If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).

Provide your answer below:

Answers

Answer 1

Answer:

P(B) = 0.20

Step-by-step explanation:

If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).

Provide your answer below:

We are given two events A and B and the formula for the probability of two events is given as:

P ( A ∪ B) = P(A ) + P( B ) - P( A∩ B)

Where:

P(A)=0.5

P ( A ∪ B) = P(A OR B)=0.54

P( A∩ B) = P(A AND B)=0.16

P(B) = ??

Hence, we have:

0.54 = 0.5 + P(B) - 0.16

Making P(B) subject of the formula

P(B) = 0.54 - 0.5 + 0.16

P(B) = 0.20


Related Questions

****time limit***********​

Answers

Answer:

This is the answer. All the very best. Do it

PLEASE PLEASE I SUCK AT MATH AND ITS ALL DUE FRIDAY PLEASE 10 piont !!! Select all the correct systems of equations.
Which systems of equations have infinite solutions?
2x + 5y = 31
6x - y = 13
2x + y = 10
-6x = 3y + 7
y = 14 - 2x
6x + 3y = 42
y = 13 - 2x
4x - 3y = -19
2x + y = 14
x = 13-2y
2x + y = 17
-6x = 3y - 51
Reset
Next

Answers

Answer:

2x + y = 17

-6x = 3y - 51

Step-by-step explanation:

You get an infinite number of solutions when two equations are really just the same. This means you can convert one into the other simply by multiplying one to get the other.

In the above answer, if you multiply the above by -3 you get:

-6x -3y = -51

which is of course -6x = 3y - 51

So that is an example of a pair that has infinite solutions.

To find all of them, you'd carefully have to compare each 2 and see if there is a multiplier to convert one into the other. You can do that!

I need help with this is this correct???

Answers

Answer:

NONONO the answer is C

Step-by-step explanation:

Multiply -3 by -1 gives 3. 3 plus 15 IS equal to 18!

Answer:

The answer is C

Step-by-step explanation:

3x+15=18

if x = -1

-3 (-1) + 15 = 18

negative times negative makes positive so

3+15=18

1/2y=4, x-1/2y=2 the system of equations above has solution (x,y)

Answers

Answer:

(6, 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

1/2y = 4

x - 1/2y = 2

Step 2: Solve for y

Define equation:                    1/2y = 4Isolate y:                                 y = 8

Step 3: Solve for x

Define equation:                    x - 1/2y = 2Substitute in y:                       x - 1/2(8) = 2Multiply:                                  x - 4 = 2Isolate x:                                 x = 6

Answer: (6,8)

Step-by-step explanation:

1/2y = 4          

x - 1/2y = 2    

First  solve for y in the first equation.

1/2y = 4      Divide both sides by 1/2

y  =  8  

NOw substitute the value of y into the second equation and solve for x.

x

x - 1/2(8) = 2

x - 4 = 2

  +4     +4

x = 6    

THis makes the solution  (6,8)

jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level how far do they have to go to reach wreckage​

Answers

Answer:

They have to go 30 m below sea level to reach wreckage.

Step-by-step explanation:

jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level.

Below sea level means = -40 m

Above sea level means = +10 m

It means,

-40 m + 10 m

= -30 m

Hence, they have to go 30 m below sea level to reach wreckage.

Sam ran two-fifths of a mile each day for 4 days. How far did he run after the 4 days?

Answers

2/5 * 4= 8/5 or 1 3/5 which is ur answer

Given that X
[tex] {x}^{3} [/tex]
x
[tex] {3}^{3} [/tex]
=
[tex] {6}^{3} [/tex]
, find the value of X.​

Answers

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]x^{3} * 3^{3} = 6^{3}[/tex]

[tex]=> (3x)^{3} = 6^{3}[/tex]

[tex]=> 3x = \sqrt[3]{6^{3}} = 6[/tex]

[tex]=> x = \frac{6}{3} = 2[/tex]

Answer:

[tex] {x}^{3} \times {3}^{3} = {6}^{3} \\ take \: cube \: root \: on \: both \: side \ \\ \sqrt[3]{ {x}^{3} } \times \sqrt[3]{ {3}^{3} } = \sqrt[3]{ {6}^{3} } \\ x \times 3 = 6 \\ x = \frac{6}{3} \\ x = 2 \\ thnk \: you[/tex]

When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3) =-10

Answers

The first step is to solve (x plus 3) since we use the PEMDAS when solving equations. We go in order of letter. P stands for parentheses which is the first step to solve.

a milk truck delivers 466 dozen gallons of milk to store in 1 day.

Answers

Answer:

whats the question? I don't see one to be abel to answer you

what percent of 15 is 5

Answers

Answer: 33%

Step-by-step explanation: 5/15 simplifies to 1/3 which is 33%

Answer:

33.333333333..... %

Step-by-step explanation:

(5/15)*100

There are 18 girls in mr. Brimley’s math class. If 60% of the students are girls, how many students are in mr. brimley’s math class?

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

An advanced biology student wants to test the effects of a chemical fertilizer versus natural fertilizer, so she plans to divide a rectangular garden in half by running a fence parallel to two of the exterior sides. She has a fixed amount of fencing (36m) and she wants to have fencing around the entire garden in addition to the fence down the middle. Find the maximum area of the natural fertilizer garden.

Answers

Answer:

[tex]108\ \text{m}^2[/tex]

Step-by-step explanation:

The sides are rectangle is shown in the diagram

The perimeter of the fence will be

[tex]3x+2y=36\\\Rightarrow x=\dfrac{36-2y}{3}[/tex]

Area of the smaller section of the garden

[tex]A=xy\\\Rightarrow A=\dfrac{36-2y}{3}y\\\Rightarrow A=\dfrac{36y-2y^2}{3}[/tex]

Differentiating with respect to y we get

[tex]\dfrac{dA}{dy}=\dfrac{1}{3}(36-4y)[/tex]

Equating with zero we get

[tex]\dfrac{1}{3}(36-4y)=0\\\Rightarrow 36-4y=0\\\Rightarrow y=\dfrac{36}{4}\\\Rightarrow y=9[/tex]

Double derivative of area

[tex]\dfrac{d^2A}{dy^2}=-4<0[/tex]

at y = 9 the area is maximum

[tex]x=\dfrac{36-2y}{3}=\dfrac{36-2\times 9}{3}\\\Rightarrow x=6[/tex]

The sides of the entire garden are [tex]2y=2\times 9=18\ \text{m}[/tex] and [tex]6\ \text{m}[/tex]

The maximum area of the natural fertilizer garden is [tex]18\times 6=108\ \text{m}^2[/tex]

find the opposite of the opposite of each integer. -8​

Answers

Step-by-step explanation:

8 will be the answer might be

This answer is 8 since opposite of negative is positive

How many ways can 3 yearbook posters out of a total of 6 posters be displayed across a wall?​

Answers

9514 1404 393

Answer:

  120

Step-by-step explanation:

The first one can be any of 6. The second can be any of the remaining 5, and the third can be any of the remaining 4. The total number of possible displays is ...

  6 × 5 × 4 = 120

3 posters of 6 can be displayed 120 ways.

Valerie earns $12.20 per hour. If she worked for 7.75 hours yesterday, how much did she earn? $94.55 $94.65 $945.50 $946.50 ASAP PLEEEEEAAAAASE!!!!

Answers

she earned $94.55

you multiply $12.20 by 7.75 and you get $94.55
12.20*7.75=94.55 dollars

If all of these are answered i will give a crown, a thanks, and five stars! also many points.

Answers

Answer:

94. E

95. A

96. F

97. B

98. H

99. D

Hope this helps :)

The base of a cone shaped glass is 12 inches and it is 18 inches tall. You
fill the glass with soda pop to the top of the glass. What is the volume of
soda pop

Answers

Answer:

Step-by-step expla

To find the volume of a cone, use the equation: V = 1/3Bh.

In this equation, V is the volume, B is the base, and h is the height.

We are given that the base is 12 inches, and the height is 18 inches. With those necessary values, we can substitute those values, and calculate it.

V = 1/3(12)(18)

V = 4(18)

V = 72.0

Therefore, the volume of this glass is 72.0 cubic inches.

PLZ HELP URGENT !!The volleyball team is having a carwash fundraiser. The cost of each carwash is $5. They are also selling season ticket packages to their
upcoming volleyball season for $40 each. The goal of the team is to make at least $2000 from the combined totals of the two fundraisers.
So far, the team has sold 41 season ticket packages.

How many cars must they wash in order to meet the team goal of $2000?
A 728 cars
B. 328 cars
c. 72 cars
D.47 cars

Answers

Answer:

it c

Step-by-step explanation:

you have to time 5 with the c and 40 time 41 then add the two answers

Median,mode,mean of 1,4,6,7,2,3,8,2,3,57,7,3,1

Answers

Answer:

Median: 3.5 Mode: 3, 7 Mean: 4.2

Step-by-step explanation:

hope this helps :)

Enter the midpoint of the segment whose endpoints are (2,9) and (-8, 14).​

Answers

Midpoint of a line segment = (-3, 11.5)

Determine any data values that are missing from the table, assuming that the data represent a linear function.
X
ly
1
2
12
16
4
a.
2
10
b.
C. 14
d. 16

Answers

Answer:

Fill in the blank with 14

Step-by-step explanation:

Given

The attached table

Required

Fill in the gap

Since, the table represents a linear function.

The first step is to calculate the slope of the table

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (1,2)[/tex]

[tex](x_2,y_2) = (2,6)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 2}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m=4[/tex]

The equation of the table is calculated next as:

[tex]y - y_1 = m(x - x_1)[/tex]

This becomes

[tex]y - 2 = 4(x - 1)[/tex]

[tex]y - 2 = 4x - 4[/tex]

Solve for y

[tex]y = 4x - 4+2[/tex]

[tex]y = 4x -2[/tex]

To fill in the blank;

The value of x is 4

So, substitute 4 for x in [tex]y = 4x -2[/tex]

[tex]y = 4 * 4 - 2[/tex]

[tex]y = 16 - 2[/tex]

[tex]y = 14[/tex]

please helppppppppppp​

Answers

Answer:

103 degrees

Step-by-step explanation:

180 - 77 = 103

Researchers want to test the effects of a new weight loss program. They believe that gender is a significant factor. The participants are divided by gender. Then, within each group, participants are randomly assigned to either the treatment or control group. Which of the following would be the most effective to test the effects of the new weight loss program?
a) Alongitudinal observational study
b) A matched-pair design experiment
c) A randomized block design experiment
d) A completely randomized design experiment

Answers

Answer:

C: A randomized block design experiment

Step-by-step explanation:

We are told the participants are divided by gender into groups which we can call blocks. Then, within each group, they are randomly assigned to either the treatment or control group. This means they are assigned treatments within each block.

A randomized block design is defined as an experimental design whereby the experimental units are divided into groups which we call blocks. After that treatments will be randomly assigned to the experimental units within each of the blocks.

Thus, this corresponds with our question and we can say it's a randomized block design experiment.

After how many years will Mr.Rodriguez have increased his original investment by more than 50%? Explain your reasoning

Answers

Answer:

elaborate, this is vague

Step-by-step explanation:

What is 8/25 as a decimal representation and as a percent representation please answer thank you

Answers

Answer:

decimal: 0.32 percent: 32%

Step-by-step explanation:

What is 450.012 to the nearest hundredth

Answers

Answer:

450.01

Step-by-step explanation:

what is the ratio of 3 squares and 4 triangles​

Answers

The answer is 4:3 :)))))

If u steal point i report

Answers

Answer: the 2 on the right

Step-by-step explanation:

If x = 3 (y + 2) minus 1 what is the value of w in terms of x and y? w = StartFraction x minus 3 y Over 3 EndFraction w = StartFraction x minus 3 y + 1 Over 3 EndFraction w = x minus 3 y + 1 w = StartFraction x + 1 Over 9 y EndFraction

Answers

Answer:

B.

Step-by-step explanation:

To find the value of w in terms of x and y, we need to substitute the given values of x and y into the equation for w. First, we are given the equation [tex]x = 3(y + 2) - 1[/tex].

Let's simplify this equation before substituting it into the equation for w. Expanding the equation, we have: [tex]x = 3y + 6 - 1 x = 3y + 5[/tex] Now we can substitute the value of x into the equation for w. w [tex]= (x - 3y + 1) / 3[/tex] Substituting the value of x from the earlier equation: w [tex]= (3y + 5 - 3y + 1) / 3 w = (6y + 6) / 3[/tex]

At this point, we can further simplify the equation by dividing both the numerator and denominator by 3: w[tex]= 2y + 2[/tex]Therefore, the value of w in terms of x and y is w[tex]= 2y + 2. I[/tex]n summary: Starting with x [tex]= 3(y + 2) - 1,[/tex]we substituted the value of x into the equation for w and simplified to obtain w [tex]= 2y + 2.[/tex]

To know more about denominator visit:

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Find the simple interest.
Principal:$6000
Interest Rates: 5%
Time: 6 months

Is it $1500 or $150?

Answers

Answer:

Given,

P = ₹5,000

R = 5%

T = 6 months

= 1/2 years

S.I = P×R×T/100

= 5,000 × 5 / 2×100

= 250 / 2

= ₹125

Step-by-step explanation:

The simple interest of principal of $ 6000 at an interest rate of 5% for a period of 6 months is $ 150

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the total amount be Principal P = $ 6000

Let the interest rate be R = 5 %

Let the number of periods be T = 6 months

So , the value of T = 1/2

Now , the simple interest is given by the formula

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest = ( 6000 x 5 x ( 1 / 2 ) ) / 100

Simple Interest = ( 60 x 5 ) / 2

Simple Interest = $ 150

Therefore , the value of simple interest is $ 150

Hence , The simple interest of principal of $ 6000 at an interest rate of 5% for a period of 6 months is $ 150

To learn more about simple interest click :

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