If A and B are two independent events with P(A)=2÷3 and P(B) =1÷5, find P(AUB).​

Answers

Answer 1

Answer:

[tex]for \: independent \: events : \\ P(AUB) = P(A) + P(B) \\ P(AUB) = \frac{2}{3} + \frac{1}{5} \\ = \frac{13}{15} [/tex]

Step-by-step explanation:

P(AUB) is P(A) + P(B) because P(AnB) is zero.

[tex]P(AUB) = P(A) + P(B) - P(A{ \huge{n} }B) \\ P(AUB) = P(A) + P(B) + 0[/tex]


Related Questions

x−9≥−12 Express your answer as an inequality.

Answers

Answer:

x ≥ −3

Step-by-step explanation:

Step One : Add 9 to both sides.

x − 9 + 9 ≥ −12 + 9

x ≥ −3

There is no more to be done, that is our answer. x ≥ −3.

Hope this helps, please mark brainliest! :)

In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.

Answers

Answer:

CE = 3

Step-by-step explanation:

Given:

AE = 3

EB = 4

CE = x

ED = x + 1

Required:

CE

Solution:

First we need to determine the value of x by generating am equation as follows:

CE × ED = AE × EB (Interacting Chords Theorem)

Substitute

x × (x + 1) = 3 × 4

x² + x = 12

Subtract 12 from each side

x² + x - 12 = 12 - 12

x² + x - 12 = 0

Factorize to find the value of x

x² + 4x - 3x - 12 = 0

x(x + 4) -3(x + 4) = 0

(x - 3)(x + 4) = 0

x - 3 = 0

x = 3

Or

x + 4 = 0

x = -4

Let's use the positive value of x

CE = x = 3

a phone company uses the expression 1.25 + 0.10m to calculate the cost of a phone call that lasts m minutes. what is the cost of a call that lasts 20 minutes?

Answers

Answer:

[tex]f(20) =3.25[/tex]

Step-by-step explanation:

Given

[tex]f(m) = 1.25 + 0.10m[/tex]

Required

[tex]f(20)[/tex]

We have: [tex]f(m) = 1.25 + 0.10m[/tex]

Substutute 20 for m

[tex]f(20) =1.25 + 0.10*20[/tex]

[tex]f(20) =1.25 + 2[/tex]

[tex]f(20) =3.25[/tex]

PLEASE HELP ME!!!

WILL BE WORTH 10 POINTS!!!

I WILL MARK BRAINLIEST!!!


Please answer the 3 questions on the picture.

I would appreciate it so much!

Answers

1) 3x=(4x+50-30)/2
x=10

Explanation: (1/2)(big arc - small arc), plug in the numbers and solve

2) 15•x=33•10
x=22

Explanation: a•b=c•d, plug in the numbers and solve

3) (x+8)•8=(24+4)•4
x=6

Explanation: W•E=W•E, whole•external part= whole•external, plug in the numbers and solve

complete the equation describing how X and Y are related.

Answers

Answer:

y=3x-2

Step-by-step explanation:

Phương trình có dạng: ax+b=y

Chọn 2 hàng bất kì để tạo thành một hệ phương trình 2 ẩn, ta có:

-2a+b=-8 và –a+b=-5

Giải hệ phương trình ta được a=3, b=-2

x^2+2x+7=21 the approximate value of the greatest solutoon to the equation, rounded to the nearest hundreth​

Answers

9514 1404 393

Answer:

  x ≈ 2.87

Step-by-step explanation:

We  can subtract 6 to put the equation into a form easily solved.

  x^2 +2x +1 = 15

  (x +1)^2 = 15

  x +1 = √15 . . . . . for the greatest solution, we only need the positive root

  x = √15 -1 ≈ 2.87

QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer​

Answers

Step-by-step explanation:

{2,3,5,7,9,11,13,15,17,19}

Find the value of x. Leave your answer in simplest radical form.

Answers

I can’t type the root

This college has one of the highest median graduation rates and the best consistency in graduation rates over time.

Answers

Answer:

70 has the most groups

Step-by-step explanation:

from the graph

Answer:

Step-by-step explanation:

The dark blue graph illustrates these two requirements.  The rates represented there have the highest median.  

Same graph illustrates consistency in outcomes, as the graduation rates vary little from their median.

The pyramid shown below has a square base, a height of 7, and a volume of 84 cubic units.
What is the length of the side of the base?
12
36
6
18

Answers

Just divide 84 / 7 and will be 12

lim x->1+( sin(1-x)-(e^(x-1))+1)/ lnx

Answers

We're given the one-sided limit,

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}[/tex]

Evaluating the limand directly at x = 1 gives the indeterminate from

(sin(1 - 1) - exp(1 - 1) + 1) / ln(1) = 0/0

so we can potentially solve the limit by applying L'Hopital's rule. Doing so gives

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}=\lim_{x\to1^+}\frac{-\cos(1-x)-e^{x-1}}{\frac1x}=\frac{-\cos(0)-e^0}{\frac11}=\boxed{-2}[/tex]

I have a linear equation word problem pic to follow ​

Answers

Yes, go ahead , where is pic?

II. Which of the following is a solution of
the equation 25m 25?
A 0.10
B 0.15
C 0.18
D 0.30

Answers

Answer:

A 0.10

Step-by-step explanation:

We are given the following equation:

[tex]25m = 2.5[/tex]

Passing 25 to the right side of the equality, doing the inverse operation(division).

[tex]m = \frac{2.5}{25} = 0.1[/tex]

Thus, the correct answer is given by option A.

In the accompanying diagram of circle o, chords AB and CD
intersect at E. If AE = 3, EB = 4, CE = x, and ED = x +1,
find CE

Answers

Answer:

x = 3

Step-by-step explanation:

Given :

AE = 3, EB = 4, CE = x, and ED = x +1,

Equating chord AB and CD

AE*EB = CE*ED

3*4 = x*(x+1)

12 = x² + x

x² + x - 12 = 0

x² +4x - 3x - 12 = 0

x(x + 4) - 3(x + 4)

(x + 4) = 0 or (x - 3) = 0

x = - 4 or x = 3

Distance can't be negative :

x = 3

Which graph shows Point Pin Quadrant II and Point Q as (3,-4)

Answers

Answer:

p would be up top on the negative side (left)

q would be at the bottom on the positive side (right)

Kate lanes a letter against her house to get to the roof. The house is 25 feet tall and I put a ladder is 15 feet away from the side of the house. What is the angle that the latter makes with the ground?

Answers

Answer:

this is the correct answer

estimate the quotient for the following problems. 482 ÷ 5 ​

Answers

Answer:

100

Step-by-step explanation:

482 ÷ 5 = 96.4

96.4 -> 100

Hope this helps! Brainliest?

Answer:

Quotient: 96

Step-by-step explanation:

482/5= 96R2

Quotient: 96

Remainder: 2

Write the equation in standard form for the circle with center (0, -2) and radius 7.

Answers

Answer:

(x)^2+ (y+2)^2 = 49

Step-by-step explanation:

The standard form of a circle is

(x-h)^2+ (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-0)^2+ (y--2)^2 = 7^2

(x)^2+ (y+2)^2 = 49

The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below.

StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths

Which property was applied in this step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality

Division Property of Equalit

Answers

ok so the first step to solve it is subtraction then it’s multiplication then additions

A student needs 12 minutes to solve an algebra problem how many minutes does the student need to solve 6 problems

Answers

Answer:

72

Step-by-step explanation:

12 * 6 = 72

of course, IRL not every problem takes the same amount of time

Answer: if they are all algebra questions then 72

Step-by-step explanation:

12 + 12 + 12 + 12 + 12 + 12= 70

QUESTION 14 · 1 POINT
Translate the English phrase into an algebraic expression: 6x less than 81xsquared

Answers

Answer:

Step-by-step explanation:

81x² - 6x

Answer:

81x² - 6x

Step-by-step explanation:

81x² - 6x

AB = 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
12 cm
55°
6 cm

Answers

Answer:

12.7 cm

Step-by-step explanation:

We can obtain CB using Pythagoras :

CB = √12² - 6²

CB = √108

CB = 10.39

Using CB,

We can apply trigonometry on triangle BCD to obtain the length of CD

Sin θ = opposite / hypotenus

Sin 55 = CB / CD

Sin 55 = 10.39 / CD

CD = 10.39 / sin 55

CD = 12.68

CD = 12.7 cm

What is an equation for the line that passes through the coordinates (2, 0) and (0, 3)?

Answers

Answer:
Not sure if this is correct but I hope this helps :)

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
5
60°
10
x
Not drawn to scale

Answers

Answer:

D

5 sq.rt. 3

Step-by-step explanation:

use the pythagorean theorem: a^2 + b^2 =c^2

5^2 + x^2 = 10^2

25+ x^2 =100

x^2 = 100 - 25

x^2 =75

x = [tex]\sqrt{75}[/tex]

x = 5 [tex]\sqrt{3}[/tex]

Does this a graph show a function? Explain how you
know.
O A. Yes; there are no y values that have more than one x-value.
O B. No; there are y-values that have more than one x-value.
O C. Yes; the graph passes the vertical line test.
O D. No; the graph fails the vertical line test.

Answers

Answer:

D. No; the graph fails the vertical line test.

Step-by-step explanation:

If any vertical line intersects a graph more than once it is NOT a function


[tex]xy = 3xy + 25 \\ 3 = y - 20[/tex]
solve for x andy

Answers

Answer:

x= -0.5

y= 23

Step-by-step explanation:

3=y-20 so y= 23

xy=3xy+25

23x=69x+25

-46x= 25

x=-0.5

X= 0.5. Solving for Andy

Please solve for angle C

Answers

Answer:

29

Step-by-step explanation:

tan c = opposite / adjacent

c = tan -1 (25/45) = 29

Answer:

Step-by-step explanation:

tan C = opp/adj

sin C = 25/45

sin C = 0.5556

C = sin^-1 0.5556

= 33.75

Please hurry
A rectangular prism has a length of 9 cm, a width of 3 cm, and a height of 5 cm.
5
9
Which expressions can be used to find the volume of the prism?
Choose two correct answers.
(5)(3)(9)
27(5)
9(3+5)
5 (279)

Answers

Answer:

the first one and the second

Step-by-step explanation:

.


PLEASE HELP DUE IN 15 MINUTES

Answers

9514 1404 393

Answer:

3280

Step-by-step explanation:

The equation y = 8x means the value given for x is multiplied by 8.

1. 8 × 4 = 32 . . . scales in 4 days

2. 8 × 10 = 80 . . . scales in 10 days

a rectangular room is 15ft long, 14ft wide and 8.0ft high. what is the length of the longest diagonal from one corner to another of the room​

Answers

Answer:

20.51ft

Step-by-step explanation:

Given data

Length= 15ft

Width= 14ft

Height= 8ft

Because we want to find the diagonal, let us use the Length and the width

We can get the diagonal by applying the Pythagoras theorem

z^2= x^2+y^2

z^2= 15^2+ 14^2

z^2= 225+ 196

z^2= 421

square both sides

z= √421

z=20.51 ft

Hence the diagonal is 20.51ft

Other Questions
Four accounting majors, two economics majors, and three marketing majors have interviewed for five different positions with a large company. Find the number of different ways that five of these could be hired. Instead of five positions, the company has decided that only three positions, with no restriction on the college majors, must be filled. A. 2520 ways B. 24 ways C. 504 ways D. 6 ways A ladder 30m long rest against a vertical wall. If the ladder makes an angle of 63 with the wall ,find the distance between the foot of the ladder and the wall What bodies of water may be cold What is the solution to the system of equations graphed below? Prove for any positive integer n, 1x2 + 2x3 + 3x4....n(n+1) = n(n+1)(n+2)/3 Please please help me I really need help The questions are1)Calculate the perimeter of this figure.2)Calculate the area of the shaded region. Michelle is a financial analyst who works 47.75 hours a week. Michelle earns $27 per hour as a financial analyst, and herovertime pay rate is time-and-a-half. If full-time employment is considered 40 hours per week, how much does Michelleearn each week? Round to the nearest penny.O $1,353.78$1,393.88$1,423,68o $1.453.68 Which is one way that analyzing ice benefits scientists who study ancient climates?Scientists can analyze frozen volcanic dust to help predict eruptions. Scientists can study the layers of ice cores to gather information about past atmospheric composition.Scientists can use pollen grains in ice to make inferences about the climate area.Scientists can study tree rings in ice to learn more about past climates. !!! no links !!! You should have an assistant or help when photographing groups or children True or false? Select the correct answer.Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?A. Shape 1 and shape 2 are not congruent.B. A translation will prove that shape 2 is congruent to shape 1.C. A rotation and a translation will prove that shape 2 is congruent to shape 1.D. A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1. Activity 3Directions: Answer the following questions. Write atleast 1-2 sentences on the blank provided.1. What difficulties did you encounter in this lesson?2. What are the challenges in editing audio-video material?3. What skills and values did you get from the activities?4. Give some example of application to make an audio-video material.5. What is the best application for you, to make an audio-video editing? Explain the physical, cognitive, psychosocial, and moral dimensions of development. What is fracking??????????? 1. A boat is floating on the water.One of the forces acting on the boat is the weight. This is the force of the Earth on the boat.aState the other force in this interaction pair.(1 mark) What is the value of X?What is the relationship between the marked angles?:Linear pairExterior angle of a triangleCorresponding anglesVertical anglesAlternate interior angles Here are 2 right triangles.9Sa. Explain how you know the right triangles are similar.Type your response in the space below. B The iceburg lettuce harvest case study _____ properties include melting point, boiling point, strength, and malleability Find the volume of 6.45 moles of gas present at a temperature of 27.0oC and a pressure of 675 torr. Hey everyone, I'm starting honors chemistry next year and I want to get prepared for the class. What are the basic keys information that I need to know for the subject. Thanks!