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lesya [120]
2 years ago
13

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 ho

mes 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?
Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
5 0

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 ^8C_3 possible ways for the set of keys.

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

P(select correct key) = P(S)

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

P(S) = \dfrac{21}{56}

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

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Sedbober [7]

put in an positive number for x and check

2 - 5 = -3

5 - 2  = 3

- 2 + 5 = 3

5 + (-2) = 2

so the only different one is the first

4 0
3 years ago
NEED HELP ASAP!!!!!!
Bad White [126]

Answer:

1. <

2. 23/24

3. 487 3/4

4. 29,725

5.        Add 2                  Add 4

15            17                       19

16            19                       23

17            21                       27

18            23                       31

19            25                        35

20           27                        39

Step-by-step explanation:

1. 11,437 is less than 11,473. 3, the tens place, is less than 7

2. Find the LCD of 5/8 and 1/3. It is 24, 5/8 * 3/3 = 15/24, 1/3 * 8/8 = 8/24

15/24 + 8/24 = 23/24

3. Divide 3902 by 8, 3902/8 = 487.75, As a mixed number, that is 487 3/4

4. 725 * 41 = 29,725

5. Add 2 to 17, 19, 21, 23, and 25. Add 4 to 19, 23, 27, 31, 35, and 39

6. Put each point on the graph, the horizontal line is first, and the vertical line is second:

Horizontal:                                                         Vertical:

17                                    and                               19

19                                     and                             23

21                                       and                           27

23                                       and                           31

25                                       and                           35

27                                       and                            39

4 0
2 years ago
3. Max wants to spend at most $89 on his friend's birthday gifts. He already bought her a $34 video
wariber [46]

Answer:

Step-by-step explanation:

Answer:

The Inequality representing money she can still spend on her friend birthday gift is .

Jordan can still spend at most $30 on her friends birthday gift.

Step-by-step explanation:

Given:

Total money need to spend at most = $45

Money spent on Yoga ball = $15

We need to find how much money she can still spend on her friend birthday gift.

Solution:

Let the money she can still spend on her friend birthday gift be 'x'.

So we can say that;

Money spent on Yoga ball plus money she can still spend on her friend birthday gift should be less than or equal to Total money need to spend.

framing in equation form we get;

The Inequality representing money she can still spend on her friend birthday gift is .

On solving the the above Inequality we get;

we will subtract both side by 15 using subtraction property of Inequality.

Hence Jordan can still spend at most $30 on her friends birthday gift.

7 0
3 years ago
find five solutions of the equation y=20x. select integers for values for x starting with -2 and ending with 2
Nataly_w [17]

Answer:

-440, -4440, -44440, -444440, -4444440

Step-by-step explanation:

First, let's find values for x which start is a -2 and end with a 2.

-22

-222

-2222

-22222

-222222

Now we can find the y value by multiplying each term by 20.

-22 --> -440

-222 --> -4440

-2222 --> -44440

-22222 --> -444440

-222222 --> -4444440

7 0
3 years ago
1. Use a protractor to try to draw each triangle. Which of these three triangles is impossible to
Rus_ich [418]

answer:

C a triangle with one measures 90° and another angle measures 100°

4 0
2 years ago
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