I need help with math

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

2 years ago

Identify the phase shift of each function. Describe each phase shift ( use a phrase like 3 units to the left):

Rus_ich [418]

Answer:

The phase shift:

1 unit to the right and 1 unit up

Step-by-step explanation:

∵ y = 1 + sin2(x - 1)

∴ y = 1 + sin(2x - 2)

∵ y = Sin(Bx - C) + D

∵ The vertical shift is D

∴ The horizontal shift is -C/B

∴ The vertical shift is 1 unit up

∴ The horizontal shift is --2/2 = 1 ⇒ 1 unite to the right

5 0

3 years ago

Read 2 more answers

2/7 divided by 7/6 brainlyest on the line

raketka [301]

12/49! hope this helps!

6 0

3 years ago

Which best explains why the rotation represents an

Alinara [238K]

The best explanation for why the rotation is isometric is "The rectangle did not change shape or size". Hence the second option is the right choice.

There are four main categories of transformations:

Translation (figure slides in any direction)
Reflection (figure flips over a line)
Rotation (figure turns about a fixed point)
Dilation (the figure is enlarged or reduced)

A stiff transformation known as an isometry maintains perimeter and area while also preserving length and angle measurements. In other words, there is congruence between the preimage and the image. Translations, reflections, and rotations are therefore isometric, but dilations are not since the image and preimage are comparable, rather than congruent figures.

The transformation in the question will be isometric when the preimage of the rectangle before 360° rotation, will be congruent to the image after the rotation.

The congruency is best described by the option "The rectangle did not change shape or size", as that is the basis of congruency.

Thus, the best explanation for why the rotation is isometric is "The rectangle did not change shape or size". Hence the second option is the right choice.

Learn more about isometric transformations at

brainly.com/question/24095450

#SPJ4

The provided question is incomplete. For the complete question, refer to the attachment.

4 0

2 years ago

Linear inequalities What is the solution to: -1/3 a + 4 ≤ 0

kati45 [8]

Step-by-step explanation:

-1/3 a + 4 ≤ 0

3*(-1/3a) + 4*3 ≤ 0*3

-a + 12 ≤ 0

12 ≤ a

12 ⩾a

a⩾12

8 0

2 years ago

I need help with math​

I need help with math