A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these homes are usually left unlocked, what is the probability that the real estate agent can get into a specific home if the agent selects 3 master keys at random before leaving the office?

Answers

Answer 1

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of [tex]^8C_3[/tex] possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

[tex]P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }[/tex]

[tex]P(S) = \dfrac{21}{56}[/tex]

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625


Related Questions

How can we write 1000 as a multiple of 10?How can we write 1000 as a multiple of 10?

Answers

Answer:

10 x 10 x 10

Step-by-step explanation:

Or just add zeros

Kinda confused by the question tho

Answer:

Hmm, ok so-

Step-by-step explanation:

10 x what equals 1000-

Just think.

10 x 100 = 1000

Diego and other farmers harvested tomatoes for barangay's gulayan day. they were able to fill 56.5 kaings each weighing 18.75 kilograms


1. About how many kilograms of tomatoes were harvested for the gulayan day?

2. if they would sell the tomatoes for 24.25 a kilo,

a. by how much would they get for one kaing?

b. by how much would they get for all the tomatoes?

3. A businessman bought all the tomatoes, but will was given 1.5 kilograms free for each kaing. About how much would he pay?

Answers

Number 1

56.5 kaings each weighing 18.75 kilograms

56.5 × 18.75 = 1059.375 kilograms

Answer : 1059.375 kilograms

Number 2 (A)

$24.25 a kilo and 18.75 kilograms for one kaings

18.75 × $24.25 = $454.6875

Answer : $454.69

Number 2 (B)

$24.25 a kilo and 1059.375 kilograms

1059.375 × $24.25 = 25 689.84

Answer : $25 689.84

Number 3

1.5 kilograms free for each kaing

18.75 - 1.5 = 17.25 kg

17.25 kg × 56.5 kaings × $18 247.21875

Answer : $18 247.22

3(x-5)=6 What is the answer?​

Answers

Step-by-step explanation:

3(x - 5) = 6

x - 5 = 2 (divide 3 on both sides)

x = 7 (add 5 on both sides)

The solution is x = 7.

3(x-5)=6

multiply 3 by x and -5

3x-15=6

add 15 on each side

it cancels out on the left nd on the right u get 21

so it would be

3x=21

divide by 3 on each side

X=7

Check:

3(7-5)=6

3(2)=6

6=6

how much is 6x x 3y? Plz help

Answers

Answer:

18xy

Step-by-step explanation:

Just multiply the coefficients and then put both the variables at the end.

two circles have a common chord of 16 in. Their centers are 21 units apart from each other. One of the circles has a radius of 17 in.

a)Make an accurate diagram of this situation.

b)Find a possible radius measurement for the second circle.

Answers

Answer:

Half of cord 24/2 = 12

Step-by-step explanation:

In the circle with r = 13 we have 13^2 = 12^2 + a^2 where a = the distance from the centre of this circle to the cord. Thus a = 5. Then the distance from the cord to the other circle centre is 21 - 5 = 16. In the second circle you can write r2^2 = 16^2 + 12^2. The r2 = sqrt (400) = 20

Willow has a recipe that asks her to use 3/4 cup of sugar. She is going to make 1/2 of the recipe, so she only needs 1/2 of that 3/4 cup. How many cups of sugar will she use?

Answers

Answer:

3/8ths cup

Step-by-step explanation:

take 3/4 and times that by 2 then you get 6/8th and then take half of the 6 out and get 3/8th

STICK EM UP! or I will have to shoot.

Answers

knock knock knock FBI open up

Another one he doesn't think I'm right on.

Answers

A. 8 is the answer

If the triangles are similar then their sides need to be in the same ratio. So, if 22 become 11, then the ratio is 2:1. So, for 16 it becomes 8.

Answer:

x = 8

Step-by-step explanation:

22/16 = 11/x

x = 11 . 16/22

x = 8

Mis Brown graded 84 papers. If the ratio of science papers to math papers is 2:10 how many math papers did she grade?​

Answers

Answer:

70

Step-by-step explanation:

2 + 10 = 12

84 ÷ 12 = 7

7 x 10 = 70

She graded 70 maths papers and 14 science papers.

The difference between a number and seven

Answers

Answer:

7-n

Step-by-step explanation: do you need an equation?

Among the following correct statement is

a) The number of ways of expressing 36 as a product of two facrors is 4

b) The sum of odd divisors of 18 is 13 c) 220 and 274 are amicable numbers

d) G.C.D of 100, 25 is 1​

Answers

Answer:

Step-by-step explanation:

a) False. There are three factor pairs for 36:

1×36

2×18

3×12

4×9

6×6

b) True.

18 = 2×3²

Odd divisors of 18: 1, 3, 9

1+3+9 = 13

c) False

100 = 2×5²

25 = 5²

Greatest common divisor = 25

When playing Yahtzee, I can roll 1 die and I need to roll a 2. What are my chances?

Answers

Answer:

Step-by-step explanation:

There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.

Answer:

A 60% chance

Step-by-step explanation:

which algebraic expression are equivalent to the phrase a number increased by 0.25 select all that apply

Answers

Answer:

number increased by ten. ... y = x + 0.25.

Step-by-step explanation:


I need help ASAP with both

Answers

Answer:

No for the first one, yes for the second.

Step-by-step explanation:

Plug in the given numbers and see if it works.

15(1) + 3(4) = 10

15 + 12 = 10.

27 ≠ 10

Since 27 does not equal 10, we can already see that solution (1,4) will not work for these equations.

Now for the second problem, do the same thing.

10 = 1 + 9.

This is true, but remember to check the second equation just to be sure.

10 = 4(1) + 6

10 = 4 + 6

This is also true, so it (1,10) is a solution for the second system of equations.

PLEASE ANSWER FAST

Evaluate ab^2-4 divided by 10 when a=4 b=6

Answers

Answer:

Step-by-step explanation:

((a)(b)^2 - 4)/10

((4)(6)^2 - 4)/10

((4)(36)-4))/10

(144-4)/10

140/10

14


AB = AD
Show that ABCD is a kite.
Give a reason for each stage of your working.

Answers

It’s a kite because angle B is equal to angle D (both 105) and it all adds up to 360 making it a quadrilateral.
I hope this helps

A certain drug doseage calls for 460mg per kg per day and is divided into four doses(1 every 6 hours). If a person weighs 229 pounds, how many milligrams of the drug should he receive every 6 hours?

Answers

Answer:

11943.31 mg

Step-by-step explanation:

460mg a day per kilo of weight, 4 doses for that total amount

460/4=115mg per kilo per dose

1 kilo = 2.205 pounds

115/2.205=52.15 approx mg per pound per dose

52.15*229=11943.31 approx, which is how much per dose

uwu

Two consecutive odd integers have a sum of 44. Find the integers.

Answers

Step-by-step explanation:

Answer

Let2odintegers

(2n+1),(2n+3)

→(2n+1)+(2n+3)=44

⇒4n+4=44

⇒4n=40

⇒n=10

then,integerare

2n+1=21

2n+3=23

A cash register contains only five dollar and ten dollar bills. It contains three times as many five dollar bills as ten dollar bills and the total amount of
money in the cash register is $950. How many ten dollar bills are in the cash register?

Answers

Answer:

38

Step-by-step explanation:

Let x be the number of ten dollar

Number of five dollar=3x

Total amount of money in the cash register=$950

We have to find the number of ten dollar bill in the cash register.

According to question

[tex]5\times (3x)+10x=950[/tex]

[tex]15x+10x=950[/tex]

[tex]25x=950[/tex]

[tex]x=\frac{950}{25}[/tex]

[tex]x=38[/tex]

Hence, number of  ten dollar bills  in the cash register=38

can you solve this equation?
-12 2/3 + 2 1/3

Answers

Answer:

-7.333

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Find the value of x.

Answers

Use the Pythagorean theorem:

x = SQRT(33^2 + 56^2)

x = sqrt(1089 + 3136)

x - sqrt(4225)

x = 65

Answer:

65

Step-by-step explanation:

56²+33²=X²

√(56²+33²)=X

X=65

Hi, I need help please!!!!!

Answers

Answer:

210 minutes

Step-by-step explanation:

First, we want to find out how many meters cubed of water there is, which is the volume.

The volume of this prism would be, the average of the two sides multiplied by 2 and 1.

1.5+0.6 = 2.1

2.1/2 = 1.05

1.05*2=2.1

2.1*1=2.1

2.1 meters is the volume but because it goes down by 30 cm, we have to convert 2.1 to cm.

2.1 * 100 = 210 cm.

Every 30 minutes, it goes down by 30 cm so:

210/30 = 7

210 minutes until it's empty

10 points Mrs. Daniels is going to visit her grandchildren in Mexico over her summer vacation. She will be gone for one month and five days. She leaves on May 29th. When does she return? A. June 29 B. July 4 C. June 4 D. July 29

Answers

Answer:

june 4

Step-by-step explanation:

this is the answer because after may its june and she said she will be gone for 5 days so she comes home on june 4

Answer:

JUNE 4

Step-by-step explanation:

Whoever solves gets brainlist
ameliaswan

Answers

Answer:

13 < y + x < 32

Step-by-step explanation:

x in (8,10) and y in (5,22) implies x + y in (8+5,10+22) = (13,32) so 13 < y + x < 32.

Answer:

14 < y+x < 31

Step-by-step explanation:

x = 9

y could be any number from 6 to 21

5+9 < y + x < 22+9

14 < y+x < 31

multiply (-6.1)(4.1)
I answered -25.01 and was told it was wrong. It asks to answer as an integer or decimal.

Answers

the answer is -25.01 maybe u accidentally put a space in ur answer
The answer is -25.01 and it is a integer and a decimal. There’s no way it’s not right.

Christine got a loan for $160 at 5% simple interest for 3 years. How much will she have to pay the bank after 3 years?​

Answers

Answer:

185.22

Step-by-step explanation:

The side of the base of a square pyramid is increasing at a rate of 666 meters per minute and the height of the pyramid is decreasing at a rate of 111 meter per minute. At a certain instant, the base's side is 333 meters and the height is 999 meters. What is the rate of change of the volume of the pyramid at that instant (in cubic meters per minute)

Answers

Answer:

[tex]105m^3/min[/tex]

Step-by-step explanation:

We are given that

Base side of square pyramid, a=3 m

Height of square pyramid, h=9m

[tex]\frac{da}{dt}=6m/min[/tex]

[tex]\frac{dh}{dt}=-1/min[/tex]

We have to find  the rate of change of the volume of the pyramid at that instant.

Volume of square pyramid, V=[tex]\frac{1}{3}a^2h[/tex]

Differentiate w.r.t t

[tex]\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})[/tex]

Substitute the values

[tex]\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)[/tex]

[tex]\frac{dV}{dt}=105m^3/min[/tex]

Hence, the rate of change of the volume of the pyramid at that instant=[tex]105m^3/min[/tex]

Is (3, 7) a solution to the equation y = 2x – 4? yes or no Submit​

Answers

Answer:

(3, 7) is not a solution.

Step-by-step explanation:

In this question, we have to find out if the point (3, 7) is a solution to the equation.

To find your answer, you would plug in the coordinate into the equation and solve.

Solve:

y = 2x - 4

Plug in coordinate.

7 = 2(3) - 4

7 = 6 - 4

7 ≠ 2

Since both sides are not equal to each other, this makes the statement false. Therefore, (3, 7) is not a solution.

Your answer would be (3, 7) is not a solution.

Please help, its due soon

Old Faithful is a geyser in Yellowstone National Park that erupts according to an arithmetic sequence. The eruptions generally happen in 46 minute intervals with a constant difference of 12 minutes. Suppose that you are in the park and you know the last eruption was at 12:22 p.m. That eruption was the 4th eruption of the day. About when can you expect the geyser to erupt again? Explain.

Answers

Answer:

1:10 AM

Step-by-step explanation:

The 4th eruption of the day as at 12:22 PM. And since the time between each eruption gets 12 minutes added, the next eruption is going to happen in 48 minutes, which is at 1:10 AM. After that eruption, the time will reset and the next eruption will happen at 1:22 AM

Marla and some friends are on a road trip. Marla was assigned to drive 3/7 of the total trip. She has already driven 3/5 assigned driving duty. How much of the total trip has Marla driven. The solution will go on the right side of the equation

Answers

Answer:

9/35

Step-by-step explanation:

Let x be the total trip distance.

Since Maria is assigned to drive 3/7 of the total trip, she is to drive 3x/7.

Now, since Maria has driven 3/5 of 3x/7, the amount of the total trip she has driven is 3/5 × 3x/7 = 9x/35.

So, Maria has driven 9/35 of the total trip.

Other Questions
A book is sitting on the dashboard of a car that is stopped at a traffic light as the car starts to move forward the book slides backward off the dashboard what does the book actually do Which plate is the South American plate? What is an example of hyperbole used in chapters 8-10 of the boy in the striped pajamas? AB = 6cm , AC = 12cm. Calculate the length of CD Give your answers to 3 significant figures 6(X+1) - 3 = 6X - 7need answer asap Sentence example for bravado PLS HELP!! The corresponding sides of triangles ABC and DEF are congruent. Which statements are always true for triangles ABC and DEF? Select all that apply. A.) There is a sequence of rigid motions that carries ABC to triangle DEF. B.) triangles ABC and DEF are congruent by side-side-side.C.) triangles ABC and DEF are both equilateral triangles by side-side-side. Italian dressing contains olive oil and vinegar, which will separate out from each other if left to sit. This makes the dressing a: whom did anitje marry and why? didn't she marry the burgomaster while he was a rich man? I need this answer Solve the system below.y = x2y = 2x + 15 we need careful study and investigation to make good choice of profession PLEASE HELP!!!Complete the sentence with the correct form of the verb in parenthesis.Nosotros _________ comprar las gafas de sol. (Querer) Avogadros number is useful for what? Which step should a person take against bullying and harassment? please answer asap i really need to know Find the area of a trapezium whose parallel sides are 34cm,20cm and the other sides are 13cm and 15cm. what economic impact did world war 1 have on Latin America? Fill the empty slots by dragging tiles from the left to show the next step for solving the equation. 14a=84 Which city is the furthest to the north?aWashington, DCbPhiladelphia, PAcBoston, MAdJamestown, VA can you help me im dum but I know how to give brainiest