P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?​

Answers

Answer 1

Answer:

P(A and B) = 7/80

Step-by-step explanation:

The given values of the probabilities of the different events are;

P(A) = 7/20

P(B) = 7/20

P(A or B) = 49/80

P(A and B) = Required

We have by probability theory for any event;

P(A or B) = P(A) + P(B) - P(A and B)

Therefore;

P(A and B) = P(A) + P(B) - P(A or B)

Plugging in the values gives;

P(A and B) = 7/20 + 7/20 - 49/80 = 7/80

∴ P(A and B) = 7/80


Related Questions

NEED HELP ASAP PLEASE PRETTY SIMPLE TYSM

Answers

Answer:

[tex]2x + 3y = 6 ---(1)\\y = \frac{x}{6} - 3 ----(2)\\\\substitute \ y \ in \ (1)\\2x + 3(\frac{x}{6} - 3) = 6\\\\2x + \frac{x}{2} - 9 = 6\\\\\frac{5x}{2} = 6+9\\\\\frac{5x}{2} = 15\\5x = 30 \\x = 6\\substitute \ x \ in \ (2)\\\\y = \frac{6}{6} -3 = 1 - 3= -2[/tex]

x = 6, y = -2


Last year, a population of rabbits had 20 births, 10 deaths, 15 individuals immigrate, and 15 individuals emmigrate.
What is the change in population size for the rabbits that year?

Answers

Answer:

+10

Step-by-step explanation:

35 - 25 = 10. I got 35 because 20 + 15 from the bunnies immigrating and 25 from the deaths and bunnies emmigrating out of the population.

THIS IS URGENT PLZ HELP!!!

Find three consecutive EVEN numbers such that: The sum of one sixth of the first number, two sevenths of the second number and one half of the third number equals 54

Answers

Answer:

12

Step-by-step explanation:

2

4

6

8

10

12

14

16

18

20

22

24

26

what the answer for this equation 2+(3-2x2)x1

Answers

Answer:

I got 1 (but i was using math.way so im so sorry if its wrong)

Step-by-step explanation:

also i love your pf.p

Answer:

2+(3-2*2)*1

2+(3-4)*1

2+(-1)*1

2-1

1 answer

if 2/3x - 1 = 4 then x = ?

Answers

Answer: 2/15

Step-by-step explanation:

2/3x-1(3x/3x)=4

2/3x-3x/3x=4

2-3x=12x

2=15x

x=2/15

Fabric is on sale for these prices: orange, $3 per yard; blue, $4 per yard; yellow, $2.50 per yard; and white $1.50 per yard. Irma needs to buy 3 different colors of fabric with a total length of 2 yards. She has a budget of $6. What fabrics could she buy?

Answers

Answer:

Yellow White And Orange I pretty Sure!! Im sorry if this is not what you want! I can change it if so.

Step-by-step explanation:

I will give brain list

Answers

Answer:

Step-by-step explanation:

can someone please help me?? as soon as possible! would really appreciate it

x = ___ units

Answers

Answer:

[tex] RT = \frac{ \sin(60 \degree) }{ \sqrt{3} } \\ RT = 0.5 \\ x = RT \tan(45 \degree) \\ x = 0.5 \times \tan(45 \degree) \\ x = 0.5 \: units[/tex]

Answer:

the first angle is 180 - (90 + 60) = 30

second angle is 180 - (45 + 90) = 45

30 + 45 = 75

3\/- 75 = 4.217163327 units

Which line segment is a radius of K?

Answers

Answer:

KD

JK

Step-by-step explanation:

Hope it helps you in your learning process

A rectangular swimming pool has a base with measurements of 25 meters and 17 meters. The height of the pool is 2 meters, what is the volume of the pool

Answers

Answer:

850m³

Step-by-step explanation:

Volume is length X width X height.

So, 25 x 17 x 2 = 850 meters cubed

The Old-Fashioned but Newfangled Candy Company wants to mix some of its $5.50 per pound Tropical Taffy, with 100 pounds of its $6.25 per pound Passion Fruit Taffy to create a $6 per pound taffy called Tropical Passion. How many pounds of the $5.50 per pound Tropical Taffy should the company use?​

Answers

Answer:

50

Step-by-step explanation:

x= the number of pounds of the tropical taffy that should be used

You need to take the value of the Tropical Taffy + the value of the Passion Fruit taffy to = the value of Tropical Passion

value- price per pound times the number of pounds

Your equation is going to look like this-->

5.50x+6.25(100)=6(x+100)

5.50x+625=6x+600

-5.50x        -5.50x

625=0.5x+600

-600         -600

25=0.5x

50=x

Hope this helps!

Examine the expression. 17x - 34 Which is an equivalent expression? O 17*(1 + ) O 17x (1-2) O 17+(1-1) O 17*(1 + 2)​

Answers

Answer:

17(x-2)

Step-by-step explanation:

Given the expression

17x - 34

We are to factorize it

Get their factors

17x = 17 * x

34 = 17 * 2

Since 17 is common to both factors, hence 17 is the GCF

17x - 34 = 17(x - 2)

Hence the equivalent expression is 17(x-2)

66 oz = __lb in a mixed number

Answers

Answer:

[tex]4\frac{1}{8}[/tex] pounds

Step-by-step explanation:

1 pound = 16 ounces

[tex]\frac{66}{16} =\frac{y}{1}[/tex]

16 × y = 66 × 1

16y = 66

16y ÷ 16 = 66 ÷ 16

[tex]y=4\frac{1}{8}[/tex]

Answer: 4 1/8

Step-by-step explanation:

16 oz in 1 lb

64 -> 4 lb

2/16 = 1/8

4 1/8 lb

Can somebody help me out my grade are bad

Answers

Answer:

I would make a triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pls what’s the answer

Answers

Answer:

D is correct option.

Step-by-step explanation:

g(x) =-3 root x-1.

Please explain how - calc ab - see attached photo

Answers

Answer:

D

Step-by-step explanation:

Set up to different integrals that match the endpoints

so in our case it would look like

[tex]\int\limits^0_{-2} {x} \, dx +\int\limits^1_0 {x+1} \, dx[/tex]

now it's just a matter of computing it

[tex]\int\limits^0_{-2} {x} \, dx =x^2\\0^2-(-2)^2=4\\\int\limits^1_0 {x+1} \, dx =\frac{x^2}{2}+x\\\frac{1}{2}+1-0=\frac{3}{2}\\\frac{3}{2}+4=\frac{11}{2}[/tex]

Can someone help me plzz!! no links tho​

Answers

Answer:

A

Step-by-step explanation:

20/100 + 4/10 =20/100 + x = x move a fraction to make the equation true

Answers

Answer:

remove 4/10

20/100=20/100= 1 which is x

Step-by-step explanation:

Mrk ME BRAINLIEST PLZZZZZZZZZZ

Samuel wants to buy cookies for his friend. The diameter of a cookie is 20 inches. What is the cookies area? Round to the nearest hundredth

Answers

Answer:

314.16

Step-by-step explanation:

Area=πr2

d=2r

Solving for Area

A=1

4πd2=1

4·π·202≈314.15927

hello pls help me. khan academy sucks

Answers

Answer:

straight angle

i think straight angle is right answer


Select all the right triangles, given the lengths of the sides.

Answers

Answer:

A and E are right triangles

Triangles A and triangle E are the right-angle triangle, but triangles B, C, and D are not right-angle triangles.

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.

Applying in Pythagoras theorem in the triangle A:

(√5)² = (√2)²+ (√3)²

5 = 5

Triangle A is the right-angle triangle.

For triangle B:

(√5)² = (√4)²+ (√3)²

5 ≠ 7

Triangle B is not the right-angle triangle

For triangle C:

16 + 25 ≠ 36

triangle C is not a right-angle triangle

For  triangle D:

25 + 25 ≠ 49

triangle D is not a right-angle triangle

For triangle E:

100 = 36 + 64

It is a right-angle triangle.

Thus, triangles A and triangle E is the right angle triangle.

Learn more about a right angle;

https://brainly.com/question/7116550

#SPJ2

Can you help me please

Answers

Answer:

∠1 = 48

∠2 = 132

∠4 - 132

Step-by-step explanation:

∠3 and ∠1 are vertical angles

vertical angles are congruent ( equal to each other )

So if ∠3 = 48° then ∠1 also = 48°

∠3 and ∠4 are supplementary angles

supplementary angles add up to equal 180°

Hence, ∠3 + ∠4 = 180

48 + ∠4 = 180

180 - 48 = 132

Hence, ∠4 = 132

∠4 and ∠2 are vertical angles

Like stated previously vertical angles are congruent

Hence, ∠2 = 132

I need help with this one! Please

Answers

Answer:

Less than or equal to 0

Step-by-step explanation:

You selected the correct answer.

Hope this helps

In a right triangle, angle φ has a tangent value of 1.40. The side adjacent to angle φ has a length of 9.0 inches. What is the length of the side opposite angle φ?
a. 6.4 inches
b. 12.6 inches
c. 9.1 inches
d. 54.4 inches

Answers

Answer:

b) 12.6 inches

Step-by-step explanation:

tangent is the ratio of the side opposite over adjacent, so if we let x= length of the opposite side, 1.40=x/9, x=12.6 inches

b) 12.6 inches

Hope it helps!!

HELP is 3.31227766... a rational OR irrational number?

Answers

Answer:

irrational

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

irrational.

Step-by-step explanation:

Here!! no links please

Answers

Answer:

area = 66.28 km²

Step-by-step explanation:

area = (8 x 2) + (11 x 4) + (3.14)(2²)(0.5) = 16 + 44 + 6.28 = 66.28 km²

Answer:

Solution given:

area of semi circle=½×π×r²=½π×2²=6.28km²

area of rectangle ABCD=L×b=3×4=12km²

area of rectangle EFGC=L×b=8×6=48km²

total area =6.28+12+48=66.28 square kilometers.

Please help me find the range!

Answers

The range would be 0

Which is greater, the circumference of a circle with radius 3 ft, or the distance around a semicircle with diameter 16 A? By how much? circle, by 40 ft circle, by 2n ft semicircle, by 40 ft Od semicircle, by 21 ft​

Answers

Answer:

Option C

Step-by-step explanation:

Circumference of a circle = [tex]2\pi r[/tex]

Circumference of a circle with radius 3 ft= [tex]2\pi *3 = 6\pi[/tex]

Circumference of a circle with radius 8 ft or 16 ft= [tex]2\pi *8/2 = 16\pi/2 = 8\pi[/tex]

The difference between the two circle

[tex]8 \pi - 6\pi = 2\pi \\= 2 * 3.14\\= 6.28\\[/tex]

Hence, option C is correct

4) Write the equation for the line of best fit shown in the graph below. Show all your work.
(3 points)

Answers

Answer:

3y = 2x+6

Drawing:

Marcus is choosing 4 books to read from a list of 15 books. If order matters, how many ways can he choose to read the books?


4

32,760

23,760

60

Answers

Answer:

32,760

Step-by-step explanation:

Given :

Since the order matters, we use the permutation relation :

Recall :

nPr = n! ÷ (n - r)!

n = 15 ; r = 4

15P4 = 15! ÷ (15 - 4)!

15P4 = 15! ÷ 11!

15P4 = (15 * 14 * 13 * 12)

15P4 = 32,760

Other Questions
Help me lable cells pls? Prokaryote and Eukaryote? What genralization can be made by comparing the lifestyle of the Inuit of the Arctic to the lifestyle of natchez in the southwest Analyze Hortensio's feelings when he suspects Bianca may be interested in Lucentio.Explain whether his response complicates or simplifies the Bianca subplot. What are the monomers that determine the shape of a protein? X-y=6, x+y=8, zx+zy=20 Help wit my math im struggling n ion understand Which statements are true about the graph of y s 3x + 1 and y 2 -x + 2? Check all that apply.O The slope of one boundary line is 2.O Both boundary lines are solid.A solution to the system is (1, 3).O Both inequalities are shaded below the boundary linesO The boundary lines intersect. can someone write a paragraph with at least 5 sentences to answer this question? What did you learn about American history and innovation? 16 points! A dog is running in a circle around a tree, trying to catch a rabbit. The dog's owner notices thedog completes 4 laps around the tree in 32 seconds and the radius of the dog's circular path is3 meters. What is the tangential velocity of the dog? do you think that a mothers love for her child is common as well as humans ? say why you think so and give an example to support your view A ray of light traveling in water hits a glass surface. The index of refraction of the water is 1.33, and that of the glass is 1.50. At what angle with the plane of the surface must the incident ray strike the glass in order that the polarization of the reflected ray is the greatest Who is died in aot A. Carla Yeager B. Levi Ackerman C. Mikasa Ackerman Problem 11-11 Calculating Operating Leverage [LO4] At an output level of 62,000 units, you calculate that the degree of operating leverage is 3.7. The output rises to 67,000 units. What will the percentage change in operating cash flow be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Will the new level of operating leverage be higher or lower? please show work, thanks what type of business is Mr Tan engaged at? Sydney asked her friends to write down the number of hours they practice their instruments each week. The data is shown.1,6,6, 5, 2, 2, 0, 5, 6, 7What is the median of the data?O A 2OB. 4O c. 5OD. 6O E. 7 5. (MGSE9-12.A.CED.2, MGSE9-12.F.BF.1) Which equation is equivalent to f(x) =-3(x - 2)2 + 14?A. f(x) = -3x2 + 2B. f(x) -3x +26*C. f(x) = -3x2 - 4x + 18D. f(x) = -3x2 + 12x + 2 Solve for x: 4(x + 5) = 3(x - 2) -2(x + 2)Ill mark brainiest I need an answer ASAP Please no troll include work Which two sentences in the play Trust: A Beautiful Thing represent the authors message?That's because none of their parents appreciate good music the way I do.Trust is a beautiful thing, Seth.I heard that instead of being caught up in it, you walked away and advised your friends to do the same.Why on earth should I trust you to go to a concert by yourself?You can choose who you are and how you behave when I'm not around.