The probability of event A is 0.48, the probability of event A and B is 0.21, and the probability of events A or B is 0.89. What is the probability of event B?

Answers

Answer 1

Answer:

[tex] P(A)= 0.48, P(B)= ?, P(A \cap B)= 0.21, P(A \cup B) =0.89[/tex]

And for this case we can use the total rule of probability given by:

[tex] P(A \cup B) = P(A) +P(B) -P(A\cap B)[/tex]

And if we solve for [tex] P(B) [/tex] we got:

[tex] P(B)= P(A \cup B) -P(A) +P(A \cap B)[/tex]

And replacing we got:

[tex] P(B) = 0.89 -0.48 +0.21= 0.62[/tex]

Step-by-step explanation:

We have the following probabilities given:

[tex] P(A)= 0.48, P(B)= ?, P(A \cap B)= 0.21, P(A \cup B) =0.89[/tex]

And for this case we can use the total rule of probability given by:

[tex] P(A \cup B) = P(A) +P(B) -P(A\cap B)[/tex]

And if we solve for [tex] P(B) [/tex] we got:

[tex] P(B)= P(A \cup B) -P(A) +P(A \cap B)[/tex]

And replacing we got:

[tex] P(B) = 0.89 -0.48 +0.21= 0.62[/tex]

Answer 2

Answer:

0.62

Step-by-step explanation:


Related Questions

What is 3a + 7b x 14c - 4b ?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

2(7c - 2b)

▹ Step-by-Step Explanation

3a + 7b * 14c - 4b

14c - 4b → 2(7c - 2b)

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

2(7c - 2b)

Step-by-step explanation:

3a + 7b x 14c - 4b

3a + 3b x 14c

14c - 4b = 2(7c - 2b)

Drag each tile to the correct location on the algebraic problem. Not all tiles will be used. Fill in the missing steps and justifications used to solve the given equation.

Answers

RIGHT SIDE

3: Simplification

4: Subtraction property of equality

LEFT SIDE

4: 6x -7 + 7 = 12 + 7

7: x=19/6

Hope this helped!

<!> Brainliest is appreciated! <!>

Simplification

[tex]6x-7+7=12+7[/tex],  addition property of equality

[tex]x =\frac{19}{6}[/tex]

According to the given question.

We have a equation

[tex]4x-7=-2x+12[/tex]

The following steps which are required to solve the above equation are

Step 1:

[tex]4x - 7 = -2x + 12[/tex]   (given)

Step 2:

[tex]4x - 7+ 2x = -2x + 12 + 2x[/tex]    (addition property of equality)

Step 3:

[tex]4x - 7 + 2x = -2x +12+2x\\\implies 6x-7 = 12[/tex] (simplification)

Step 4:

[tex]6x -7 + 7 = 12 +7[/tex]                 (addition property of equality)

Step 5:

[tex]\implies 6x = 19[/tex]                                  (simplification)

Step 6:

[tex]\frac{6x}{6} =\frac{19}{6}[/tex]                                      ( division property of equality)

Step 7:

[tex]x = \frac{19}{6}[/tex]                                            (simplification)

Hence, the value of x in [tex]4x-7 = -2x + 12[/tex] is [tex]\frac{19}{6}[/tex].

Find out more information about addition, subtraction, and division property of equality here:

https://brainly.com/question/13130806

#SPJ3

Problemas de algoritmo a, um buso se encuentra a 12m bajo el nivel del mar ,si sube 3 m ,cual sera su nueva posicion ,rrepresenta numeros enteros,positivo y negativo

Answers

Answer:

9 metros bajo el nivel del mar

Step-by-step explanation:

Aquí, tenemos un autobús que está a 12 metros bajo el nivel del mar.

Ahora, el autobús ganó algo de altura y subió 3 metros hacia arriba Debemos entender que el autobús todavía está bajo el nivel del mar pero a un nivel más alto en relación con el fondo del mar.

Por lo tanto, la altura del autobús sería + 3 + (-12) = 3-12 = -9 Esto muestra que el autobús todavía está a 9 metros bajo el nivel del mar.


-X2 - 2x - 2 over
X-2 ?
What is the graph of the function f(x) =

Answers

Answer:

Hope this helps!

Step-by-step explanation:

A movie theater has a seating capacity of 153. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1100, How many children, students, and adults attended? Children Attended= ? Students Attended= ? Adults Attended=? PLEASE ANSWER ASAP

Answers

Answer:

x (children) = 58

y (students) = 66

z (adults) = 29

Step-by-step explanation:

Step 1: Write system of equations

x + y + z = 153

5x + 7y + 12z = 1100

1/2x = z

The best way to solve the systems of equations is to use an augmented matrix:

Top row: [1 1 1 | 153]

Middle row: [5 7 12 | 1100]

Bottom row: [1/2 0 -1 | 0]

And then put it in RREF form:

Top row: [1 0 0 | 58]

Middle row: [0 1 0 | 66]

Bottom row: [0 0 1 | 29]

A line has____rotational symmetry,

Answers

Answer:

two-fold

Step-by-step explanation:

you can rotate it one other way for it to look the exact same, meaning there are a total of 2 ways to rotate it

Answer:

A line has two-fold rotational symmetry; A

Step-by-step explanation:

One fold when it is turned 180°

And another fold when it is turned 360°

Hope that helps!!

Choose the correct equation type for each system.

Answers

Answer:

first one

Step-by-step explanation:

Please help me I need help
If the diameter of a circle is doubled, the circumference of the new circle is..
A. 1/4 of the circumference of the original circle
B. 1/2 of the circumference of the original circle
C. The same as the circumference as the original circle
D. 2 times the circumference of the original circle
E. 4 times the circumference of the original circle

Answers

Answer:

D

Step-by-step explanation:

Let's call the original diameter x. Then, the circumference would be xπ. If the diameter is 2x, the circumference is 2xπ. 2xπ / xπ = 2 so the answer is D.

Answer:

D. 2 times the circumference of the original circle

Step-by-step explanation:

The circumference of a circle is represented by the formula C = 2(r)pi (where is r is the radius), which can also be written as C = (d)pi, where d is the diameter, (since 2r is equivalent to d). If the diameter is doubled, the original equation can be rewritten as C = 2(d)pi. Therefore, the circumference of the new circle is double the original circle.

You can plug in a sample number to further prove this point. Pretend r = 3 so d = 6. C = 6pi. Now when the diameter is doubled, d = 12 and C = 12pi which is double 6pi.

So the answer is D. 2 times the circumference of the original circle  

What is the product of (2p + 7)(3p2 + 4p – 3)?

Answers

Answer:

The product of the polynomials is 6p³ + 29p² + 22p - 21

Step-by-step explanation:

(2p + 7)(3p² + 4p - 3)

Use the foil method to multiply.

6p³ + 8p² - 6p + 21p² + 28p - 21

Combine like terms. Make sure you put the equation in standard form. This means that the exponential numbers will be ordered in descending form.

6p³ + 29p² + 22p - 21

the answer is 6p3+2p2+49p-21

Find the height of the cylinder with the volume of 271.4 and a cylinder radius of 6. Round to nearest tenth PLEASE HELP!

Answers

Answer:

2.4.

Step-by-step explanation:

the formula of the volume of a cylinder is ; πr²h.

so, we will have to substitute with the formula.

3.14 × 6 × 6 × h = 271.4

113.04h = 271.4

divide both sides by the number next to the unknown, which is 113.04.

you will get 2.4009200........

when u round off to the nearest tenths, you will get 2.4.

At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?

Answers

Answer:

see below

Step-by-step explanation:

$11.60 for $5

1. Find the rate.

$11.60 divided by $5= $2.32

2. 1 gemstone= $2.32

Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.

Answer:

D) x/11.60= 1/5

Step-by-step explanation:

Please answer this question now in two minutes

Answers

Answer:

y = -4x

Step-by-step explanation:

Since it gives you that m = -4 and that the y-intercept is at (0, 0), we simply plug it into y = mx + b

y = -4x + 0

y = -4x

What are the properties of the point (2, 0) in this graphed function? {graph pictured below} A. It is a relative maximum and a y-intercept. B. It is a relative maximum and an x-intercept. C. It is a relative minimum and a y-intercept. D. It is a relative minimum and an x-intercept.

Answers

Answer:

It is a relative minimum and an x-intercept.

The following data points represent how many houses Gregg the Garbage Man visited each day last week.
12,28,33,37,23,14,9
use the data,and create a histogram

Answers

Answer:

Here we want to create a histogram of:

Number of houses Vs day.

First you need to create a rectangular coordinate axis.

In the x-axis you will divide the days as:

day 1, day2, day3 etc

in the y-axis you will measure the number of houses visited.

then, for the first day our height will be 12 units

for the second day, our height will be 28 units...

and so on.

Remember that for histograms you need to use columns.

Then, our histogram will look like:

Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 1 and is labeled B. A closed circle appears at positive 2 and is labeled C. A closed circle appears at positive 8 and is labeled D.

Answers

Answer:

The answer is given below

Step-by-step explanation:

The addition postulate for line segment states that if we have points A, C and a point B on line AC, The distance between points A and C can be given as:

AC = AB + BC

Point A is at -6, point B is at -1, point C is at +2 and point D is at point 8.

Therefore using line segment postulates:

AD = AB + BC  + CD

But AB = -1 - (-6)= -1 + 6 = 5

BC = 2- (-1) = 2 +1 = 3

CD = 8 - (+2) = 8 - 2 = 6

Also AD = 8 - (-6) = 8 + 6 = 14

To prove AD = AB + BC  + CD

AD = 5 + 3 + 6 = 14

Someone help me plz​

Answers

Answer: x = 3

Step-by-step explanation:

The area of a triangle is 1/2bh.  Thus, the area of the triangle is 30.  The area of a rectangle is lw.  Thus it is 10x here.  Thus, 10x = 30 and x = 3.

Hope it helps <3

Answer:

x = 3

Step-by-step explanation:

To find the area the area of a triangle is 1/2 b×h

that will be 1/2× 5×12 = 30

since the area of the triangle is equal to the area of the rectangle, and the area of a rectangle is l×b so l= x ; b= 10 so x × 10 = 30

= 10x= 30 divide both sides by 10 = 3

so x = 3

Which expression is equivalent to
(4^5/4.4^1/4/4^1/2

Answers

Answer:

Which expression is equivalent to ((4^((5)/(4)).4^((1)/(4)))/(4^((1)/(2))))^((1)/(2))?

The following are the temperatures of 10 days in winter in °C. 8, 3, -1, 6, 0, 5, 2, 9, -2, 0 Work out the mean temperature

Answers

Answer:

The mean temperature is O

Step-by-step explanation:

A music store sells only CDs. The manager buys the CDs for $8.00 each and sells them for $15.00 each. The monthly operating expenses total $10,000. How many CDs must the store sell each month to break even and start making profits?

Answers

Answer:

1,429

Step-by-step explanation:

You have 7 dollars profit for each CD sold. 10,000 divided by 7 is 1,428 so you must have atleast one more than that to have profit (although it would be very small)

Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.

Answers

Answer:

From Dial it, we have plans of $16 per 2 gb.

then the ratio is (number of gb you get):price

in this case:

2:16 or we can reduce it to 1:8

this means that per each Gigabyte, you pay 8 dollars. 1:8

Ring Ring has plans of $9 per 1gb

then the ratio of gb to Dollars is 1:9

And the ratio between the prices of the companies is: 8 to 9 or 8:9

which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.

Answer:

Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.

Which number is a factor of 51?

Answers

factors of 51 are  1, 3, 17,  51

Answer:

1 × 51 = 51

3 × 17 = 51

_________

1, 51, 3, 17 are all factors of 51!

51 is composite.

What is the unit rate of each point (10,2.4) (15, 3.6) (17.5, 4.2)

Answers

Answer:

0.24

Step-by-step explanation:

Given the points (10,2.4) (15, 3.6) (17.5, 4.2)

The unit rate is the slope of the line joining any of the two points.

Using points (10,2.4)  and (15, 3.6)

[tex]Slope, m=\dfrac{3.6-2.4}{15-10} \\=\dfrac{1.2}{5} \\\\=\dfrac{6}{25}[/tex]

=0.24

Using points (10,2.4)  and (17.5, 4.2)

[tex]Slope, m=\dfrac{4.2-2.4}{17.5-10} \\=\dfrac{1.8}{7.5} \\\\=\dfrac{6}{25}\\=0.24[/tex]

Therefore, the unit rate for each point is 0.24

What is the domain of the function shown in the graph?
8
6+
4+
2+
N1
+21
-4
-6
-8
A. Ico
B.-00 C. I > -1
D. 1 3 - 1

Answers

Answer:

all the answers are wrong

Answer:

x ≥ -1

Step-by-step explanation:

The domain is the possible input values or x values for this graph

X can be from 0 to infinity

The best choice out of the ones listed is

x ≥ -1

A university would like to estimate the proportion of fans who purchase concessions at the first basketball game of the season. The basketball facility has a capacity of 3 comma 600 and is routinely sold out. It was discovered that a total of 210 fans out of a random sample of 500 purchased concessions during the game. Construct a​ 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.

Answers

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 500

x = 210

p = 210/500 = 0.42

q = 1 - 0.42 = 0.58

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Therefore, the 95% confidence interval to estimate the proportion of fans who purchased concessions during the game is

0.42 ± 1.96√(0.42)(0.58)/500

= 0.42 ± 0.043

Which of the following is equivalent to 18 minus the square root of -25

Answers

Answer:

Undefined

Step-by-step explanation:

Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.

Answer:

18-5i

Step-by-step explanation:

I can't see the answer choices but all you have to do is simplify this equation.

18-√-25

What is the square root of -25?

Well first we make the -25 into 25 because we can't do anything with a negative.

So square root of 25 is 5

Now plug 5 into the equation

18-5

Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.

Hope this Helps!

A region is bounded by semicircular arcs constructed on the side of a square whose sides measure 2/\pi, as shown. What is the perimeter of this region?

Answers

Answer:

4

Step-by-step explanation:

The perimeter of the region is equal to the sum of the perimeter of the four semicircular arc. Since the semicircular arcs have the same measure, therefore:

Perimeter of region = 4 × Perimeter of semicircular arc.

The side of the square = diameter of the semicircle = 2/π.

The radius of semicircle = diameter/2 = [tex]\frac{2/\pi}{2} =\frac{1}{\pi}[/tex]

The perimeter of a semicircle = perimeter of a circle ÷ 2

[tex]Perimeter\ of \ semicircle = \frac{perimeter\ of\ circle}{2}=\frac{2\pi r}{2}=\frac{2\pi (\frac{1}{\pi} )}{2} =1\\ Perimeter\ of\ region = 4*Perimeter\ of \ semicircle=4*1=4\[/tex]

A survey asked people whether their pets are picky eaters. For these results,
are being a picky eater and being a dog independent or dependent events?
Justify your answer

Answers

Answer:

The probability for the dependent and the independent picky eater and not picky is similar in case of dependent variable and is different in case of independent variable.

Step-by-step explanation:

Independent variable is defined as the variables that are being manipulated, changed, or altered in a specific experiment or research in order to see its effect on the dependent variable.

The dependent variable is defined as the variable that is being measured or tested in a particular experiment or research by the investigator.

In the question above, as mentioned in the image or attachment, the probability of dog being picky or non-picky eater can be both dependent and independent in the different scenarios.

Let h(x) = 3x – 7. If h(x) = 0, find x.

Answers

[tex]h(x)=3x-7[/tex]

And we are given that [tex]h(x)=0[/tex] and want to find the value of x. Set h(x) to 0 and we get the equation:

[tex]3x-7=0[/tex]

Add both sides by 7

[tex]3x=7[/tex]

Divide both sides by 3

[tex]x=\dfrac{7}{3}[/tex]

This is the answer (as an improper fraction). Let me know if you need any clarifications, thanks!

[tex]\text{Plug in 0 to h(x) and solve:}\\\\0=3x-7\\\\\text{Add 7 to both sides}\\\\7=3x\\\\\text{Divide both sides by 3}\\\\\frac{7}{3}=x\\\\\boxed{\frac{7}{3}=x}[/tex]

Radium-226 was discovered by Marie-Curie in 1898.
The notebooks she used were contaminated with radium-226 and are still hazardous.
Explain why the notebooks are still hazardous. (2) *

Answers

Answer:

The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.

Step-by-step explanation:


What percent of discount should be given in a doll costing Rs 180
such that a customer can buy at Rs 160?​

Answers

Answer:

11.11%

Step-by-step explanation:

So the question is:

$180 * (x)% = $y

Therefore $180 - $y = $160

Now:

180 - 160 = 20

Therefore; $20 is the discount

Now per cent of discount:

20/180 * 100 = 11.111111111111111111111%

therefore: per cent of discount is 11.11% (rounded to two decimal place)

Answer:

11.11 %

Step-by-step explanation:

Costing Price = Rs 180

Selling Price = Rs 160

Discount = C.P - S.P

=> 180-160

=> Rs 20

In %age:

=> [tex]\frac{20}{180} * 100[/tex]

=> 11.11 %

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Explain the fermentation process and provide examples of food products that exist as a result of fermentation. What does fermentation have to do with baking? Explain the correlation between the two. Suppose you draw a single sample of size 64 from a large population and measure its sample proportion. What is the margin of error for 95% confidence?(a) 5% (b) 6.25% (c) 12.5% (d) 95% 8. What base in DNA pairs with adenine?A cytosineBuracilC thymineD guanine The chemical formula for barium oxide is BaO. A chemist determined by measurements that 0.065 moles of barium oxide participate in a chemical reaction. Calculate the mass of barium oxide that participates. What is 62 in expanded form?A. 2 x 2 x 2 x 2 x 2 x 2 B. 6 x 6 C. 12 D. 36 who wrote hobbit. give a short summary The key schedule results in generating multiple keys from the one secret key. These multiple keys are used: a. in multiple sessions of communications one after the other. For example, if someone has 12 keys, they can use it for twelve video calls one after the other. b. such that one of them is picked up at random at a time. c. some as private keys, some as public keys. d. for different rounds of encryption for the same plaintext to strengthen the cipher. Carlton is describing one of his dreams to his therapist. The events he remembers and is able to share constitute the ___ content of his dream. Work out the temperature after this change. The temperature starts at 2 C and it falls by 8 C. FLVS FITNESS LIFESTYLE AND DESIGN 1.11 DBA hi im really nervous i have my first DBA tomorrow for the flvs class fitness lifestyle and design. if anyone has already done it can you please explain to me some of the stuff the teacher asked on it? i get really nervous for DBA's lol i have 2 questions in a section 1. Translate the following phrase into an algebraic expression. Use the variable c to represent the unknown quantity. the total of the number of cars in the garage and the 6 cars outside 2.Translate the following phrase into an algebraic expression. Use the variable d to represent the unknown quantity. the number of dollars Paul owes minus 32 Forrester Company is considering buying new equipment that would increase monthly fixed costs from $120,000 to $150,000 and would decrease the current variable costs of $70 by $10 per unit. The selling price of $100 is not expected to change. Forrester's current break-even sales are $400,000 and current break-even units are 4,000. If Forrester purchases this new equipment, the revised break-even point in dollars would be:Multiple Choice$375,000.$325,000.$500,000.$400,000.$300,000. Square root of 3,689 Meiosis reduces chromosome number and rearranges genetic information. Explain how the reduction and rearrangement are accomplished in meiosis. Several human disorders occur as a result of defects in the meiotic process. Identify one such chromosomal abnormality; what effects does it have on the phenotype of people with the disorder PLEASE HELP! WILL MARK AS BRAINLIEST! Which shapes have the same volume as the given rectangular prism? The CPU control unit is responsible for A. obtaining instructions B. interpreting instructions C. all logic functions D. both A and B Solve for g. 3/16 = (-5/4) + g Trak Corporation incurred the following costs while manufacturing its bicycles.Bicycle components $100,000 Advertising expense $45,000 Depreciation on plant 60,000 Property taxes on plant 14,000 Property taxes on store 7,500 Delivery expense 21,000 Labor costs of assembly-line workers 110,000 Sales commissions 35,000 Factory supplies used 13,000 Salaries paid to sales clerks 50,000 Required:Identify each of the above costs as direct materials, direct labor, manufacturing overhead, or period costs. 1. View the cartoon below. Describe how this cartoon illustrates interphase.