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 to do i need help solve

Answers

Answer:

51 cm^2

Step-by-step explanation:

We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.

We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2

Draw an line separating the two shapes.

Find the area of one: 9cm x 4cm= 36cm^2

Find the area of the second shape: 3cm x 5cm= 15cm ^2

Add the two answers together to get: 51cm ^2.

Have a great day!

PLEASE HELPP!!

So frustrated does evaluate mean to find the value? So confused.

Answers

Answer:

yes it does

a. 27

b. -32

Step-by-step explanation:

a. 3 times 3 times 3 = 27

b. -2 times -2 times -2 times -2 times -2= -32

hope this helps!!

The second one equals -32

How do I solve 10x = 100

Answers

Answer:

x = 10 since 10 x 10 = 100

Step-by-step explanation:

You are checking a bag at the airport. Your bag weighs 16 pounds plus 2 more pounds for each souvenir you add. How many souvenirs can you add if bags can weigh no more than 50 pounds?

Answers

Answer:

16

Step-by-step explanation:

50 - 16 = 34

34 / 2 = 17

34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.

Quick check:

34 + 16 = 50

Hope this helps!


Answer:
Need help with this plz

Answers

Answer:

(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)

                          10x+70=180

                                 10x=110

                                     x=11

(b) ∠C = 2x-10

           = 2(11)-10

           =  12°

Someone answer right por favor

Answers

The answer is 64!

hope this helps youu!!

Answer:

64

Step-by-step explanation:

Answer: 64. 16^6 = 16,777,216 and 32^6 is 1,073,741,824. 1,073,741,824 divided by 16,777,216 is 64

A ratio of two numbers a/b, where b is no zero

Answers

[tex]{ \large{ \red{{\green{✮}} \: \: \sf{A \: \: number \: \: in \: \: the \: \: form \: \: of \: \:{\pink{ \frac{a}{b} \: \: where \: \: b≠0 }}\: \:{\orange{ is \: \: called \: \: a }}\: \: { \blue{ \underline{ \underline{ \tt{Rational \: \: Number}.}}}}}}}}[/tex]

4. Which of these types of angles have the same measure
after being rotated, reflected, or translated in a coordinate
plane? Select all that apply.
a. Acute angles
b. Right angles
c.Obtuse angles

Answers

Right angles all credit to the first person

Write the equations of these circles.
a) Centre origin, radius 3/2
b) Centre origin, radius 0.5
c) Centre origin, radius root 3​

Answers

I attached an image cause it’s easier to explain the answers. I just want to add that if the centre of a circle is the origin it means that it has the coordinates (0,0).
Hope this helps

The equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

The center of the circle is (0, 0) or the origin.

The radius of the circles is given.

As we know, the standard equation for the circle is:

(x - h)² + (y - k)² = r²

Here (h, k) is the center and r is the radius of the circle.

a) Centre origin, radius 3/2

Plug h = 0, k = 0, and r = 3/2

x² + y² = (3/2)²

x² + y² = 9/4

Similarly,

b) Centre origin, radius 0.5

x² + y² = 0.25

c) Centre origin, radius √3

x² + y² = 3

Thus, the equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

do's and donts in handling measuring tools

Answers

Here’s your answer mate :

Answer:

I need answer too

Pleaseee help us

Lily charges $60 for 5 tutoring sessions. What is the cost PER session?

Answers

$60 divided by 5 = $12

$12 per session.

Pls mark me brainliest!

Answer:$12 per session

Step-by-step explanation: divide 60 by 5 you get 12.

Jenny sold 17 less than 3 times the number of quilts Laura sold. Jenny sold
4 quilts. Select whether each statement is true or false. ZEE.4. ZEE 4a

Answers

Answer:

the statement would be false.

Step-by-step explanation:

Jenny sold 17 less than 3 times lauras 4 quilts. So that would make Laura have 12 and 12<17.

You have a map of Southern California. If the distance between
Mrs. Clough's house and Badger Springs middle school on the map
is 3 inches, and the scale is 2 inches represents 12 miles, how far is
the actual distance from Mrs. Clough's house to school.

Answers

9514 1404 393

Answer:

  18 miles

Step-by-step explanation:

The map distance and ground distance are proportional.

  (distance to school)/(3 in) = (12 miles)/(2 in)

Multiplying by 3 in gives ...

  distance to school = (12 miles)(3/2) = 18 miles

Find slope of the line if it is defined through (5,10) and (5,-6)

Answers

Answer:

Undefined

Step-by-step explanation:

The slope is undefined as both points have the same x value.

Answer:

Undefined

Step-by-step explanation:

                        5 , 10

5 +0 = 5     <--  5 , -6     <-- 10 - 16 = -6

m = [tex]\frac{y}{x}[/tex]

m = [tex]\frac{-16}{0}[/tex]   <-- Doesn't sense. So the slope will be undefined

how many solutions does the equation 7x-4=7x+15​

Answers

Answer:

No solution

Step-by-step explanation:

7x-4=7x+15​

-4 = 15 = not true

Answer:

0 because is you -7x from both sides you get -4=15 which doesn't work.

Step-by-step explanation:

I need help. Please check this problem for accuracy I turn it in tomorrow.​

Answers

Answer:

you are 100% correct (^_^)

Step-by-step explanation:

solve the inequality. Graph the solution on a number line. 7<_2

Answers

i have no idea but i really need help on this too33458584837

Simplify 7-(3x+5y)+6(2x-3y)+8y

Answers

Answer:

Step-by-step explanation:

First get rid of the parentheses. Distribute the - sign and the +6 to each one.

[tex]7-3x-5y+12x-18y+8y\\7+9x-5y-18y+8y\\7+9x-15y[/tex]

Solve and graph the inequality |4 – v| < 5.
a. Write the inequality as two inequalities without absolute value.
b. Solve the inequality and write the solution set.
c. Graph the solution on a number line.

50 points !!!!!

Answers

Answer:

-1 < v < 9

Step-by-step explanation:

Given inequality

|4 - v| < 5

a. The two inequalities:

1.    4 - v < 5

v > 4 - 5v > -1

2.   4 - v > -5

v < 4 - (-5)v < 9

b. Solution is the combination of the above two:

-1 < v < 9

c. The graph is attached

Tom had 3 times as many pencils than Max. Tom then gave 24 pencils to Max and they now had the same amount of pencils. How many pencils did they have altogether?​

Answers

Answer:

24×3=72

Sooo the answer 72✨

write the first six terms of the geometric sequence with the first term 6 and common ratio 1/3

Answers

Answer:

6, 2, 2/3, 2/9, 2/27, 2/81

Step-by-step explanation:

The nth term of a geometric progression is expressed as;

Tn  = ar^n-1

a is the first term

n is the number of terms

r is the common ratio

Given

a = 6

r = 1/3

when n = 1

T1 = 6(1/3)^1-1

T1 = 6(1/3)^0

T1 = 6

when n = 2

T2= 6(1/3)^2-1

T2= 6(1/3)^1

T2 = 2

when n = 3

T3 = 6(1/3)^3-1

T3= 6(1/3)^2

T3= 6 * 1/9

T3 = 2/3

when n = 4

T4 = 6(1/3)^4-1

T4= 6(1/3)^3

T4= 6 * 1/27

T4 = 2/9

when n = 5

T5 = 6(1/3)^5-1

T5= 6(1/3)^4

T5= 6 * 1/81

T5 = 2/27

when n = 6

T6 = 6(1/3)^6-1

T6= 6(1/3)^5

T6= 6 * 1/243

T6 = 2/81

Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81

Pls help meeee :))))))

Answers

Answer:

A. 1.80

Step-by-step explanation:

Answer:

A. 1.80

Explanation:

According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6

Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001.
a.
y = 67.577 sine (0.500 x minus 1.959) + 20.077
b.
y = 20.077 sine (0.500 x minus 1.959) + 67.577
c.
y = 20.077 sine (1.959 x minus 0.500) + 67.577
d.
y = 20.077 sine (67.577 x minus 1.959) + 0.500

Answers

Answer:

b. y = 20.077 sin(0.500x - 1.959) + 67.577

Step-by-step explanation:

The easiest way to solve

1. Plot the points for one year2. Add the functions to same graph and compare

This gave us the option B as the best fit line

See the graph below

Step-by-step explanation:

the dude above me is right

A light bulb consumes 1800 watt-hour per day. How long does it take to consume 8550 watt-hours

Answers

Answer:

4 hours and 45 minutes

Step-by-step explanation:

8550 ÷ 1800 equals 4.75 which should translate into 4 hours and 45 minutes

Let f be the function given by f(x) = x +
Vx+1
X - 1
Find and simplify f(5).

Answers

Answer:

A)4

Step-by-step explanation:

Since (3+1)^1/2=2

and 3-1=2

2/2=1

3+1=4

how many inches would represent 315 miles​

Answers

Answer: 19,958,400

Step-by-step explanation: Multiply the length value by 63360.

315 x 63,360 = 19,958,400

What is the equation of the line that is parallel to y = 3x - 1 and goes through the point (0, 9)?

Answers

Answer:

Step-by-step explanation:

y - 9 = 3(x - 0)

y - 9 = 3x - 0

y = 3x + 9

According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 30 adolescents and find the proportion in our sample who are obese. We record this value. Now, repeat this many more times so that we have a great many sample proportions drawn from this population. Suppose we make a dotplot of the sample proportions. Would the dotplot be a visualization of the population distribution, the distribution of a sample, or the sampling distribution of proportions?

Answers

Answer:

the sampling distribution of proportions

Step-by-step explanation:

A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions

. What is the value of x in the diagram below?
(1 point)
36
20
Х
Ox= 12v5
Ox=12/14
Ox=4170
O not enough information

Answers

Answer:

C. x = 4√70

Step-by-step explanation:

To find x, we would apply the leg rule.

Leg rule is:

Hypotenuse/leg = leg/part

Hypotenuse = 36 + 20 = 56

Leg = x

Part = 20

Plug in the values into the equation

Thus, we would have:

56/x = x/20

Cross multiply

x*x = 56*20

x² = 1,120

x = √1,120

x = √(16*70)

x = 4√70

The correct answer is c.

Ramon was plotting the coordinates of a polygon. He has plotted the coordinates of the polygon shown below. What is the area of Ramon's

polygon?

1. Point A (2.5)

2. Point B (8,5)

3. Point C (8,9)

4. Point D (5,7)

5. Point E (2.9)

V

E

C

9

8

D

7

6

ke

5

A

B

4

3

2

1

5

6

7

8

9.

Answers

Answer:

Area of polygon = 18

Step-by-step explanation:

the given points are :

Point A (2.5)

Point B (8,5)

Point C (8,9)

Point D (5,7)

Point E (2,9)

Firstly , create the array

A     2       5

B     8       5

C     8       9

D     5       7

E      2      9

A      2      5

Now,

Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.

⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)

Now,

Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result

⇒ 40 + 40 + 45 + 14 + 18 = 157   ........(2)

Now, Subtract equation (2) from equation (1), we get

193 - 157 = 36

Now, Divide by 2 to get the area of polygon

∴ we get

Area of polygon = 18

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