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3 years ago

Event A occurs with probability 0.2. Event B occurs with probability 0.8. If A and B are disjoint (mutually exclusive), then

Mathematics

2 answers:

larisa86 [58]3 years ago

6 0

Answer:

Step-by-step explanation:

If A and B are disjoint events, then P(A∩B) = 0 (because A and B haven't common parts), intersection ∩ can be also denoted with "and", so P(A and B) =0.

On the other hand, if A and B are disjoint events, then P(AUB) = P(A)+P(B). Union U can be also denoted with "or", then P(A or B) = P(A)+P(B).

P(A or B)= 0.2+0.8 = 1.

So, the answer is B.

swat323 years ago

4 0

What's the question? Do you want to prove these statements?

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Bill has a box of markers that has a base of 8 cm by 20 cm and a height of 6 cm. Martin’s pencil box has a height 4 cm and the b

nataly862011 [7]

Volume = base x width x height
Bill's Box is 8x20x6=960 cm^3

Martin's Box is 4x15x16=960 cm^3

Bill is right. The boxes have the same volume
CRIDITS TO ARMANDA120

5 0

4 years ago

Can someone help me in probability?

Afina-wow [57]

The probability is a fraction. all possible outcomes / number of items
so 8/11 is the probablity of finding a number higher than 3 out of 11
could also be written as:
8/11
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4 years ago

In a game of rock-paper-scissors, you have a 1/3 chance of winning, a 1/3 chance of losing, and a 1/3 chance of tying in any giv

slamgirl [31]

Answer: 1/5

Step-by-step explanation:

given data;

chances of winning = 1/3

chances of losing = 1/3

chances of tying in a given round = 1/3

solution:

probability that you would win atleast 2 in any 3 matches without a tied match is

1/3 / ( 2 - 1/3 )

= 1/3 / 5/3

= 1/5

the probability of winning 2 of 3 games without a tie is 1/5

5 0

3 years ago

1.) Find the distance between the points at (2, 3) and (-4,6)

Elza [17]

Answer:

6.7082

Step-by-step explanation:

Distance Formula=√(x2−x1)^2+(y2−y1)^2

√(-4-2)^2+(6-3)^2

-4 - 2= -6 squared is -36

6-3= 3 squared is 9

add 36 and 9 which = 45

√45 = 6.7082

7 0

3 years ago

Use the following information to complete parts I, II, and III. 1 hour=3600 seconds

icang [17]

Answer:

I) There are $8.760\times 10^3$ hours in 1 year.

II) The exact number of hours in one year is $8.76582\times 10^3$ hours.

Step-by-step explanation:

Given : 1 hour=3600 seconds

1 year = 31556952 seconds.

To find :

I) Use scientific notation to estimate the number of hours in one year.

1 day = 24 hours

1 year = 365 days

So, number of hours in one year is given by,

$n=24\times 365$

$n=8760$

In scientific notation,

$8760=8.760\times 10^3$

So, there are $8.760\times 10^3$ hours in 1 year.

II) 1 year = 31556952 seconds.

1 hour = 3600 seconds

In one year the number of hour is given by,

$n=\frac{31556952}{3600}$

$n=8765.82$

In scientific notation,

$8765.82=8.76582\times 10^3$

So, the exact number of hours in one year is $8.76582\times 10^3$ hours.

III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.

The exact numbers of hours using 365 days is 8760 which is written as $8.760\times 10^3$ in scientific notation but using the given data we get $8.76582\times 10^3$ hours.

Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.

If we round these we get $8.8\times 10^3$ hours which has two significant numbers.

8 0

4 years ago