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

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]

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)


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

Pls what’s the answer

Answers

Answer:

D is correct option.

Step-by-step explanation:

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

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:

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

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:

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:

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.


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

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

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

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

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

Please help me find the range!

Answers

The range would be 0

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

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:

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!

hello pls help me. khan academy sucks

Answers

Answer:

straight angle

i think straight angle is right answer

Can someone help me plzz!! no links tho​

Answers

Answer:

A

Step-by-step explanation:

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

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!!

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

Which line segment is a radius of K?

Answers

Answer:

KD

JK

Step-by-step explanation:

Hope it helps you in your learning process

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

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

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

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

I will give brain list

Answers

Answer:

Step-by-step explanation:

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