 ] / 2

                                      = 0.0015

Hence,

                 P ( 5.3 < X < 10.1 ) = P ( X < 10.1 ) - P ( X < 5.3 )

                                               = 0.16 - 0.0015

                                               = 0.1585

5 0
3 years ago
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