Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.

Answers

Answer 1

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

so

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29


Related Questions

The maximum speed that a sailboat can reach depends on the size of the boat. The graph below shows the maximum speed, v, that a sailboat can reach as a function of its length, l.
Complete the following sentences based on the graph of the function.

1. The longer the sailboat is, the [FASTER/SLOWER] it can go.
2. For a boat to reach the speed of 101010 kilometers per hour, it needs to be at least __ feet long.
3. The maximum speed that an 888-foot boat can reach is __ kilometers per hour.
4. A 16-foot sailboat at top speed is [1.5 times/2 times/2.5 times/3 times/3.5 times] as fast as a 4-foot sailboat at top speed.

Answers

Answer:

Review the graph to get answers:

1. The longer the sailboat is, the FASTER it can go. As it is a increasing function.

2. For a boat to reach the speed of 10 kilometers per hour, it needs to be at least 16 feet long.

3. The maximum speed that an 8-foot boat can reach is 7.1 kilometers per hour.

4. Top speed of a 16-foot boat is 10 kilometers per hour and of a 4-foot boat is 5 kilometers per hour.

The ratio is:

10/5 = 2 times

A 16-foot sailboat at top speed is 2 times as fast as a 4-foot sailboat at top speed.

Hi anyone here for talking​

Answers

Answer:

yessssssssss.........

(1 point) Solve the following inequality, giving your answer in interval notation.
1 - x > 2

Answers

Answer:

-1

Step-by-step explanation:

1-x>2

-x>2-1

-x>1

-x/-1>1/-1

x<-1

Answer:

[tex]x < - 1[/tex]

Step-by-step explanation:

first step

try to leave x's in your left and number in your right

-x > 2-1

-x>1

step 2

by moving the sign minus to right it will become plus

and the inequality sign will change also

so x<-1

the region will ( - infinity to -1 )

[tex]( - \infty - 1)[/tex]

what is the square root of

Answers

Answer:

13.42

Step-by-step explanation:

A plane is already 44 cm tall and it will grow in one centimeter every month let H be the plants height in centimeters after M months write an equation relating H to M. Then use the equation to find a plant's height at 14 months

Answers

Answer:idea I jus wanna get my answers answered sk 3728 okay??

Step-by-step explanation:!3$:$::$2$:773727/

A park is rectangular with a length of 2/3
miles. If the area of the park is 3/9
square miles, what is its width? Input your answer as a fraction.

Answers

Answer:

Step-by-step explanation:

let : x the width  

the area  is 2/3 ×  x  =3/9

x = (3/9)×3/2

x =1/2  miles

Tony weighs his pet turtle on a scale in his bathroom. The turtle weighs 6 1/4 ​ pounds. His turtle weighed 3 1/6 ​ pounds when he first got him. About how much more does his turtle weigh now?

Answers

3 1/12. Find the lowest common denominator. Multiply the the numerator and denominator by that. Then simplify.

a) Work out 4 1/7+1 1/2​

Answers

Answer:

5 9/14

Step-by-step explanation:

easy maffs

Solve for x. Assume that lines which appear tangent are tangent.

Answers

Presumably, x is standing in for the question mark.

The pair of vertical angles (DFE and CFV) shown here both have measure 125°. This angle measure is equal to the average of the measures of the arcs intercepted by the chords CE and DV.

So we have

angle DFE = 1/2 (arc CV + arc DE)

125° = 1/2 (x + 200°)

250° = x + 200°

x = 50°

The length of segment GI is 8. True or false?

Answers

Answer: false

Step-by-step explanation: that’s what my teacher told me sorry if it’s wrong

Answer:

It is false

Definetely false

Walmart is selling
school supplies: 5
notebooks only cost
$4.02! How much
would znotebooks
cost? What about 7
notebooks?
Plz help! :)

Answers

Answer:

2 notebooks are $2.48, 7 notebooks are $8.68

Step-by-step explanation:

Unit rate is 1.24

1.24x2= $2.48

1.24x7= $8.68

Please help me.
how many observations are in this data set?

Answers

Answer:

16

Step-by-step explanation:

count the dots. each is one observation

Yep it is 16 the answer

somebody please help this is due in a couple of hours :(

Answers

Answer:

Step-by-step explanation:

CAN YOU GUYS PLS HELP WHAT GOES IN EACH BOX ITS OVERDUE :( IM ABT TO FAIL WILL GIVE BRAINLIEST

Answers

Answer:

18 days.

Step-by-step explanation:

Takes 6 days to eat 1 apple so multiply 6 by three to get your answer.

Answer:

18 days

Step-by-step explanation:

since the ratio is 3 days to 1/2 that would mean 6 days is to 1 apple, so if you just multiply 6 days by 3 you would get 18 days because you would need to find how many days for 3 apples.

If arc AB = 107° and arc BC = 122°, find the value of x.

Answers

Answer:

the value of x is acb 133°

f(x)=-2x² + 3x-6, find f (3)

Answers

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6Multiply:                                                                                                             f(3) = -18 + 9 - 6Add:                                                                                                                   f(3) = -9 - 6Subtract:                                                                                                            f(3) = -15

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6

Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6

Multiply:                                                                                                             f(3) = -18 + 9 - 6

Add:                                                                                                                   f(3) = -9 - 6

Subtract:                                                                                                            f(3) = -15

What is 125% of 144?

Answers

Answer:

180

hope this helps :)

144 x 125/100 = 180
................

What is the slope of the line?

Answers

The slope of the line is 7/4

Answer:

-7/4

Step-by-step explanation:

Hi,

To find the slope of the line, get two points, and divide the change in y over the change in x. So, let's find two points.

(1,-3) and (-3,4)

Change in y: 4 - (-3) = 7 (Remember when you subtract a negative, you add)

Change in x: -3 - 1 = -4

7/-4 = -7/4

-7/4 is your slope.

I hope this helps :)

Will give BRAINLEST :)

Answers

Answer:

A

Step-by-step explanation:

This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.

g + t + k = 90

g + 2t - k = 55

-g - t + 3k = 30

Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.

g + t + k = 90

-g - t + 3k = 30

____________

0 + 0 + 4k = 120

4k = 120

k = 30

No you can plug this into the first two equations

g + t + (30) = 90

g + t = 60

and

g + 2t - (30) = 55

g + 2t = 85

now use elimination again by multiplying the first equation by -1

g + 2t = 85

-g - t = -60

_________

0 + t = 25

t = 25

Now plug those both back into one of the equations. I'll just do the first one.

g + (25) + (30) = 90

g = 35

Therefore, we know that Ted spent the least amount of time on the computer.

The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.

if you have 3 cookies and your mom makes 2 dozen more and your friend tacks 15 home how many cookies do you have?

Answers

Answer:

12+12+3=27-15=12

Step-by-step explanation:

Dozen means 12. Your welcome Brainliest?

REFRESH THE PAGE lol were both here

Answer:

refresh page

Step-by-step explanation:

thing is probably being slow

Which functions have removable discontinuities (holes)? Check all of the boxes that apply.
f(x)=x-1/x^2-1
f(x)=x^2-9/x^2+7x+12
f(x)=x^2+4x+4/x^2+2x-8
f(x)=x+7/x^2+5x-14

Answers

Answer:

A,B,D

Step-by-step explanation:

I just did it .

Answer:

It is correct, the answers are A, B and D.

Step-by-step explanation:

Edge 2021. Assignment.

Is that the answer please help no links no links please help

Answers

Answer:

360

Step-by-step explanation:

V= L•W•H/3

10×12×9÷3

i’m so confused now helpppppppppp!!!!

Answers

An exterior angle is equal to the sum of the two opposite interior angles.

X = 125 + 30

X = 155

Answer:

26 put me brinliest pleae!!

Step-by-step explanation:

You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?

Answers

Answer:

I think you are asking the total distance isn't? The straight line distance from your starting point 14 miles.I've added both miles to get the total distance

Step-by-step explanation:

please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.

1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.

a) Factor2+7x+12

b) Use the zero product property to solve for x







b) Use the zero product property to solve for x

Answers

Answer:

7x+14=0, 7x=-14, x= -2

Step-by-step explanation:

add like terms, then get x on one side, number on the other, then divide both sides by 7

D is greater than E and less than C.
C and D are opposites.
At least one number is greater than A.

HELP

Answers

Answer:

?

Step-by-step explanation:

Melissa bought 2 shirts and 3 skirts and spent between $45 and $60. Each shirt costs the same amount. Each skirt costs the same amount. The price of a shirt is $12. What is the least amount Melissa could have spent on a skirt? What is the most Melissa could have spent of a skirt?

Answers

Answer:

Least is 7

Most is 12

Step-by-step explanation:

So 2 shirts for 12.

So 24

Take 24 off of both

Left with 21 to 36

21÷3 is 7

36÷3 is 12

Hope this helps

Answer:

least - $7

most - $12

Explanation:

if the price of a shirt is $12, she must have spent at least $24 on the shirts in total.

the least amount melissa could have spent on a skirt is:

($45 - $24) ÷ 3 = $7

and the most she could have spent is:

($60 - $24) ÷ 3 = $12

i hope this helps! :D

NO LINKS.
12 ÷ x = 36
Find x.

Answers

Answer:

x=1/3 or 0.3

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Answer:

Solution given:12 ÷ x = 36

x=12/36=1/3 is your answer

How to show full work on this one topic is angles formed by 2 chords and secants

Answers

Answer:

m<STR=149 degree

Step-by-step explanation:

To find m<STR

m PQ=186 degree

mSR=112 degree

m<STR=1/2(m PQ+MSR)

m<STR=1/2(186 +112)

⇒1/2(298)

answer⇒149

hope it helps...

Pls help me complete this

Answers

Answer:

wow thats alot of "stuff"

Step-by-step explanation:

Answer:

For the first, top one, it is Outcome

For the second one, it is Event

For the third one, it is Trial

For the fourth one, it is Experimental Probability

For the fifth one, it is Probability

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