Suppose A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3, what is P(AB)?
A. 0.22
B. 0.11
C. 0.165
D. 0.275

Answers

Answer 1

Answer: C. 0.165

Step-by-step explanation:

Answer 2

The value of P(A∪B) = 0.835

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that, A and B are dependent events. If P(AIB) = 0.55 and P(B) = 0.3,

0.55 = P(A∩B) / 0.3

P(A∩B) = 0.165

P(A) = 1-P(B)

P(A) = 1-0.3

P(A) - 0.7

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 0.3+0.7-0.165

P(A∪B) = 0.835

Hence, the value of P(A∪B) = 0.835

Learn more about probability, click;

https://brainly.com/question/30034780

#SPJ7


Related Questions

Find the product of smallest natural number and the smallest whole number , 보라해 ​

Answers

Answer:

smallest whole number is 0 so product of 0 is 0

smallest natural number is 1 so product of 1 is 1

Simplify -14x > -3 please needed very fast please

Answers

Answer:x < 3/14

Step-by-step explanation:

-14x > -3

x < 3/14

Answer: x<3/14

Step-by-step explanation:

It takes $5 in gas to drive 26 miles. How much does each miles cost?

Answers

Answer:

$5.20

Step-by-step explanation:

divide 5 dollars by 26 miles.

26 miles÷ $5 = $5.20

A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $275 each, and the desktop computers cost $175 each. How much would it cost to buy 10 notebooks and 16 desktop computers? How much would it cost to buy nn notebooks and dd desktop computers?

Write the equation for total cost, nn notebooks and dd desktop computers:

Answers

The cost to buy 10 notebooks and 16 desktop computers is $5550

Cost of notebook computers = $275

Cost of desktop computers = $175 each

The cost to buy 10 notebooks and 16 desktop computers will be:

= 275(10) + 175(16)

= 2750 + 2800

= $5550

The cost to buy n notebooks and d desktop computers will be:

= 275(n) + 175(d)

= 275n + 175d

Read related link on:

https://brainly.com/question/23281416


Using complete sentences, explain which function has the greatest y-intercept.

Answers

Answer:

Step-by-step explanation:

this is correct trust me im learning this and passing the concept h(x)=2+3

and f(x)=3x-2

Here is a tip use desmos it is a graphing calculater and will tell you the answer

Please help me math

Answers

Answer:

5.66

Step-by-step explanation:

State Pythagoras' theorem

a² + b² = c²

→ Substitute in the values

4² + 4² = c²

→ Simplify

32 = c²

→ Square root both sides

√32 = c

Answer:

Step-by-step explanation:

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c= √32

c= 5.66

Solve this question for points

Answers

The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

What is a line graph?

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

Draw dots on each of the data element in the data set:

25 repeated 1 time

25 1/2 repeated 2 times

26 repeated 1 time

27 3/4 repeated 1 time

28 1/2 repeated two times

And so on.

Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

Learn more about the line graph here:

brainly.com/question/23680294

#SPJ1

.
The following shows the price of bowls at three stores.
• Store A: $15 for 5 bowls
• Store B: $8 for 4 bowls
• Store C: $30 for 10 bowls
Which store has the cheapest price for 1 bowl?

Answers

Answer: Store B

Step-by-step explanation:

So for Store A 5 bowls are $15

1 bowl = 15/5

          = 3

Same applies for all

Store b = $2

Store c = $3

Thus Store B is cheaper

find the total surface area of this cuboid
the cuboid has a length of 4cm and the width of 2cm and the height of 5cm

Answers

Answer:

SA = 76 cm²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

l = 4 cmw = 2 cmh = 5 cm

Substitute the values above and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(4)(2) + 2(2)(5) + 2(5)(4)

SA = 2(8) + 2(10) + 2(20)

SA = 16 + 20 + 40

SA = 76 cm²

Final answer: 76 cm²

Hope this helps!

Samantha has a solid with a certain density. She knows the mass of the solid is 170 grams and the volume of the object is 20 cubic centimeters. When she calculates the density of the solid, what units should Samantha use?

Answers

Answer:

Step-by-step explanation:

Comment

The formula for density is D = m/V

the units of mass are gramsThe units of volume is cm^3

Therefore the units of density is

Density = grams/cm^3

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1800 bacteria selected from this population reached the size of 2016 bacteria in two and a half hours. Find the hourly growth rate parameter.

Answers

so

number = a e^(kt)

2272 = 1800 e^(5k)

1.26222... = e^5k

ln 1.26222... = 5k

k = .04657.. <----- your hourly growth parameter

the instantaneous rate of growth is appr 4.657% per hour.

Find the degree of the monomial.4.5
8a b5

Answers

Answer: 17a

Step-by-step explanation: additon

What is the answer to 8+9

Answers

17 hope it helps brainliest

Translate the triangle.
Then enter the new coordinates.

Answers

Answer:

see explanation

Step-by-step explanation:

the translation < 3, 2 >

means add 3 to the original x- coordinate and add 2 to the original y- coordinate, then

A (3, 0 ) → A' (3 + 3, 0 + 2 ) → A' (6, 2 )

B (4, - 2 ) → B' (4 + 3, - 2 + 2 ) → B' (7, 0 )

C (1, - 3 ) → C' (1 + 3, - 3 + 2 ) → C' (4, - 1 )

EASY POINTS
Which of the following sets represents the range of the diagram below?

Answers

I think the answer is D

Answer:

D)

Step-by-step explanation:

This is a subjective function and range and co-domain are equal.

Range = {3 , 5 , 7}

Can i get some help, please

Answers

Answer:

65 degrees

Step-by-step explanation:

The degrees always has to add up to 180 degrees, so if you add 90 degrees and 25 degrees, you get 115 degrees. So since it has to be 180 degrees, you add 65 to 115, and you get 180 degrees.

Answer: 65 degrees . HOPE IT HELPS .

need help ASAp pleaseeeeeeeeeeeeeeeee

Answers

The answer is 2, simply because you need to make that negative sign a positive sign. To do that you will need to flip the numerator and denominator. Meaning that it will be 4/1 now. By doing this your exponent became positive! So if your teacher just wanted you just rewrite it, it would be (4/1)^1/2, but if you were to evaluate that, it would be 2

A group of 9 friends received a combined total of 233 text messages in two hours. One person received 25 messages. How many text messages did each of the other 8 friends receive if they each received the same number of messages as each other

Answers

If one person received 25 messages. Then the number of messages received by each friend will be 26.

What is division?

The division of something into distinct portions, or the sharing of something among other persons, locations, or things, is referred to as division.

A group of 9 friends received a combined total of 233 text messages in two hours. One person received 25 messages.

Then the number of the remaining messages will be

→ 233 - 25

→ 208

Then the number of the text messages that each of the other 8 friends receives is the same number of the messages. Then we have

Let each friend has an equal number of the messages be x. Then

[tex]\rm x = \dfrac{208}{8}\\\\x = 26[/tex]

More about the division link is given below.

https://brainly.com/question/369266

#SPJ1

An electrician uses 46 3/4 feet of push-back wire from a 200-foot roll. How many feet of wire are left on the roll?​

Answers

Answer:

153 1/4 feet

Step-by-step explanation:

Remaining

200 - 46 3/4153 1/4 feet

At the Natural History Museum, tickets cost $12 for adults and $4 for kids under 12. What would be the total cost for 3 adult tickets and 8 kids tickets? What would be the total cost for aa adult tickets and kk kids tickets?

Total cost, 3 adult tickets and 8 kids tickets:

Total cost, aa adult tickets and kk kids tickets:

Answers

Answer:

68

Step-by-step explanation:

if tickets cost $12 for adults and there are 3 adult tickets being bought the total cost for adult tickets will be $36

Now for the kids, the tickets cost $4 and there are 8 kids, so the total cost for the kids tickets is $32

so the total price for 3 adult tickets and 8 kids tickets is $68

------

sorry if I didn't answer right I cant tell if the last part is a typo or a question

Answer:

see below

Step-by-step explanation:

ok so there are 8 children and $4 so 4x8=32 and 3 adults for $12 so 3x12=36

36 + 32

3+3=6

6+2=8

36+32= 68

Geometry
PLS NEED HELP

Answers

Answer: B

All of the other options do not apply,

determine the mass of a sample of silver if 705 j of heat are required to raise its temperature from 25 c to 35 c. The specific heat of silver is 0.235 j/g c

Answers

Answer:

300g

Explanation:

heat added=specific heat * m * change in temp

705= .235* x*(35-25)

solve for x, thus the answer being 300g

74°
32°
to
Find the value of x

Answers

Answer: give the proper question

Step-by-step explanation: for solutions

Find the domain and range of the relation graphed below.

Answers

Answer:

Domain: -4 < x < 2

Range: -3 < y < 3

Find the area of the composite figure. First, find the area of the triangle.


Please help

Answers

Answer:

triangle: 28cm² | parallelogram: 88cm² | composite: 116cm²

Step-by-step explanation:

Find area of triangle (1/2)(base)(height)

(1/2)(8)(7)

(4)(7)

28cm²

Find area of parallelogram (base)(height)

(8)(11)

88cm²

Add them together to get the composite area

28 + 88 = 116cm²

the quotient of two numbers is 3 and their sum is 8 what are he two numbers

Answers

Translating Word Equations into Numerical Equations

To change words into equations, we can recognize keywords that translate into operations and/or numbers:

quotient = dividea number/the number/two numbers = variables sum = add

Solving the Question

Let the two numbers be a and b.

We're given:

quotient of a and b is 3
⇒ [tex]\dfrac{a}{b}=3[/tex]sum of a and b is 8
⇒ [tex]a+b=8[/tex]

First, isolate a in the first equation and substitute it in the second equation to solve for b:

[tex]\dfrac{a}{b}=3\\\\a=3b[/tex]

[tex]a+b=8\\3b+b=8\\4b=8\\b=2[/tex]

Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for a:

[tex]a+b=8\\a+2=8\\a=6[/tex]

Therefore, the other number is 6.

Answer

The two numbers are 2 and 6.

The annual mean thickness of the ice cover declined from a peak of 3.71 m in 1980 to a minimum of 2.46 m in 2000, What is the percent decrease in the annual mean thickness of the ice cover?​

Answers

Using it's equation, it is found that the percent decrease in the annual mean thickness of the ice cover was of 33.69%.

What is the percent decrease of an amount?

It is given by the decrease divided by the initial amount and multiplied by 100%.

In this problem:

The initial amount was of 3.71 m.The decrease was of 3.71 m - 2.46 m = 1.25 m.

Hence the percent decrease is given by:

P = (1.25/3.71) x 100% = 33.69%.

More can be learned about percent decrease at https://brainly.com/question/16930845

#SPJ1

The heights, in inches, of five people on a basketball team at listed below 65, 58, 64, 61, 67 explains the meaning of the meaning absolute deviation in context of the situation

Answers

Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

What is the mean absolute deviation of a data-set?

The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the mean is given by:

M = (65 + 58 + 64 + 61 + 67)/5 = 63.

Hence the mean absolute deviation is given by:

MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.

The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

More can be learned about mean absolute deviation at https://brainly.com/question/3250070

#SPJ1

find the perimeter of a triangle with vertices A(-3,5), B(-3,2), and C(1,2)

Answers



I’m not entirely sure, but I think that’s correct

For which values of x is the limit positive infinity when x
approaches the values from the left?

Answers

Answer:

The Answers are: 1) -3pi/2 & 4) pi/2

Step-by-step explanation:

I got it right!

Other Questions
2 3/10x-5/7y-4 5/6y-2 4/5x please help and simplify With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even number?50%6%46%54% Pls help no links giving brainliest Write the chemical equation for this reaction. Use the picture I provide! What type of circulatory system pumps hemolymph that bathes the organs and tissues with a simple heart through a few open blood vessels (the heart does NOT form a closed circuit with the blood vessels)?Group of answer choicesA. A primitive circulatory systemB. A closed circulatory systemC. An open circulatory systemD. A simple circulatory system if u want to u can answer question 19 and 20 but if u dont, just answer 19 ............................. the men in this cartoon represent . the men in the cartoon are trying to . the title of the cartoon suggests that men . Calculate the partialpressure of argon in agas mixture with a totalpressure of 2.4 atm.The partial pressuresof the other gases are:O2 = 128.0 mmHgHe = 167.5 mmHg andNe= 760.0 mmHg ____ - void Pa mer a valid Okay so, I'm doing Financial Literacy and I understand nothing. I would really appreciate any help. Brainliest + Bonus Points Please do NOT send links. Thank you! Can you help me out? Reading the directions to a test is important becausea. The directions may help you from being C. The directions explain what the teacher isconfused about how to answer a question thinkingb. The directions can give you the answers to ad. D. All of thesetest State the angle relationships for the following pairs of angles Two people meet for the first time. What is the probability that they both have the same birthday? Which of the following is an example of tax shifting?1. The legislature votes to increase the cigarette tax.2. The legislature raises the legal smoking age.3. A waitress does not report the cash tips she received as income.4. A wealthy school district is required to give some of its tax revenue to a poorer school district.5. A landlord raises the rent after his property taxes go up. A scale model of a building is 5 inches wide by 7 inches long. If the scale is 1 in ; 15 ft., how long is the building? A) 35ft. B) 75ft. C) 105ft. D) 180ft. how does cool roofs help the co2? 10. Congress may override a presidential veto with a ? A. Majority vote. C. Two-thirds vote B. Three-quarter vote. D. unanimous vote a triangle has two side lengths of 8.5 centimeters and 9.5 centimeters. What is a possible length for the third side? Explain why this is a possible length