[Statistics and Probability] How to find if something is mutually exclusive given a sample space?

Answers

Answer 1

Also, not being mutually exclusive could be proven by showing there are values in the intersection: A ∩ B

Answer 2

To find if events A and B are mutually exclusive given a sample space, check if they can occur at the same time. If P(A AND B) = 0, they are mutually exclusive. If they share common outcomes, they are not mutually exclusive.

To determine if two events in a sample space are mutually exclusive, you need to evaluate if the two events can occur simultaneously. If two events, A and B, are mutually exclusive, this means that they cannot happen at the same time, and therefore the probability of A AND B occurring together, denoted as P(A AND B), is zero.

Related Questions

round 5370288 to the nearest 100,000

Answers

5400000 because 7 is after three so it turns to 4

Salutations!

Round 5,370,288 to the nearest 100,000

To round the number to the nearest hundred thousands, you need to know whether the number next to hundred thousands is greater than 5 or lesser than 5. If it's greater than 5, round up by adding plus 1 to the hundred thousands place. If it's lesser than 5, round down by adding zeros accordingly.

5,370,288 rounded to the nearest thousands is 5,400,000.

Hope I helped :D

Find the greatest factor of 70, 30 and 50

Answers

The greatest common factor is 10

When Mr. J. Raff took his two children to the zoo, their tickets cost $8.75. The next family in line was Mrs. Ella Fant with Grandpa and the five Fant kids. Their tickets cost a total of $19.75. How much does the zoo charge for each adult and for each child?

Answers

A + 2K = 8.75
2A + 5K = 19.75
Change the first expression so that we can subtract the As
2A + 5K = 19.75
2A+4K= 17.50
If the signs are the same, subtract one expression from another
K= 2.25
substitute K into any expression to get A
A+4.50= 8.75
Subtract 4.50
a=4.25

K=$2.50
A= $4.25

Final answer:

The zoo charges approximately $4.42 for each adult and $0.92 for each child.

Explanation:

To determine the cost of an adult ticket, we can subtract the cost of the children's ticket from the total cost. Let's set up a system of equations using variables for the cost of an adult ticket (a) and the cost of a child ticket (c):

a + 2c = 8.75

a + 5c = 19.75

Multiplying the first equation by 5 and subtracting the second equation from it, we get:

5a + 10c - a - 5c = 43.75 - 19.75

4a + 5c = 24

Now we can solve this system of equations to find the values of 'a' and 'c'.

Multiplying the first equation by 4 and subtracting the second equation from it, we get:

4a + 8c - 4a - 20c = 35 - 24

-12c = -11

c = -11 / -12

c = 11 / 12

Substituting the value of 'c' back into the first equation, we get:

a + 2 * (11 / 12) = 8.75

a + 11 / 6 = 8.75

a = 8.75 - 11 / 6

a = 53 / 12

So, the zoo charges approximately $4.42 for each adult and $0.92 for each child.

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Conversión a fracción de 0.355

Answers

335/1000 if you read it out loud .335 is three hundred fifty-five thousandths

The ratio of the side length of Square A to the side length of Square B is 4:9. The side length of Square A is 12 yards. What is the perimeter of Square B?

Answers

A/B : 4/9 = 12/B
cross multiply
(4)(B) = (9)(12)
4B = 108
B = 108/4
B = 27

P = 4a...where a is the length of one side
P = 4(27)
P = 108 yds <=== perimeter of square B

28 people are going to the movies; they have 3 vans and 1 car.

If 8 people ride in each van, how many will ride in the car?

Answers

28 people going.....3 vans and 1 car....8 people per van
if there is 8 people per van, and there is 3 vans....8 * 3 = 24 people take the vans......leaving 28 - 24 = 4 people taking the car <==

The answer is 4 people will be in the car

12(x-17) rewrite the expression without using grouping signals

Answers

Grouping signals means parentheses so we need to distribute:

12x - 204

Hope this helps!

you have to do the distributive property and you get 12x - 204

Please help me out with this

Answers

The numbers in the chart are -7.1, -3.4, -1.2, 2.1, and 3.4. So, from greatest to least the numbers will be:

3.4, 2.1, -1.2, -3.4, and then -7.1.

With absolute value, the numbers from greatest to least are:

|7.1|, |3.4|, 3.4, 2.1, |1.2|.

However, this is assuming that Friday is 3.4, which was given information on the last question. Hope this helps!

What is the value of p? 3+17p=−32−11p

Answers

3+17p=−32−11p
17p + 11p = -32 - 3
28p = -35
p = -35/28
p = -5/4
or
p = -1 1/4

The value of p in this equation 3 + 17p = -32 - 11p is -5/4. To find the value of p, we need to solve the equation: 3 + 17p = -32 - 11p

First, let's gather all the terms involving p on one side of the equation:

17p + 11p = -32 - 3

Now, combine the p terms:

28p = -35

Now, isolate p by dividing both sides of the equation by 28:

p = -35 / 28

To simplify the fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 35 and 28, which is 7: p = -5/4

So, the value of p is -5/4.

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the value of the digit 9 is 2,107,954

Answers

The value of the digit 0 is 10 thousand.
What you have to do is break down the numbers so since there is no 0 in 954, then you would move on to the next 3 sets of numbers of which, if the number was just 107, you could see that the 0 is in the tens place and since it is actually 107,000, then you would say that the 0 is in the ten thousands place.

Which expression is not equivalent to the others? Explain your reasoning.
_-1/4 -1/4 1/-4 _-1/-4

Answers

The expression that is not equivalent it the last one: -1/-4
The rest of the expressions are equal to: -0.25
The last one is: 0.25

The reason it is not equivalent is because it is a negative divided by a negative whereas the rest are a negative divided by a positive. A negative divided by a negative will equal a positive. It was the only positive integer in the expressions listed above. Thus, the answer is: -1/-4

On which section will you write $50 cash?

1) A

2) B

3) C

4) D

Answers

The fourth option, D.

Name two different numbers that round to 30 when rounded to the nearest ten

Answers

when you round 27 to the nearest 10 it gives you 30 and when you round 33 it also gives you 30

29. 9 and 30 .2 when round will round to 30

whats 11/12 + (−7/12) in simplest form

Answers

The answer is 1/3 or 4/12

11/12 + (−7/12) in simplest form is 1/3

r = 2/3t + v , for t
need answer a how u got it

Answers

R= 2/3t + v
R-v=2/3t
3(R-v)=2t
t= 3(R-v)/2

Final answer:

To solve the equation r = 2/3t + v for t, subtract v from both sides and then multiply by the reciprocal of 2/3. The final equation is t = (3/2)(r - v).

Explanation:

You are looking to solve the equation r = 2/3t + v for t. To do this, you need to isolate t on one side of the equation. Here are the steps:

Subtract v from each side. This gives us: r - v = 2/3t. To get t alone, we need to get rid of 2/3. Therefore multiply both sides of the equation by the reciprocal of 2/3, which is 3/2, resulting in: (3/2)(r-v) = t.

So the answer is t = (3/2)(r-v).

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Which numbers are a distance of 3 units from 12 on the a number line?

A. 3 & -15
B. 15 & 9
C. 0 & -9
D. 3 &12

Answers

it would be B, hope i could help out.

B is the correct answer
hope this helps

(1 + 2i) • (5 − 3i)

5 - 6i
11 + 7i
3+2i
2-15

Answers

The answer is A. 5-6i.

Answer:

A) 5-6i

Step-by-step explanation:

did it on flvs

Greatest common factor or 60 and 20

Answers

To find the greatest common factors of these 2 numbers, first write them as product of prime numbers.

(a prime number is a number whose only factors are 1 and themselves, for example: 2, 3, 11 ...etc)

To write the numbers as product of prime factors, just divide them continuously until all factors are primes:

[tex]60=6\cdot10=(2\cdot3)\cdot(2\cdot5)=2\cdot2\cdot3\cdot5\\\\20=2\cdot10=2\cdot(2\cdot5)=2\cdot2\cdot5[/tex]

The greatest common factor, must contain the largest number of common factors found in both numbers which are 2- 2's and one 5

So the greatest common factor is [tex]2\cdot2\cdot5=4\cdot5=20[/tex]

Answer: 20

The greatest common factor of the numbers 60 and 20 is 10.

We have,

To find the greatest common factor (GCF) of 60 and 20, we can list the factors of both numbers and identify the largest factor they have in common.

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

The factors of 20 are: 1, 2, 4, 5, 10, 20.

From the list above, we can see that the common factors of 60 and 20 are 1, 2, 4, 5, and 10.

Among these common factors, the largest one is 10.

Therefore,

The greatest common factor of the numbers 60 and 20 is 10.

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Translate into an algebraic expression:

How old Steve will be in 2 years if k years ago he was w years old?

Answers

to find his current age we need to add his age back then and the amount of years.

k + w is his current age.

We need to find his age 2 years in the future.

k+w+2 is your answer

Hope this helps!

A train travels 558 miles in 3 hours. At this rate, how far does the train travel per hour?

Answers

558 divided by 3 = 186 answer is 186mph

[tex]3 hours = 558 miles 1hour = x miles Cross multiply 3x = 558*1 3x = 558 Divide both sides by 3 3x/3 = 558/3 x= 186 [/tex]

I hope I helped!

What is 1/8 in decimal form?

Answers

The answer is 0.125. Hope this helps

Solve for x.
6x - 2 = x - 2
--------
4

The 6x - 2 is divided by 4

Answers

[tex]\frac{6x-2}{4}=x-2[/tex]
multiply both sides by 4
6x-2=4(x-2)
6x-2=4x-8
minus 4x both sides
2x-2=-8
add 2 to both sides
2x=-6
divide both sides by 2
x=-3

twice a number (x) is less than 10

Answers

2x < 10

Solving:

Divide each side by 2

x < 5

Hope this helps!

solve for the indicated variable u=x-k, for x

Answers

x = u + k
hope this helps & hope I get the brainliest answer

remember, you can do anything to an equation as long as you do it to both sides

u=x-k
add k to both sides
u+k=x-k+k
u+k=x+0
u+k=x
x=u+k

What is 5.3 divided by 0.2

Answers

26.5 is the answer have a nice day!

Final answer:

5.3 divided by 0.2 is equal to 26.5.

Explanation:

To calculate 5.3 divided by 0.2, you can divide the numerator (5.3) by the denominator (0.2). In this case, 5.3 divided by 0.2 is equal to 26.5.

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Calculate 6231+2787 by rounding each number to the nearest:

1000
100
50
10

Answers

6231+2787= 9018
Which rounds off to 1000 if they want you to do it to the nearest thousand

in order for Brady to earn a b in his biology course, his test scores must average at 80%. ON the first 5 tests, he has an average of 77%. There is one test remaining in the course. What is the minimum score Brady needs to earn on the last test to receive a b in the class?

Answers

In order for him to have a 77% on his first 5 tests, that means the total amount of points earned on those 5 tests was 385 points out of 500 points.
(77*5 out of 5*100 points)
So if we want to add a test and have a 80% average this is what we have to do:
(385+x)/6 = 80 (multiply by 6 on both sides)
385 + x = 480 (minus 385 on both sides)
x = 95

Answer:

Brady needs to earn a 95% on the final test

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Before we can actually solve this we need to create a formula that calculates the grade of the last test in order to get an average of 80%. Since he got a 77% average for his first 5 tests, we can multiply 0.77 by 5, add the final test and then divide by the total amount of tests taken. Like so,

[tex]0.80 = \frac{(0.77*5)+x}{6}[/tex]

[tex]0.80 = \frac{3.85+x}{6}[/tex] .... multiply both sides by 6

[tex]4.8 = 3.85+x[/tex] ... subtract both sides by 3.85

[tex]0.95 = x[/tex]

Finally, we can see that Brady needs to earn a 95% on the final test in order to increase his overall average to 80%.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches. Which of the following expressions shows the height to ride?

A. h < 52
B. h ≤ 52
C. h > 52
D. h ≥ 52

Answers

Answer:

D )Expression for height to ride is h ≥ 52

Step-by-step explanation:

Given : The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches.

To find : Which of the following expressions shows the height to ride.

Solution : We have given that

Minimum height of spinner = 52 inches.

It state that height of spinner for riding at least 52 it mean it must be 52 or greater than 52

Therefore, D )Expression for height to ride is h ≥ 52

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches.

So, Let the height to ride be 'h'.

We have mentioned that value of h is must be greater than or equal to 52 inches.

So, it becomes,

[tex]h\geq 52\ inches[/tex]

Hence, Option 'D' is correct.

how does a digit in the ten thousand place compare to adigit in the thousand

Answers

A digit in the ten thousand place is 10x times larger than a digit in the thousands place.
We can see that here- 1,000 x 10 = 10,000

Write 64,500 in scientific notation

Answers

6.45 x 10 to the 4th.

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