Events A and B are independent. The probability of A given B has occurred is 0.43, and the probability of B given A has occurred is 0.35.

What is the probability, to the nearest hundredth, that A and B occur?

Answers

Answer 1

Answer:

0.43* 0.35 = 0.1505 or 0.15 after rounding

Step-by-step explanation:

Answer 2

Based on the probabilities of A and B occurring with conditions, the probability of A and B occurring is 0.15.

What is the probability that both A and B occur?

This can be found by the formula:

= Probability that A occurs if B occurs x Probability of B occurring if A occurs

Solving gives:

= 0.43 x 0.35

= 0.15

In conclusion, the probability is 0.15.

Find out more on independent event probabilities at https://brainly.com/question/7965468.

#SPJ2


Related Questions

Which expression is equivalent to (x⁶y⁸)³/x²y²​

Answers

The equivalent expression is [tex]x^{16}y^{22}[/tex]

Which unit rate is the lowest price per ounce?

Choice A: 5 ounces of raisins for $1.49

Choice B: 12 ounces of raisins for $3.69

Answers

Answer:

B

Step-by-step explanation:

Answer:

A. 5 oz. is the lowest rate

Does the graph represent a function?

Answers

Step-by-step explanation:

yes dear. .............

the graph does not represent a function because it does not pass the vertical line test

evaluate f(2)=-3x+1

Answers

the correct answer is -5

Answer:

your answer would be -5

Step-by-step explanation:

f(2)=-3x+1 times everything by 2

make sure you keep your negatives then minus -6 from 2

Find f(-2) for f(x) = 3•2^x.
A. 1/36
B. 3/4
C. -12
D. -36

Answers

I believe it's negative thirty six or -36

To pass a quiz, students need a score of at least 32 points out of a total of 40 points. At least what percent do the students need to pass the quiz

Answers

Answer:

80%

Step-by-step explanation:

Hope this helps :)

How many times does a dragonfly’s wing beat per minute if the beats are 38 per second

Answers

Answer:

2280 beats per minute

Step-by-step explanation:

38*60 sec/min = 2280

hope this helps, pls mark brainliest :D

Contestant and like terms. What do they mean?

Answers

Answer:

Step-by-step explanation:

Like Terms: terms that have the same variable raised to the same power. So like 5x plus 5x plus 5. 5x and 5x are like terms.

I'm going to assume you mean Constant instead of contestant so

Constant: Terms without variables

Example: 5x+2x+7

5x and 2x are like terms

7 is a Constant

helllllllllllllllllllllpppppppppppp meeeeeeeeeeeeee

Answers

Answer: I think the answer is x = 4

Step-by-step explanation: 28 = 7x

                                           /7       /7

                                             4   =  x

Tamara has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00. She budgets $29.50 per month for total cell phone expenses. What is the maximum number of minutes Tamara could use her phone each month in order to stay within her budget?

Answers

Answer:

525 minutes

Step-by-step explanation:

Given that the monthly fee for the phone is $19 and the call charges rate is $0.02 per minute.

Her monthly budget is $29.50.

Let Tamara can make a maximum number of n minutes call in a month.

So, call charges for n minutes = $0.02n

Total monthly expenses on her phone = 19+0.02n

As her monthly budget is $29.50.

So, 19+0.02n=29.50

0.02n=29.50-19

0.02n=10.50

n=10.50/0.02

n=525

Hence, she can make a maximum of 525 minutes call.

I don't understand this either what's this

Answers

Answer:

It's called a transversal lol

Step-by-step explanation:

I know that you were thinking that there should be a letter somewhere but you can't figure out the name of a line unless the name is shown lol

Pls mark Brainliest.

hi! im quite confused on this. can someone please help me? ill give brainiest if youre correct :)

Answers

Answer:

I believe the answer is D

Step-by-step explanation:

after 3 hours it traveled 120 miles so divide that by the 3 hours and it gives you 40 miles per hour giving you the slope and the y int would be negative 300 because he started 300 miles aways from Denver

Answer:

The answer seems to be D

Step-by-step explanation:

I cannot really confirm but I am most certain it is D.

two people walk in a store then fives more people walk in the srores two walk out how many people are in the store?

Answers

Answer:

5....I guess...is it a brain teaser?

Five people are in the store

Write an explicit formula that represents the sequence defined by the following recursive formula



HELP IM TIMED

Answers

Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

a is the first termd is the common difference between each two consecutive termsn is the position of the number

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

a = -1 ⇒ 1st term

d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

a[tex]_{n}[/tex] = 5 - 6n

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Mr. Lebsock is 1 year younger than 10 times Addy’s age. If Mr. Lebsock is 29, write and solve equation to solve for Addy’s age.

Answers

Answer:

3

Step-by-step explanation:

29 = 10x - 1

+4

30 = 10x

30 divided by 10 = 3

3 = x

So Addy is 3.

Solve linear equations

Solve for x

3х – 10 = 16

Answers

Answer:

x=26/3

Step-by-step explanation:

3x-10=16

add 10 to both sides

3x=16+10

simplify

3x=26

divide both sides by 3

x=26/3

Solve the inequality x + 2 ≥ 8

Answers

Answer:

the answer is x ≥ 6

Step-by-step explanation:

x ≥ 8 - 2

x ≥ 6


The table represents some points on the graph of a linear function.

Which function represents the same relationship?

Answers

Answer:

C

Step-by-step explanation:

The equatipn of the function that represents the same relationship is

h(x)=-3x-10.5

Equation of a line :

The slope intercept form of equation of line is y=mx+b

where m is the slope and b is the y intercept .

We are given with a table that represents the linear function

Pick any two points from the table to find out slope

(-3.5,0) and (-1,-7.5)

[tex]slope =\frac{y_2-y_1}{x_2-x_1} =\frac{-7.5-0}{-1+3.5}=-3[/tex]

Now we find out y intercept b . use point slope form

[tex]y-y_1=m(x-x_1)\\m=-3 and (-3.5,0)\\y-0=-3(x+3.5)\\y=-3x-10.5[/tex]

The equation of the function that represents the same relationship is

h(x)=-3x-10.5

Learn more information about 'Equation of lines' here

brainly.com/question/27232782

What is the area of a 16 x 9 foot rectangle?

Answers

Answer:

144 square foot

Step-by-step explanation:

Area of rectangle: Length × breadth

Area of rectangle = 16 × 9

                             = 144 square foot

Adam rode in a bike-a-thon. At the end of each hour of the bike-a-thon, he recorded the total distance he had traveled since the bike-a-thon began. This is shown in the table below. Based on this table, is the total distance traveled by Adam a function of time?

Answers

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

Answer: no, because it’s he total distance of 32 miles is repeated in the table

Step-by-step explanation:

I passed the test

12 (10x + 15) – 32 = 2x + 6 + 3x

Answers

Answer:

x=154/115

Step-by-step explanation:

120x+180-32=2x+6+3x

120x-148=5x+6

115x=154

x=154/115

Help me I know it easy it just to give points I already know the answer but still answer it correctly and you will get brainliest.

Answers

Answer:

21-25 actors

Step-by-step explanation:

What's the mean median and range of 5, 15, 10, 20,15 10, 15

Answers

Answer:

Mean = 12.85714

Median = 15

Range = 15

Step-by-step explanation:

Mean:

5 + 15 + 10 + 20 + 15 + 10 + 15 = 90

90 / 7 = 12.85714

Median:

5, 10, 10, 15, 15, 15, 20

Median = 15

Range:

20 - 5 = 15

What point is on both lines y=12x+3 and y=x+1

(no graph)

Answers

Step-by-step explanation:

by having two equations that have the same point, you can set the two equations equal to each other

y = 12x + 3, y = x + 1

12x + 3 = x + 1

11x = -2

x = -2/11

when you find the the x value, plug it back into either one of the equations

y = x + 1

y = (-2/11) + 1

y = 11/11 - 2/11

y = 9/11

the point (solution):

(-2/11, 9/11)

Answer:

(-2|11, 9|11)

Step-by-step explanation:

hope it helps


If BFD and AFC are right angles and
m CFD = 72°, what is the value of x?
18
36
108
72

Answers

Answer:

72

Step-by-step explanation:

If BFD is a right angle and it gives you CFD that means that you do 90 - 72 to find CFB cause it 90 all togther

CFB = 18 deg

now it also tells us CFA is a 90 deg angle so we do the same thing

90 - 18 = 72

The owner of a grocery store wants to mix two kinds of condy together to make 15lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?

Answers

Answer: 6 pounds of sugar candy, and 9 pounds of chocolate candy.

Step-by-step explanation:

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Answer:

9 pounds of chocolate candy

6 pounds of sugar candy

Step-by-step explanation:

x will represent pounds of chocolate candies used

y will represent pounds of sugar candies used

x + y = 15

x · $7.00 + $2.00 · y = $5.00 · 15

x = 15 - y

(15 - y) · $7.00 + $2.00 · y = $5.00 · 15

105 - $5.00 · y = 75

105 - 75 = $5.00 · y

$30 = $5.00 · y

$30 ÷ $5 = y

$30 ÷ $5 = 6

y = 6

x + y = 15

x + 6 = 15

x + 6 - 6 = 15 - 6

x = 9

Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.


StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.

What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4 ?

Answers

Answer:

The property used here is: Multiplication property of Equality

Step-by-step explanation:

Claire solved the expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by two ways

Way 1: Solving using proportion:

[tex]\frac{x}{4}=\frac{36}{16}[/tex]

By cross multiplying:

[tex]16x=144[/tex]

Divide both sides by 16

[tex]x=9[/tex]

Way 2:

She also solve the same expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by using following steps

Multiply both sides by 4

[tex]4\times( \frac{x}{4})=4\times(\frac{36}{16})\\x=\frac{144}{16}\\x=9[/tex]

We need to tell the name of property that allowed her to go from [tex]\frac{x}{4}=\frac{36}{16}[/tex] to [tex]4\times(\frac{x}{4})=4\times(\frac{36}{16})[/tex]

The property used here is: Multiplication property of Equality

The property states that if A , B and C are real numbers then

A = B and AC = BC are equivalent.

Answer:

C

Step-by-step explanation:

NEED HELP TO FIND x ASAP!!!!!!!!!

Answers

The answer is 31

Explanation:
A triangle has a total of 180 degrees, because there the line that proceeds the angle of the triangle is 123 degrees you can find the value of x

180-123= 57
57+92= 149
180-149=31
i believe the answer is 31

the area of a rectangle is 30m^11 square feet . if the length of the rectangle is 6m^4 feet what is the width of the rectangle?

Answers

13 feet because if you divide by 11m then you 13

Kyle is buying a book online for $14.58. It is on sale for 10% off. What is the sale price with a 8.25% tax?

Answers

First, find the discount by finding 10% of $14.58. To do this, convert 0% into a decimal and multiply by $14.58.

14.58 x 0.1 = 1.458.

Since this a sale price, how much he is getting off, subtract from the total.

14.58 - 1.458 = 13.122.

We still have to find the sales tax. Solving is similar to finding the discount.

13.122 x 0.0825 = 1.082565.

Now, since it is a tax, add to the total.

13.122 + 1.082565 = 14.204565

Round to the nearest hundredth, and you have $14.20.

The sale price with after tax is $14.20.

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