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3 years ago

Rigid transformations how to know when a figure is dilation transformation, rotation and dilation?

Mathematics

1 answer:

Naddika [18.5K]3 years ago

7 0

Answer:

the shape could be congruent or similar to its preimage. There are basically four types of transformations: Rotation; Translation; Dilation; Reflection; Definition of Transformations. Transformations could be rigid (where the shape or size of preimage is not changed) and non-rigid (where the size is changed but the shape remains the same).

Step-by-step explanation:

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Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The m

marshall27 [118]

Answer:

1. 0.0000454

2. 0.01034

3. 0.0821

4. 0.918

Step-by-step explanation:

Let X be the random variable denoting the number of passengers arriving in a minute. Since the mean arrival rate is given to be 10,

$X \sim Poi(\lambda = 10)$

1. Requires us to compute

$P(X = 0) = e^{-10} \frac{10^0}{0!} = 0.0000454$

2. We need to compute $P(X \leq 3) = P(X =0) + P(X =1) + P(X =2) + P(X =3)$

$P(X =1) = e^{-10} \frac{10^1}{1!} = 0.000454$

$P(X =2) = e^{-10} \frac{10^2}{2!} = 0.00227$

$P(X =3) = e^{-10} \frac{10^3}{3!} = 0.00757$

$P(X \leq 3) =0.0000454+ 0.000454 + 0.00227 + 0.00757 = 0.01034$

3. The expected no. of arrivals in a 15 second period is = $10 \times \frac{1}{4} = 2.5$ . So if Y be the random variable denoting number of passengers arriving in 15 seconds,

$Y \sim Poi(2.5)$

$P(Y=0) = e^{-2.5} \frac{2.5^0}{0!} = 0.0821$

4. Here we use the fact that Y can take values $0,1, \dotsc$ . So, the event that "Y is either 0 or $\geq$ 1" is a sure event ( i.e it has probability 1 ).

$P(Y=0) + P(Y \geq 1) = 1 \implies P(Y \geq 1) = 1 -P(Y=0) = 1 - 0.0821 = 0.918$

3 0

3 years ago

A sphere has a radius of 5 inches. What is its volume?

jarptica [38.1K]

Given ↓

Radius of sphere = 5 in

The volume of the sphere

<h3>Calculations ↓</h3>

$\blue{\boxed{\mathsf{V=\frac{4}{3} \pi r^3}}$

↑ formula for volume of a sphere

r = 5 in

Plug in the value of r and solve :

$\blue{\boxed{\mathsf{V=\frac{4}{3}\pi (5)^3}}}$

Simplify as follows :

$\blue{\boxed{\mathsf{V=\frac{4}{3}\pi *125} }}$

$\blue{\boxed{V=\frac{4}{3} *392.7}}$

Final Step :

$\blue{\boxed{\pmb{V=523.6\:in\:^3}}$

$\footnotesize\text{hope\:helpful}$

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2 years ago

The chess club has 50 members. they want to raise $680 for a trip to a competition. The school will give $130. how much must eac

Whitepunk [10]

11 dollars all you have to do is take 550 and divide by 50 and you get 11 please give me brainlyeist

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4 years ago

If n represents the amount of songs stored on a MP3 player, analyze the meaning of the expressions n + 7, n - 2, 4n, and n/2

Alex17521 [72]

N+7 - 7 more songs added
n-2 - 2 songs deleted (subtracted)
4n - 4 times more songs than before
n/2 - the number of songs cut in half (divided by 2)

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4 years ago

A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the

Flauer [41]

Answer:

Height is 135 ft

Step-by-step explanation:

Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.

Then we can use the Pythagorean theorem to solve for the height (h):

h^2 + (h - 51)^2 = (h + 24)^2

h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576

grouping all terms on the left of the equal sign, we get:

h^2 -150 h + 2025 = 0

This gives two possible answers:

h = 135

and

h = 15

We opt for h = 135, because the other solution will render a negative leg for the triangle.

7 0

3 years ago

Rigid transformations how to know when a figure is dilation transformation, rotation and dilation?​

Rigid transformations how to know when a figure is dilation transformation, rotation and dilation?