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3 years ago

Find the value of x in this polygon.

Mathematics

2 answers:

Sati [7]3 years ago

8 0

Answer:

Step-by-step explanation:

ladessa [460]3 years ago

3 0

I think the answer to your question is 51

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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

riadik2000 [5.3K]

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

5 0

3 years ago

Define the axis of symmetry, vertex, focus and directrix for

Papessa [141]

Answer:

see attached

Step-by-step explanation:

The equation is in the form ...

4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance

Comparing this to your equation, we see ...

p = 4, (h, k) = (3, 4)

p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...

vertex: (3, 4)

axis of symmetry: x = 3

focus: (3, 8) . . . . . 4 units up from vertex

directrix: y = 0 . . . horizontal line 4 units down from vertex

8 0

2 years ago

Each student ticket for an art museum costs $12.50. the total cost for student tickets, t, varies directly as the number of tick

Troyanec [42]

An equation that models the proportional relationship between t and s.

t = 12.5s

<h3>What is proportional relationship?</h3>

Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them. This parameter is referred to as the "constant of proportionality."

<h3>According to the given information :</h3>

1) Ticket for an art museum costs $12.50

2) In other words, the price will increase by $12.50 for each ticket purchased (or tickets).

In other words, the total expense is always 12.5 times the quantity of tickets sold.

3) This indicates that we can create this ---> t = 12.5s.

An equation that models the proportional relationship between t and s.

t = 12.5s

To know more about proportional relationship visit:

brainly.com/question/12022244

#SPJ4

6 0

2 years ago

Plz help me so I don’t fail

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

below 0 is negative

so -15

7 0

3 years ago

Read 2 more answers

Item 16 An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people b

nignag [31]

Answer:

3:16 P.M.
5:22 P.M.

Step-by-step explanation:

The two dump intervals have a greatest common factor (GCF) of 3, so their least common multiple (LCM) is ...

(18)(21)/3 = 126 . . . . minutes

This period is 2 hours 6 minutes. The last time both dumped was 1:10, so the next time both will dump is ...

1:10 +2:06 = 3:16 . . . P.M.

and the next time after that is ...

3:16 +2:06 = 5:22 . . . P.M.

4 0

3 years ago