Given P(A) = 0.36, P(B) = 0.2 and P(ANB) = 0.122, find the value of P(AUB), rounding to the nearest thousandth, if necessary.​

Answers

Answer 1

Answer:

The value of P(AUB) = 0.438

Step-by-step explanation:

Given:

P(A) = 0.36

P(B) = 0.2

P(A∩B) = 0.122

Find:

The value of P(AUB)

Computation:

P(AUB) = P(A) + P(B) - P(A∩B)

The value of P(AUB) = 0.36 + 0.2 - 0.122

The value of P(AUB) = 0.56 - 0.122

The value of P(AUB) = 0.438


Related Questions

(X, Y) satisfy the equation? JW Is (-94,-5) a solution to the equation y = x + 89? yes no​

Answers

Answer:

si

Step-by-step explanation:

si  :v

Answer:

yes

Step-by-step explanation:

y = x + 89

-5 = -94 + 89

-5 = -5

Twenty of the 50 digital video recorders (DVRS) in an inventory are known to be detective What is the probability that a randomly selected item is defective?​

Answers

Answer:

3/5

Step-by-step explanation:

Remember that odds for plus odds against must be 1. Therefore, 20 out of 50 of the DVRs are defective, so 30 out of 50 would work.

30/50

simplifies into 3/5 so that would be the probability of you picking out a DVR that works, and the probability of picking one that does not work would be the leftover 2/5 . Or, if you're answering with a percent, you would have a 60% chance of picking a working DVR.

I hope this helps, I know the explanation isn't really clear, but I can't really think of another way to explain it.

Which expression can be used to convert 22 Australian dollars to US dollars?
Assume 1.2 Australian dollars equals 1 US dollar.
O $22 AUD X
1.2 USD
1 AUD
O $22 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1 USD
1.2 AUD
O $1.20 AUD X
1.2 USD
1 AUD

Answers

Answer:

The answer is B

Step-by-step explanation:

B

The 22 Australian dollar in USD is 18.33.

What is currency?

Currency is a medium of exchange for goods or services within an economy, usually issued by a government or central bank and generally accepted at its face value.

Given that, we need to determine that there are how many USD in 22 AUD,

So, 1.2 Australian dollars equals 1 US dollar.

Therefore,

22 AUD = 22 x 1 / 1.2 = 18.33

Hence, the 22 Australian dollar in USD is 18.33.

Learn more about currency, click;

https://brainly.com/question/14372075

#SPJ7

Whose solution strategy would work?

Answers

Answer:

1452628383763637£838

Answer:

B

Step-by-step explanation:

Can sb help me it’s due soon

Answers

Answer:

I think 84 but you may need to check just to be sure :)

PLEASE HELP! asap:)
i would really appreciate it

Answers

Answer:

[tex]{ \tt{ = 2\pi \: rh}} \\ = 2 \times 3.14 \times 12 \times 1 \\ = 75.4 \: {cm}^{2} [/tex]

pls help i need this answer

Answers

Decimal form 0.0625
Fraction form 1/16

I think,sorry if it’s wrong
In fraction form it’s 1/16

An 80-mile trip is represented on a gridded map by a directed line segment from point M(3, 2) to point N(9,
13). What point represents 60 miles into the trip? Show your work and explain your reasoning.

Answers

Answer:

Step-by-step explanation:

If the distance from M to N is 80 miles and we want to find the coordinates of the point 60 miles into the trip, we are looking for the point 3/4 of the way from M to N, since 60 is 3/4 of 80. This is the process:

First we need to consider that MN is a directed vector. We first find the components of the directed vector, which is found in the change in x and the change in y. First step, then, looks like this:

<Δx, Δy> = <9-3, 13-2> = <6, 11> We will call those the x and y components of the vector (which comes from vector study in both physics and math, so if you don't understand that, it's ok! Just follow the process here and you'll be fine). Knowing that 60 is 3/4 of the way from M to N, we find 3/4 of both the x and y components, like this:

[tex]<\frac{3}{4}(6), \frac{3}{4}(11)>[/tex] which will give us 3/4 of the change in x and 3/4 of the change in y:

[tex]<\frac{18}{4},\frac{33}{4}>=<4.5,8.25>[/tex]

Since we are going 3/4 of the way from M to N, we add that component to the x and y coordinates of M, giving us 3/4 of the way from M to N, which translates to 60 miles of the 80 mile trip:

(3 + 4.5, 2 + 8.25) = (7.5, 10.25)

Those are the coordinates of the point that represents 60 miles into the 80 mile trip.

A - H, please! thank you.

Answers

Answer:

First exercise

a) 1/8=0.125

b) 5$

c) y = 0.125 * x - 5

Second exercise

a) 0.11 $/KWh

b) no flat fee

c) y = 0.11 * x

Step-by-step explanation:

(See the pictures)

What does the point (1994, 400) on the graph represent?

Answers

Answer: There are 400 tadpoles in the year 1994.

This is because any point is of the form (x,y) where in this case

x = year number

y = tadpole population number

So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.

In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.

From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.

Help quick pls

The product of three different positive integers is equal to 7^3. What is the sum of the three integers?'

Answers

Answer:

it must be 21

Step-by-step explanation:

I have very fast I think giving test just thank the answer after test mark me brainliest

A certain medical test is known to detect 59% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:

Answers

Answer:

[tex]P(x = 3) = 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]p=59\% = 0.59[/tex]

Required

[tex]P(x = 3)[/tex] --- probability that 3 are afflicted

This question illustrates binomial probability and it is calcuated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 0.048[/tex]

Please help due incredibly soon!!!!

Answers

Answer:

The surface area is 116.

Step-by-step explanation:

Which of the following is TRUE * 1 point
(+6) x (-4) = -10
(+32) ÷ (˗8) = +4
(-5) - (-11) = + 6
(-7) + (+9) = -16

Answers

-5 minus -11 equals 6+

Write 48596 in standard form​

Answers

Answer:

forty-eight-thousand five-hundred and ninety-six

Real number: 48596
Standard form: 48596X10^4

Translations _______ side lengths of the figure. A. alter B. all of these C. change D. preserve

Answers

Answer:

alter I think I am small but also I know these

What is the scale factor from ABC to DEF?

Answers

Answer:

0 so D

Step-by-step explanation:

The shape didnt change at all. All the sides are 5 for both triangles.

C
Explanation: any side you have is multiplied by some sort of scale factor. In this instance, if you multiply the sides of ABC by a scale factor of 1, you will get the similar side lengths of DEF (the same as ABC)
Answer D may be tempting but multiplying your sides by 0 would make the triangle…well disappear :D

on a coordinate gride what is the distance between (1,3) and (6,15)

Answers

Answer:

13

Step-by-step explanation:

Distance between points (1, 3) and (6, 15) is 13

13 is the right answer for sure

Aslam's age is half of his father's age but 15 years ago his age was just
the father's age. Find his present age now.

Answers

Answer:

not possible or not determined is answer

Step-by-step explanation:

because let his father be 33

ad his son be 17

15 years ago

son will be 2

and father will be 18

not possible father's age ≠son's age in any respect unless and until father's age is decreased

Solve the following

(23-45)+(93÷6)×23 ​

Answers

334.5 ,699/2 , 334 , 1/2

Linda had dinner at a restaurant for $56 and leaves behind a tip of 18%. What is the tip amount?

Answers

Answer:

[tex] = \frac{18}{100} \times 56 \\ = 10.08 \: dollars[/tex]

Answer:

$10.08

Step-by-step explanation:

To solve for the tip amount, we multiply 56 by 0.18.

56 · 0.18 = 10.08.

Linda tipped $10.08.

if p-1/p = 4 Find (p+1/p)²​

Answers

Answer:

4

Step-by-step explanation:

[tex] \frac{p - 1}{p} = 4[/tex]

Solve for p.

The numerator. difference has to be 4 times the answer of the denomiator.

So we can say

[tex]p - 1 = 4p[/tex]

Solve for p

[tex] - 1 = 3p[/tex]

[tex]p = - \frac{1}{3} [/tex]

Now plug this in for the other formula.

[tex]( \frac{ - \frac{1}{3} +1}{ \frac{1}{3} } ) {}^{2} = 2 {}^{2} = 4[/tex]

So

help me pls i dont get this

Answers

Answer: B. 80

Step-by-step explanation:

Solve the equation they've given you:

[tex]\frac{3}{4} S=60\\\frac{3S}{4} =60\\3S=60*4\\3S=240\\S=80[/tex]

Answer:

B.  80

Step-by-step explanation:

(3/4)S = 60

You want to isolate S. S is being multiplied by 3/4.

You need to multiply 3/4 by its reciprocal to get rid of the 3/4 on the left side.

The reciprocal of 3/4 is 4/3.

The rule with equations is that you are allowed to multiplied both sides of an equation by the same number. Multiply both sides of the equation by 4/3.

4/3 * (3/4) * S = 4/3 * 60

12/12 * S = 4/3 * 60/1

1 * S = 240/3

S = 80

Answer: B.  80

10 points!!!!!:)

Describe the graph of the function.

[tex]y = \sqrt{x + 3} [/tex]
a). the graph is a radical function y=sqrt(x) shifted 3 units right.
b). the graph is a radical function y=sqrt(x) 3 units left.
c). the graph is of exponential growth.
d). the graph is an absolute value function with vertex (-3,0).

pls help me:).

Answers

Answer:

b) y=sqrt(x) shifted 3 units left

Step-by-step explanation:

3rd line in the attached table:

f(x+3) = sqrt(x+3) horizontal translation left 3 units

I need help on my math!!!!!!!

Answers

Answer:

67

Step-by-step explanation:

GOOD LUCK!!

If x = 3, y = -2 and z=
-5, evaluate 3y2-5x/3xz

Answers

Answer:

12-15/ - 45=

3/-45

=-15

Step by step explanation:

Which expression is equivalent to −10x−10+2x+9?

Answers

Answer:

-8x - 1

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

-10x - 10 + 2x + 9

Step 2: Simplify

Combine like terms (x):                                                                                        -8x - 10 + 9Combine like term:                                                                                              -8x - 1

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{-10x - 10 + 2x + 9}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{-10x + 2x - 10 + 9}[/tex]

[tex]\large\textsf{-10x + 2x}\\\\\large\textsf{ = \bf -8x}[/tex]

[tex]\large\textsf{-10 + 9}\\\\\large\textsf{ = \bf -1}[/tex]

[tex]\boxed{= \large\textsf{\bf -8x - 1}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -8x - 1 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The yearly cost in dollars y, for a member at a video game arcade based on total game tokens purchased, x, is y=1/2x+6. A nonmember pays $20 per game token, but no yearly fee. Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?

Answers

Answer:

y = 20x

Step-by-step explanation:

For members

y = 1/2x + 6

Where,

y = yearly cost in dollars

x = total game tokens purchased

1/2 = cost of each game token

6 = yearly fee

For non members: without yearly fee

A nonmember pays $20 per game token

y = 20x represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year

Answer:

B,C,E

Step-by-step explanation:

Got it right on Edge

What is the equation of the line graphed below?

Answers

Answer:

y=2/5x

Step-by-step explanation:

Rise over run: you rise by 2, run by 5. Or you can use the slope formula: m=y2-y1/x2-x1

2-0/5-0=2/5=m

x/2-y+6=0 in slope intercept form

Answers

Answer:

[tex]y= \frac{1}{2} x +6[/tex]

Step-by-step explanation:

[tex]x/2-y+6=0[/tex]

[tex]x/2 +6=y[/tex]

[tex]y= \frac{1}{2} x +6[/tex]

Other Questions
The prisoners could have left at any time, and yet, they didn't. Why? :The width of a rectangle is 5 cm more than triple its length. The perimeter of therectangle is 240 cm. What is the length and width of the rectangle? What is [30-5[ +] -7] Plants convert carbon dioxide and water into glucose in presence of sunlight via ________. hydrolysis retrosynthesis Killiani synthesis photosynthesis none of these Please help me need this ASAP every action has its pleasures and its priceWhy is this important What is the equation of the graph Which real words do these nonsense words remind you of? brillig_____ Slithy_____ Mimsy_______ Frumious________ 1. Explica cmo te sentiste al leer el fragmento de esta autobiografa. Cmocrees que se sinti Manzano en losmomentos difciles que tuvo que afrontar? Piensas que reaccionarascomo Manzano en una situacin comola suya? Why did civilizations first arise along the Fertile Crescent?A. Animals in this area were very fertile.B. The region had natural stones and metals for making tools.O C. The fertile soil led to crop production.D. Ancient people believed women were more fertile there. 25.Which of the following comes from a Greek word meaning "view"?a.b.zoionnomosautosopsisC.d. What are at least 3 strengths and 3 weaknesses of a newspaper article? Noticing large amounts of algal growth in her small farm pond, a farmer adds about 20 grass carp to feed on the abundant algae and plants. After several years, the carp grow large, exceeding 20 pounds each in size. Late one summer, the farmer notices that the carp and most of the other fish are dead. The water also smells very bad. Which one of the following is the most likely explanation for the death of these fish? A. the algae overgrew the pond and produced toxic levels of ozone B. carbon dioxide released by the carp and algae eventually suffocated the fish in the pond C. the large carp grew so large that they could not get enough oxygen D. bacteria feeding on the large volume of carp feces depleted the oxygen Ida Sidha Karya Company is a family-owned company located in the village of Gianyar on the island of Bali in Indonesia. The company produces a handcrafted Balinese musical instrument called a gamelan that is similar to a xylophone. The gamelans are sold for $910. Selected data for the companys operations last year follow: Units in beginning inventory 0 Units produced 310 Units sold 280 Units in ending inventory 30 Variable costs per unit: Direct materials $ 130 Direct labor $ 350 Variable manufacturing overhead 50 Variable selling and administrative 40 Fixed costs: Fixed manufacturing overhead $ 62,000 Fixed selling and administrative $ 26,000 The absorption costing income statement prepared by the companys accountant for last year appears below: Sales $ 254,800 Cost of goods sold 204,400 Gross margin 50,400 Selling and administrative expense 37,200 Net operating income 13,200Required:1. Determine how much of the ending inventory consists of fixed manufacturing overhead cost deferred in inventory to the next period.Total fixed manufacturing overhead in ending inventory: ?2. Prepare an income statement for the year using variable costing. 13. Evaluate the function rule for the given value.y = 4.2X for x = -6Btw the x is the small exponent I wonder, when I look at the bombed out peasant hamlets, the orphans begging and stealing on the streets of Saigon and the women and children with napalm burns lying on the hospital cots, whether the United States or any nation has the right to inflict this suffering and degradation on another people for its own ends. How do the allusions in this excerpt reinforce the meaning of the passage SOMEONE HELP ASAP PLEASE el jefe decidi agregar la tabla de frecuencias correspondiente a la edad de sus empleados tal Como se muestra a continuacin Cul es el promedio de edad de los empleados de la empresa What right is protected by the Second Amendment?A. The right to peacefully assemble.B. The right to vote.C. The right to bear arms.D. The right to practice any religion. Tim is a single father with 1 child. He can work as a bagger at the local grocery store for $6 per hour up to 1,200 hours per year. He is eligible for welfare, and if he does not earn any income, he will receive $15,000 a year. If Tim works, the government policy is to deduct 60 cents from his welfare stipend for every $1 that he earns in income. This government policy provides a monetary incentive to work, because Oxygen is a diatomic element.why give reason.