A, B, and C are mutually exclusive. P(A) = .2, P(B) = .3, P(C) = .3. Find P(A ∪ B ∪ C). P(A ∪ B ∪ C) =

Answers

Answer 1

Events are said to be mutually exclusive if they can not occur at the same time, that is, the probability of those events occurring at the same time is zero.
In the question given above,
P (A) = .2
P (B) = .3
P (C) = .3
P (A U B U C) = .2 + .3 + .3 = .8
Therefore, P (A U B U C) = 0.8.

Related Questions

While going on a field trip, a busload of 54 students will have to be split up into three groups. two thirds will go to lunch first, and one third will go visit the exhibits. how many will go to lunch first?

Answers

*Given
Total number of students - 54
Fraction of students going to lunch first - 2/3
Fraction of students going to the exhibit first - 1/3

*Solution
1. Since the students are grouped into 3, the total number of students must be divided into 3 to determine the number of students in each of the 3 groups.

54/3 = 18

Thus, there are 18 students per group.

2. Two-thirds (2/3) of the total number of students will go to lunch first. Since the total number of students have already been divided into 3 groups, this simply means that 2 of the 3 groups will go to lunch first. Since each group has 18 students, 2 groups would have,

18*2 = 36

Thus, 36 students will go to lunch first.

Can I get some points? Please ask me a very simple question like 1 plus 1 or sum and I will answer and get pts? please? Youll get 10 points lol if you have a lot can I get like 70 or sum

Answers

ok then what 1.11111111. 2.2222222

Answer:the answer is two double check i could be wrong

Step-by-step explanation:1 x 1 x 1 + 1 / 1 = 2

is the square root of 10 greater than,less than or equal to 5

Answers

It is less than five.

A really bad carton of 18 eggs contains 9 spoiled eggs. an unsuspecting chef picks 6 eggs at random for his "mega-omelet surprise." find the probability that the number of unspoiled eggs among the 6 selected is

Answers

Final answer:

Explanation:

To find the probability that the number of unspoiled eggs among the 6 selected is X, we can use the hypergeometric probability formula. This formula is used when the sample drawn is without replacement from a finite population. In this case, we have 18 total eggs in the carton, with 9 spoiled eggs. So the probability that X unspoiled eggs are selected out of the 6 can be calculated as:

P(X) = (C(X,6) * C(9,6)) / C(18,6)

Where C(n,r) represents the combination of n things taken r at a time.

Which best describes angelica solution

Answers

koolkid239
Angelica calculated the distance between the two points shown on the graph below.

Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.

Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.

Step 3: Substitute the values into the Pythagorean theorem: mc010-2.jpg.

Step 4: Evaluate mc010-3.jpg

She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?
Angelica is correct.
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be mc010-4.jpg

The error that Angelica made is an error substituting the values into the Pythagorean theorem. The equation should be c² + 6² = 10²

How to use Pythagoras Theorem?

From the brainly link attached below, we can see the steps Angelica used in calculating the distance between the two points shown on the graph below.

The steps she took are;

Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.

Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.

Step 3: Substitute the values into the Pythagorean theorem: 10² = 6² + c²

Step 4: Evaluate

From the graph and looking at the steps she took, we can say that the error that Angelica made is an error substituting the values into the Pythagorean theorem. The equation should be c² + 6² = 10²

Read more about Pythagoras Theorem at; https://brainly.com/question/9917504

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five quarts of latex enamel paint will cover about 100 square feet of wall surface. how many quart are needed to cover 71 square feet of kitchen wall and 69 square feet of bathroom wall ?

Answers

71 + 69 = 140.....so there is 140 sq ft to cover

100 / 5 = 140 / x....100 sq ft to 5 qts = 140 sq ft to x qts
cross multiply
(100)(x) = (140)(5)
100x = 700
x = 700/100
x = 7 qts <==== 7 qts will be needed

What is the ordered pair for point K? A. (–4,–5)
B. (4,–5)
C. (5,–4)
D. (–4,5)

Answers

From the figure (shown below), the coordinates of the point K are x = 4 and y = -5.

Answer: (4, -5)

Answer:

if you read the graph it is 4,-5

During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?

Answers

So basically ...

You convert the rupees in paisas. One rupee is equal to one hundred paisas, so ...

280 × 100 = 28,000

And then we divide,

28,000 ÷ 14 = 2000

The post office sold 2000 stamps!

Hope this helped! :)

The post office sold 2000.

To find out how many 14-paisa stamps the post office sold to make Rs.280, we need to follow a step-by-step solution.

Convert the total amount from rupees to paisas:Since the stamp's value is given in paisas.There are 100 paisas in 1 rupee.Rs.280 = 280 x 100 = 28000 paisas.The value of one stamp is 14 paisas.To find the number of stamps sold, we divide the total amount in paisas by the value of one stamp:

28000 paisas ÷ 14 paisas per stamp = 2000 stamps.

99 POINTS TOP RECORD I NEED PRO'S FOR THIS!

HELP ASAP

!! ;D

Answers

(-10.3)(2)x = 4(-10.3)(2)

cross out the same terms on both sides and you end up with x =4

(-10.3)2x = 4(-10.3)(2)

2x(-10.3) = -82.4

Divide both sides by -10.3
2x = -8
Get x by itself
x = -4

Hope this Helps!

From 1980 to 1990, Lior’s weight increased by 25%. If his weight was k kilograms in 1990, what was it in 1980?

Answers

An increase of 25% is represented by the multiplier 1.00 + 0.25, or 1.25.
Then Lior's 1980 weight, mult. by 1.25, results in his 1990 weight, or k kg.

Let his 1980 weight be w. Then 1.25w = k. Divide both sides by 1.25 to obtain w, Lior's 1980 weight:

1.25 w = k
--------- ------- = (4/5)k, or 4k/5 (answer)
1.25 1.25

Ththe weight of Lior in 1990 in terms of k is [tex]\frac{4}{5} k[/tex]

Let the weight of Lior in 1980 be "w"

If Lior's weight increased by 25%, his new weight was "k". This can be expressed as:

w + (25% of w) = k

w + (0.255w) = k

w + 0.15w = k

1.25w = k

Divide both sides by 1.25

[tex]\frac{1.25w}{1.25} =\frac{k}{1.25} \\w=\frac{k}{1.25} \\w=\frac{100k}{125} \\w=\frac{4}{5}k[/tex]

This shows that the weight of Lior in 1990 in terms of k is [tex]\frac{4}{5} k[/tex]

Learn more here: https://brainly.com/question/7287613

Ann had 75 fliers to post around town. Last week,
she posted 2/5 of them. This week, she posted 2/3 of the remaining fliers. How many fliers has she still not posted?

Answers

so, she had 75 fliers total, then she posted 2/5, how much is 2/5 of 75? well, is just their product,

[tex]\bf 75\cdot \cfrac{2}{5}\implies \cfrac{150}{5}\implies 30 \\\\\\ \textit{how much is }\frac{2}{3}\textit{ of }\stackrel{remaining~75-30}{45}\textit{ fliers?}\qquad 45\cdot \cfrac{2}{3}\implies \cfrac{90}{3}\implies 30[/tex]

so, she had 75 total, she posted 30, then 30 again, so she hasn't posted 75 - 30 - 30.

jose rodriguez's checking account had a starting balance of 1,234.56. he wrote a check for 115.12 for plumbing supplies and check for 225.00 for a loan payment. Yesterday he deposited 96.75 in his checking account. what jose's current balance?

Answers

Jose's current balance is 991.12
Hopes this helps.

A person invests $4000 at 2% interest compounded annually for 4 years and then invests the balance (the $4000 plus the interest earned) in an account at 8% interest for 7 years. Find the value of the investment after 11 years.

(Hint: You need to break this up into two steps/calculations. Be sure to round your balance at the end of the first 4 years to the nearest penny so you can use it in the second set of calculations.)

Answers

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$4000\\ r=rate\to 2\%\to \frac{2}{100}\to &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &4 \end{cases} \\\\\\ A=4000\left(1+\frac{0.02}{1}\right)^{1\cdot 4}\implies A=4000(1.02)^4\implies A\approx 4329.73[/tex]

then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$4329.73\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &7 \end{cases} \\\\\\ A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396[/tex]

add both amounts, and that's her investment for the 11 years.

how do i find 3/4 of 460

Answers

To find 3/4 of 460 divide 460 by 3/4

Hello!

To find 3/4 of 460, you can divide it by 4:

460/4 = 115

115 • 3 = 345

So, 3/4 of 460 would be 345.

I really hope you found this helpful! Make sure you don't forget to multiply! :)

A deep-sea diver is in search of coral reefs. He finds a beautiful one at an elevation of -120 4/7 feet. While taking pictures of the reef, he catches sight of a manta ray. He swims up 25 3/7 feet to check it out. What is the diver's new elevation?

Answers

To start, create an expression to represent the situation: -120 4/7 + 25 3/7
Since the diver goes up 25 3/7 from their current spot, you would add 25 3/7 to -120 4/7.
This expression would then simplify to -95 1/7 (first, you combine -120 and 25 since they have a fraction that share the same denominator, and then you combine -4/7 and 3/7). The diver's new elevation would be -95 1/7.

The position of the diver's new elevation will be negative 666 / 7.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A remote ocean jumper is looking for coral reefs. He tracks down a wonderful one at a rise of - 120 ⁴/₇ feet. While taking photos of the reef, he sees a manta beam. He swims up 25 ³/₇ feet to look at it.

Convert the mixed fraction number into a fraction number. Then we have

- 120 ⁴/₇ = - 844 / 7

25 ³/₇ = 178 / 7

The position of the diver's new elevation will be given as,

⇒ - 844 / 7 + 178 / 7

⇒ (- 844 + 178) / 7

⇒ - 666/7

The position of the diver's new elevation will be negative 666 / 7.

More about the Algebra link is given below.

https://brainly.com/question/953809

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simplify the expression 4y - 1 - 3y + 2

Answers

okay, so basically all you need to do is combine like terms!
in this case, 4y and -3y are like terms... and -1 and 2 are like terms
so, 4y - 3y is 1y or y
and -1 + 2 is 1

so your simplified answer is y + 1

I hope this helps!!

Graph the following sequence of transformations for

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

with that template in mind.

[tex]\bf f(x)=\sqrt[3]{x}\qquad \boxed{-f(x+2)+4}\implies f(x)=\stackrel{A}{-1}\sqrt[3]{\stackrel{B}{1}x\stackrel{C}{+2}}\stackrel{D}{+4}\qquad \\\\\\ f(x)=-\sqrt[3]{x+2}+4[/tex]

A = -1, reflected over the x-axis

B = 1, C = 2, horizontal shift of C/B or 2, to the left.

D = 4, shifted upwards by 4 units.

check the picture below.

What is the prime factorization of 72?

Answers

Ik that 9 is one of em
Hope this helps have a nice nite

Hello!

72 is not a prime number, but your answer would be:
[tex] {2}^{3} \times {3}^{2} [/tex]

I really hope my answer benefites you! c:

Another order calls for 26 widgets. The widgets comes in boxes of 5. How many full boxes of 5 do you pull? How many single items do you still need?

Answers

divide 26 by 5

26 /5 = 5.2

so 5 full boxes

5*5 = 25

26-25 = 1

so 5 full boxes and 1 single widget

Final answer:

For an order of 26 widgets with each box containing 5 widgets, you would pull 5 full boxes and still need 1 more single widget.

Explanation:

To solve this problem, we need to find out how many full boxes of 5 widgets we can make from 26 widgets and how many single widgets we will have left. Whole number quantities, such as the number of widgets and boxes, are important here. First, we divide 26 by 5 to find out the number of full boxes. This gives us 5 full boxes with a remainder of 1, which means we have one widget left. So, we pull 5 full boxes and still need 1 more single widget.

Learn more about Dividing Whole Numbers here:

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Solve each equation 4y-x=16

Answers

4y= x + 16

y= (1/4)x +4

-x = -4y + 16

x = 4y - 16

Jade spend $37.60 on groceries. 4/5 of that total was spent on vegetables. How much was spent on other items

Answers

$7.52 was spent on the other items

divide the total spent by 5 to get what 1/5 is

37.60 / 5 = 7.52

they spent $7.52 on other items

CD player: $120, 20% markup (show work)

Answers

The answer is 144 dollars, as 120 * 1.2 = 144.

find the gradient of the line between each pair of points A(2,2) and B(6,6)

Answers

In other words, find the slope of the line connecting the points (2,2) and (6,6).
6-2
This slope is m = ------------ = 1
6-2

collection of dimes and quarters has a total of $19.55. If there are three times as many quarters as dimes, find the number of each?

Answers

Use one equation for the number of coins and another equation for the value of the coins.

Let d = number of dimes.
Let q = number of quarters.

Number of coins:
q = 3d

Value of the coins:
A dime is worth $0.1
A quarter is worth $0.25

0.1d + 0.25q = 19.55

Now solve the two equations as a system of equations.

q = 3d
0.1d + 0.25q = 19.55

Since the first equation is already solved for q, replace q with 3d in the second equation.

0.1d + 0.25(3d) = 19.55

0.1d + 0.75d = 19.55

0.85d = 19.55

d = 23

q = 3d = 3(23) = 69

There are 23 dimes and 69 quarters.

Check:
23 dimes are worth 23 * $0.1 = $2.30
69 quarters are worth 69 * $0.25 = $17.25
The total value is $2.30 + $17.25 = $19.55
Also 69 is 3 times 23, so the number of quarters is indeed three times the number of dimes.
Our answer is correct.

At State College, the cost of tuition is $6168, housing is $3280, the meal plan is $2190, and books cost $1200. How much would you need to pay to attend State College for 4 years given your family will contribute $17,600?

Answers

Let's calculate the total cost per year:
6168 + 3280 + 2190 + 1200 = 12,838.
Four years will cost 12838 x 4 = 51,352
Your family will help you out with 17,600, so you will need to pay:
51352 - 17600 = 33,752

graph the linear equation. Find 3 points to solve the equations. -5x+2y=11

Answers

Sent a picture of the solution to the problem (s).

A farmer harvested 35 acres of corn and 20 acres of beans. Animals ate 1/8 of the corn he originally planted. how many acres of corn did the farmer plant?

Answers

now..... we're assuming here, that the farmer planted "more than 35 acres" of corn, so, he planted some amount of corn, but he only harvested a fraction of it, which is 35 acres, and we're assuming he gave those 35 acres of harvested corn to the livestock, so the animals ate 1/8 of the corn he planted.

That means, if the animals ate 1/8 of the corn, and the farmer gave the animals the whole of the harvested corn, then we can say that the 35 acres is just 1/8 of what he planted.

now, if 35 is 1/8, what is the whole? namely 8/8?

[tex]\bf \begin{array}{ccll} \stackrel{corn}{amount}&\stackrel{corn}{fraction}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 35&\frac{1}{8}\\\\ c&\frac{8}{8} \end{array}\implies \cfrac{35}{c}=\cfrac{\quad \frac{1}{8}\quad }{\frac{8}{8}}\implies \cfrac{35}{c}=\cfrac{1}{8}\cdot \cfrac{8}{8} \\\\\\ \cfrac{35}{c}=\cfrac{1}{8}\implies 280=c[/tex]

Lilia parked her 18 model cars in equal rows. 3time6. Write another way lilia could arrange her cars in equal rows

Answers

she could do 2 rows with 9 cars. 2x9

Divide 18 by 2 and you get 9. Therefore you can arrange them by 9x2=18

Quadratic word problem:

A number minus 8 times its reciprocal equals 2. What is the number? (There may be more than one answer)

Answers

Final answer:

To solve the quadratic word problem, we set up the equation x - 8/x = 2 and simplify it to x^2 - 2x - 8 = 0. Using the quadratic formula, we find two possible values for x: -2 and 4.

Explanation:

To solve this quadratic word problem, we set up the equation: x - 8/x = 2. To simplify the equation, we multiply both sides by x to eliminate the denominator: x^2 - 8 = 2x. Rearranging the equation, we get x^2 - 2x - 8 = 0. To find the solutions, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a). Substituting the values from our equation, we have x = (2 ± √(2^2 - 4(1)(-8))) / (2(1)). Solving the equation, we find two possible values for x: x = -2 or x = 4.

Matty jogs 9 km/hr. Identify the correct conversion factor setup required to compute Matty's speed in m/s.

Answers

=9 * 1000 / 3600
=9000 / 3600
=2.5m/s

I hope this helps you

Answer:

2.5 m/s

Step-by-step explanation:

we have given that Matty jogs 9 km/hr

we have to convert 9 km/hr to m/s

we know, 1 km= 1000 m

and 1 hr= 60 minutes and 1 minute= 60 seconds

which implies that 1 hr=60 x 60 = 3600 seconds

now, to convert km/hr into minute/second we have to multiply it by 1000/3600 or 5/18

i.e. 9×1000/3600= 5/2=2.5 m/s

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