The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur

Answers

Answer 1

Answer:

The probability that event B will occur is 0.45

Step-by-step explanation:

Given;

probability that event A occurs, P(A) = 0.4

the probability that events A and B both occur, P(A ∩ B) = 0.25

the probability that either event A or event B occurs, P(A ∪ B) = 0.6

To determine the probability that event B will occur, we use probability addition rule;

P(A) + P(B) = P(A ∩ B) + P(A ∪ B)

0.4 + P(B) = 0.25 + 0.6

0.4 + P(B) = 0.85

P(B) = 0.85 - 0.4

P(B) = 0.45

Therefore, the probability that event B will occur is 0.45


Related Questions

PLEASE ANSWER FAST

On 1 September, Leila starts to go swimming every day.
She swims 30 lengths of the swimming pool every day. The swimming pool is 20m long.
Work out the date when Leila has swum a total of 10 km.


Answers

Answer:

22 November

Step-by-step explanation:

First we have to find the total length she swims in 1 day

= 2(length of the swimming pool) x no. of lengths she swims in 1 day

=2x30x20

=120m she covers in 1 day

10km = 10,000m

no of days= total distance/ distance she covers in 1 day

=10000/120

=83.3 days

Look at the photo pick A B C D either one explanation not needed thank you! <3

Answers

Answer:

A?

Step-by-step explanation:

WILL GIVE BRAINLIEST!!! Which equation is modeled below? 4 x tiles and 2 negative 1 tiles = 2 x tiles and 4 1 tiles. 2 x + (negative 2) = negative 2 x + 6 4 x + (negative 2) = negative 2 x + 6 2 x + 4 = 6 x + 2 Negative 2 x + 4 = 6 x + (negative 2)

Answers

Answer:

B

Step-by-step explanation:

4x+ (-2) =-2x+6

just took the quiz

Answer:

B) 4 x + (-2) = -2 x + 6

Step-by-step explanation:

evaluate daw ito

9x2+25, for x = 1/3

Answers

Answer:

25

Step-by-step explanation:

9×(1/3)²+25=9×1/9+25=25

I can’t tell if that’s X squared or not. So if it’s not
Then the answer would be 31.
9(1/3)

If it is a squared then the answer will be 25.

ignore the answer chosen but does anyone know the answer to this pls asap!!

Answers

Answer:

The diagonals bisect each other

Step-by-step explanation:

2s = 10    s+5 = 10      FJ = JH

t+12 = 18   3t = 18    EJ = JG

Answer and ill mark u as brainlist with an explaination

Answers

Answer:

d

Step-by-step explanation:

Pls help i need to fnsh

Answers

Answer:

(1,0)

Step-by-step explanation:

Step-by-step explanation:

Are you here??

..........

i have a c please help it will mean alot

Answers

[tex]\Large\boxed{\tt Answer: 5\frac{2}{3} }[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

We can solve this by dividing both numbers by four.

[tex]\tt 8\div4=2\\12\div4=3\\\frac{2}{3}[/tex]

We then add that to 5 to get our answer.

A scientist uses a submarine to study ocean life she begins at C level which is at an elevation of 0 feet then she travel straight down for 90 seconds at a speed of 3.5 ft./s then she then travels directly up for 30 seconds how do you speed of 2.2 ft./s after this 120 seconds period how much time in seconds will it take for the sciences to travel back to see if level at the submarines maximum speed of 4.8 ft./s

Answers

9514 1404 393

Answer:

  10.625 seconds

Step-by-step explanation:

distance = speed · time

We want the total of all distances to be zero.

  (-3.5)(90) +(2.2)(120) +(4.8)t = 0

  -315 +264 +4.8t = 0 . . . . . simplify

  -51 +4.8t = 0 . . . . . . . . . . . simplify more

  -10.625 +t = 0 . . . . . . . . . .divide by 4.8

  t = 10.625 . . . . . . . . . . . . . add 10.625

It will take the scientist 10.625 seconds to reach sea level.


Change the word sentence into a mathematical equation. Tell what each variable represents.
1. A music club membership costs $17.00 and $7.00 per CD.
2. The total cost of a carpet is $3.00 times the number of square feet.
3. The amount of money you earn for allowance is $20 times the number of months.
4. The cost of belonging to a fitness club is $200 to join and $30 a month in membership dues.

Answers

Answer:

1. $17 + $7C.

This equation provides the total cost if you want to purchase a music CD along with a music club membership. C represents the amount of CDs you wish to purchase, and since each CD costs $7, the amount of money you would need to purchase C amount of CDs is $7C.

2. $3A.

This equation provides the total cost of the area of carpet you want to purchase. A represents the area of the carpet that you want to purchase, measured in square feet as provided by the question, and since each square foot costs $3, the total cost is $3A.

3. $20M.

This equation provides the total money you earn for allowance after M months. M is the number of months that have passed, and since you earn $20 for allowance every month, the total allowance you have earned is $20M.

4. $200 + $30M.

This equation provides the total cost for joining and staying in a fitness club for M months. The initial cost, $200, is applied no matter how many months you join, so we add it from the start; since each month, M, you have to pay $30, the total amount of membership dues is $30M.

Step-by-step explanation:

Hope this helped!

5x + 24 + 5(x + 5)
HELP FAST

Answers

5x+24+5(x+5)

Distribute:

=5x+24+(5)(x)+(5)(5)

=5x+24+5x+25

Combine Like Terms:

=5x+24+5x+25

=(5x+5x)+(24+25)

=10x+49

Answer:= 10x+49

solve for x

10x =-49

10/10x -49/10

x= -4.9

Hope this helps

5x + 24 + 5 (x + 5)

5x + 24 (5x + 25)

(5x + 5x) + (24 + 25)

= 10x + 49

but if you have to solve for x

10x = 49

10/10 = 0
49/10 = 4.9
x = 4.9

A square has a perimeter of 36 millimeters.
What is the area of the square?

Answers

Answer:

A=81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

36/4=9

9*9=81

2) A big league pitching coach tries to limit his pitchers to 110
pitches per game. If the pitcher has already thrown 52
pitches, write and solve an inequality to find how many more
pitches he can throw before reaching the limit.

Answers

P is less than or equal to (<) 110-52 you want to use the < sign with a line under it. The minus 52 is because he has already thrown 52 out of his 110 and P is how many pitches he is alloted

I needddd helpppppppp

Answers

Answer:

B the second one -1/3

Step-by-step explanation:

hopefully this helps

A. Explain why ABC and ADBE
are similar
B. What is the height of the building?


Answers

Step-by-step explanation:

This figure is not the best, but I'll try my best here

Since BC is parallel to BE (BC is part of BE) and BA is part of BD, two sides are  parallel, making two angles congruent and the triangles therefore similar.

Since BA correlates to BD (they are parallel), we can use the knowledge that BA is 7 and BD is 42 to find the scaling factor to be 42/7 =6 from ABC to DBE. Since BC correlates to BE, BC = 10, and the scaling factor is 6, BC*6=BE= 60 = height

What is the range of this (may be more than one answer)

Answers

the area of variation between upper and lower limits on a particular scale.The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number.

Help PLEASE ASAP, Algebra question, need steps

Answers

Answer: x=2

Step-by-step explanation: I download and I see your work and that my answer up there, hope this help

Another name for 3/3 is
OA) 0
OB) 3
OC) 1

Answers

3/3 is equal to 1 :)
your answer would be C because 3 dived by 3 is 1

I will mark brainliest for the best and first answer .......:​

Answers

Answer:

its the first one

Step-by-step explanation:

Steven and Brittney are both starting lawn mowing businesses to save money to buy a dog. Steven charges $20 a yard and $6 an hour. Brittney charges $28 a yard and $5 an hour. How many hours will they need to work to have the same amount of money? If the cost of the dog is $300, who will be able to buy it first? Pick two correct statements only.
1. 8 hrs to have the same amount of money
2. 18 hrs to have the same amount of money
3. Brittney will be able to buy the dog first
4.Steven will buy will be able to buy the dog first

Answers

Answer:

https:brainly.com/question/20068899

Someone please help me!

Answers

Answer:

A. [tex] x \leq -16[/tex]  

B. b > 11

C. [tex] c \leq -13 [/tex]

D. [tex] x \geq -9[/tex]

Step-by-step explanation:

Given the following algebraic expression;

A. [tex] \frac {3x}{4} \leq 12 [/tex]

We would simplify the equation by multiplying all through by 4;

[tex] 4 * \frac {-3x}{4} \leq 12 * 4[/tex]

[tex] -3x \leq 48[/tex]

Divide both sides by -3;

[tex] x \leq -16[/tex]

B. 5b - 28 > 27

Rearranging the equation, we have;

5b > 27 + 28

5b > 55

Divide both sides by 5

b > 11

C. [tex] 13c \leq -169[/tex]

Divide both sides by 13

[tex] c \leq -13 [/tex]

D. [tex] 3x - 7 \geq 4x + 2[/tex]

Collecting like terms, we have;

[tex] 3x - 4x \geq 2 + 7[/tex]

[tex] -x \geq 9[/tex]

Divide both sides by -1

[tex] x \geq -9[/tex]

Lena makes home deliveries of groceries for a supermarket. Her only stops after she leaves the supermarket are at traffic lights and the homes where she makes the deliveries. The graph shows her distance from the store on her first trip of the day.
Give the domain of the function and relate the domain to the relationship described

Answers

What is the greatest possible number of stops she
made at traffic lights? Answer: 3

A farmer is selling apples from his orchard. He uses the equation c = 1.6pto calculate the total cost, c, for every pound of apples, p.

a.) How much does a customer pay for 1 pound of apples?

b.) How much would 8.5 pounds of apples cost?

c.) A customer spent $5.20. How many pounds of apples did they purchase? ​

Answers

Answer:

A) $1.60

B) $13.60

C) 3 1/4 lb

Step-by-step explanation:

What we know:

A farmer uses the equation c = 1.6p to calculate the total cost, c, for p pounds of apples.

A) 1 pound would cost $1.60, as that is the unit rate.

B) 8.5 * 1.6

8.5 + (0.6 * 8.5)

8.5 + 5.1 = $13.60 for 8 1/2 lbs of apples.

C) 5.2/1.6

52/16

13/4 = 3 1/4 lbs of apple for $5.20

Subtract to find the value of 15(2/3-2/5)

Answers

Answer:

[tex]4[/tex]

Step-by-step explanation:

Simplify the expression

NEED HELP ASSP!! please help!!??

Answers

Answer:

Step-by-step explanation:

this is a 30 60 90 triangle.. b/c 2 of the angles are given and you know the total is 180 around a triangle so the last angle is 30

also you know the hypotenuse of this triangle is 10 so use cos and sin to figure out the other sides

Use SOH CAH TOA to remember how the sin and cos functions fit on the triangle

CAH = Cos(Ф) = Adj/ Hyp   we are given the Ф angle and we know the hypotenuse so solve for the Adj side

Hyp*Cos(Ф)= Adj

10 * Cos(60) = Adj

5 = Adj = y

Use Sin for the other side  and the mnemonic to remember how it fits on the triangle and solve for the Opposite , since we don't know that .. yet

Sin(Ф) = Opp/ Hyp

Hyp * Sin (Ф) = Opp

10 * Sin(60) = Opp

10 *[tex]\sqrt{3}[/tex]/2 = Opp

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

:) I know Sin(60) = [tex]\sqrt{3}[/tex]/2  from a table and also my memory .. know that one from memory

PLEEAAASE IIIIIIIIIII NNNNNNNNNEEEEEEEEEEEEDDDDDDDD HEEEEEEEEEEEEEEEELLLLLLLLLLLPPPPPPPPPPPP

Answers

Answer:

9

Step-by-step explanation:

In order for this problem to have more than one solution, one will have to make it such that the two sides are equal. Call the unknown quantity "x", and solve this equation like a literal equation;

5u + 3(4u - 6) = -3u - 27 + 20u + x

Simplify, (distribute and combine like terms);

5u + 12u - 18 = 17u - 27 + x

17u - 18 = 17u - 27 + x

Inverse operations;

17u - 18 = 17u - 27 + x

-17u         - 17u

-18 = -27 + x

+27   + 27

9 = x

Answer: 9

Step-by-step explanation:

what is 281.4/10*0?

No steps needed just answer

Answers

Answer:

0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

evaluate
Evaluate-8÷2+12×9-4×6

Answers

Answer:

Step-by-step explanation:

Use PEDMAS  {Parenthesis ; Exponent ; Division ; Multiplication ; Addition; Subtraction }

8÷2 + 12*9 - 4*6 =  4 + 12*9 - 4*6     {Division}

                          = 4 +  108 - 24          {Multiplication}

                          = 112 - 24                  {Additon}

                          = 88

Answer: 88

Step-by-step explanation:

Evaluate using PEMDAS.

P = Parenthesis; There are no parenthesis in this expression

E = Exponents; There are no exponents in this expression

M = Multiplication; 12 x 9 = 108, 4 x 6 = 24

D = Division; 8/2 = 4

A = Addition; 4 + (12 x 9) = 112

S = Subtraction; (4 + (12 x 9)) - (4 x 6)

112 - 24 = 88

pls, help hurry! a⁴-9
and explain pls

Answers

Answer:

[tex] {a}^{4} - 9 \\ = {a}^{ {2}^{2} } - {3}^{2} \\ let \: {a}^{2} \: be \: y \\ = {y}^{2} - {3}^{2} \\ from \: difference \: of \: squares \\ = (y - 3)(y + 3) \\ substitute \: for \: y \\ = ( {a}^{2} - 3)( {a}^{2} + 3)[/tex]

Answer:

100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE2 g. Describe your results in terms of precision and accuracy. Explain your answer in a paragraph for the best grade.

Step-by-step explanation:

Eric rented a truck for one day the base fee was 16.95 for additional charge of .76 cents for each mile driven eric had to pay 152.23 when he returned the truck how many miles did he drive

Answers

Answer:

178 miles

Step-by-step explanation:

Let Eric has driven d miles.

As the rate of charge of driving the truck = 76 cents /mile

So, the charge of driving the truck for d miles = 76d cents= $0.76d

The base fee of the truck was $16.95.

Total money paid at the time of returning the truck = $152.23

So, 16.95+0.76d=152.23

0.76d= 152.23-16.95=135.28

d=135.28/0.76

d=178

Hence, he drives 178 miles.

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