Question 7 of 10

If P(A) = 3/4, P(B)=1/2 , and P(AUB)=11/12 what is P(A n B)?

A. 1/3
B. 3/4
C. 3/8
D. 1/12

Answers

Answer 1

P(A n B) = P(A U B) - P(A) - P(B)

= 11/12 - 3/4 - 1/2

= (11 - 9 - 6)/12

= 4/12

=


Related Questions

Find two positive numbers whose difference is 13 and whose product is 230

Answers

Answer:

23 and 10

Step-by-step explanation:

23 - 10 = 13

23 * 10 = 230

Answer:

10 and 23

Step-by-step explanation:

Home Schoology
d. 42
3. The museum has 35 molecule models. They need
to be packaged 4 to a box. After 8 boxes are
filled, how many models will be left?
a. 3
b. 2
c. 1
d. 0
Which one is the answer

Answers

Step-by-step explanation:

there are 35 in total.

4 go into one box.

so, how many in 8 boxes ?

well, 4×8 = 32

what is the difference between 32 and 35 ?

35 - 32 = 3

so, 3 models are still left.


[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]




[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}[/tex]
5400 ÷ 300000

[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}[/tex]




[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}​[/tex]





[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]​

Answers

Answer:

[tex]5400 \div 300000 \\ \\ = 0.018[/tex]

The answer is 0.018

Distribution property of-6(9-9n)

Answers

Answer:

you multiply the -6 by whats in the parenthesis. so it would be -54, and 54n. Because two negatives make a positive

Hope this helped!

Step-by-step explanation:

I need help asap look at last question

Answers

Answer:what’s the question

Step-by-step explanation:

Answer:

i answer your question correctly, please mark it as brainliest and thank you.

A recipe calls for 1/2 cup of flour for every 8 teaspoons of milk.How much flour should be used for 4 teaspoons of milk?

Answers

Answer:

I think it's probably 1/4

Step-by-step explanation: It's probably 1/4 since you are really only taking away both of the ones and then dividing 2 and 8 that equals 4 so then you add the only 1 of the the ones and then you get 1/4

Find the zeros of the function.

h(x) = x2 + 19x + 84

Answers

Answer:

X=7

Step-by-step explanation:

x-12)=0

x-12+12=0+12

x=12

Solve:

(x-7) = 0

x-7+7 = 0+7

x=7

can someone pls give me an example of an area of a trapezium

Answers

Answer:

I got this from one of my textbook for the previous years

Hope this helps:)

The nth term of a sequence is 3n2 - n + 10 where n is a positive integer. Which term in the sequence is equal to 54?​

Answers

Answer:

4th term

Step-by-step explanation:

Equate the nth term formula to 54 and solve for n

3n² - n + 10 = 54 ( subtract 54 from both sides )

3n² - n - 44 = 0

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × - 44 = - 132 and sum = - 1

The factors are - 12 and + 11

Use these factors to split the n- term

3n² - 12n + 11n - 44 = 0 ( factor the first/second and third/fourth terms )

3n(n - 4) + 11(n - 4) = 0 ← factor out (n - 4) from each term

(n - 4)(3n + 11) = 0

Equate each factor to zero and solve for n

n - 4 = 0 ⇒ n = 4

3n + 11 = 0 ⇒ 3n = - 11 ⇒ n = - [tex]\frac{11}{3}[/tex]

Since n > 0 then n = 4

The 4th term of the sequence is 54.

What is a sequence ?

A sequence is a set of numbers with a constant difference or a constant ratio or it have a certain relation with the next and previous term.

According to the given question the nth term of a sequence is 3n² - n + 10.

We have to determine which term is equal to 54 or the value of and it must be an integer.

So, 3n² - n + 10 = 54.

3n² - n - 44 = 0.

3n² - 12n + 11n - 44 = 0.

3n(n-4) +11(n-4) = 0.

(3n+11) = 0 OR (n-4) = 0.

n = - 11/3 OR n = 4.          ( given the term no. is a positive integer ).

learn more about sequence here :

https://brainly.com/question/21961097

#SPJ2

Write an equation for the line in slope intercept form

Answers

Answer:

y=4x+2

Step-by-step explanation:

Like and give 5 star rating

You have 5 shirts, 6 pairs of pants, and 8 hats. How many outfits can you make consisting of one shirt, one pair of pants, and one hat

Answers

Answer:

240

Step-by-step explanation:

You would do 5x6x8 to get all the combinations, and that would equal 240

plz plz plz plz plz plz plz plz plz

Answers

Answer:

Step-by-step explanation:

I've done this just cant see the whole thing

can you please help me

Answers

Answer:

i think it's the 6th option

Step-by-step explanation:

A polyhedron has 6 faces and 7 vertices, how many edges does it have explain your answer
Indeed it in 5mins hurry plsssss

Answers

Answer: 12

Step-by-step explanation:

A train traveling 200 miles per hour for 1 1/2 hours covers the same distance as one traveling at 75 miles per hour for how many hours?

Answers

Answer:

4

Step-by-step explanation:

200 * 1 1/2 = 300 miles traveled

300/75 = 4 hours

Manuel cuya estatura es de 1.75 m observa la parte alta de un poste de 18.25 m de altura, con un ángulo de elevación de 30°. La distancia horizontal que hay entre el hombre y el poste es¬

Answers

Answer:

i don't understand

Step-by-step explanation:

I NEED THIS ASAP!!

Compare -7 and 5. Which statement is not true?

O A. -7 is farther from
O on a number line.
B. 1-71 > 151 C. The absolute value of 5 is greater than the absolute value of -7.
D. 5 is farther to the right on a number line.​

Answers

A. is true b. is true C. is false D. is true

Mia is 7.04304 x 10 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
a
Mia is 13
years
months and
days old

Answers

Answer:13 years,1 month, and 29 days

Step-by-step explanation:

She ran 415 miles on Monday.
She ran a different distance on Tuesday.
She ran a total of 712 miles on both days

Answers

Answer:

she ran 297 miles on tuesday

Step-by-step explanation:

Answer:

Distance ran on Tuesday: 297 miles

Step-by-step explanation:

total distance ran = distance ran on Monday + distance ran on Tuesday

⇒ 712 = 415 + x

⇒ 712 - 415 = x

⇒ 297 = x

Which would be the most appropriate way to estimate -6.1(0.22)? Check all that apply.
Use rounding to get -6(0.2), and then multiply.
Use compatible numbers, such as -6(0.5), and then multiply.
Use the benchmark numbers -6 and 1, and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Round the factors to the nearest whole number, and then multiply.
Answers to choose Please help me.

Answers

Use rounding to get -6(0.2), and then multiply.

Use compatible numbers, such as -6(0.5), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Estimate -6.1(0.22)

Answer:

Use rounding to get -6(0.2), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Round the factors to the nearest whole number, and then multiply.

Step-by-step explanation:

Actual answer:

-6.1(0.22) = -1.342

Estimate answer:

-6 (.2) = 1.2

Answer:

A B D

Step-by-step explanation:

4|x-8|+1>_5 ASAP please

Answers

Answer:

x ≤ 7  or  x ≥ 9

Step-by-step explanation:

4|x - 8| + 1 ≥ 5

Subtract 1 from both sides.

4|x - 8| ≥ 4

Divide both sides by 4.

|x - 8| ≥ 1

x - 8 ≤ -1  or  x - 8 ≥ 1

x ≤ 7  or  x ≥ 9

emma makes 21 laps during a 5 minute song how many laps per minute did emma make how do I show my work?

Answers

Answer:

4.2 laps per minute

Step-by-step explanation:

21laps/5min = 4.2laps/1min

Please help. I need to get this right.

Answers

Answer:

∡SYZ = 34.2°

∡XYZ = 68.4°

Step-by-step explanation:

∡SYZ = 34.2°  this must be true because this angle is congruent to ∡XYS

∡XYZ = 68.4°  this must be true because ∡XYZ = ∡WYS + ∡SYZ

Andrew owns a plumbing company .the table shows the total amount charged based on the number of hours it takes to complete a job . Which equation best represents this situation?

Answers

Andrew's charges is an illustration of a linear function

The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

From the table (see attachment), we have the following points

(x,y) = (1,57) and (2,69)

Start by calculating the slope (m)

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

So, we have:

[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]

Simplify fraction

[tex]\mathbf{m = \frac{12}{1}}[/tex]

Divide

[tex]\mathbf{m = 12}[/tex]

The equation is then calculated using:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 12(x - 1) + 57}[/tex]

Open brackets

[tex]\mathbf{y = 12x - 12 + 57}[/tex]

Evaluate like terms

[tex]\mathbf{y = 12x +45}[/tex]

Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

Read more about linear equations at:

https://brainly.com/question/20286983

f(x) = 5x – 2

slope of f =

Answers

Answer:

? we dint know

Step-by-step explanation:

A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?

Answers

Answer:

percentage change divided by real value, *100.

421-376 = 45

45/421 = approx. 0.10688361

*100 = 10.6%

Step-by-step explanation:

If the supplies on shelf A are normally $7 each and the supplies on shelf B are normally $6 each, how much will you save on each package plan from part a? Buying the first package will save $ and buying the second package will save $​

Answers

Pretty sure you’ll save 1 dollar for b and and lose one dollar for a

A function is represented by the values in the table.
THIS FUNCTION REPRESENTED IN THE TABLE (CHOOSE IS or IS NOT) LINEAR PIC BELOW

Answers

Answer:

IS LINEAR

Step-by-step explanation:

27.65 rounded to the second decimal place​

Answers

Answer:

To the second decimal place would be 28 because 27.65 is closer to 28 than 27. Hoped this helped.

simplify -9 with an exponent of -3

Answers

answer is 1/-729
step by step
neg exponent mean u flip so it would be 1/-9^3
then u solve -9^3 which is -729
1/-728
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