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sattari [20]
1 year ago
15

The coordinates of the vertices of ΔDEF are D(2, 3), E(l, 1), and F(4, O).Find the coordinates for the image of ΔDEF after the t

ranslation (x, y) —i (x — 3, y — 2).Draw the preimage and image.
Mathematics
1 answer:
spayn [35]1 year ago
8 0

The translation <u>3 units to the right and 2 units down the plane</u> will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)

<h3>
Translation of coordinates</h3>

Translation is a transformation technique used to change the position of an object on an y-plane.

For instance translating a coordinate (x, y) into (x-3,y -2) means a shift of the image <u>3 units to the right and 2 units down the plane. In </u>order to get the corresponding coordinates, we will subtract 3 from the x-coordinates and 2 from the y-coordinates.

Given the coordinate of the triangle DEF as shown;

ΔDEF

D(2, 3),

E(l, 1), and;

F(4, O)

The translation <u>3 units to the right and 2 units down the plane</u> will result in the coordinates D' (-1, 1),E'(-2, -1) and F' (1, -2)

Learn more on translation here: brainly.com/question/12861087

#SPJ1

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Answer:

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Step-by-step explanation:

4 0
4 years ago
Amy reached into a bag, recorded the color of the tile she picked, returned the tile and drew again. These are the tiles she has
Vedmedyk [2.9K]

Answer:

(a) P(next ball with blue) =  \frac{3}{10}       (b)  P(Not to be red) = 1-\frac{2}{5} =\frac{3}{5}

(c)  P(drawing 70 times yellow ball) = \frac{1}{10} \times 70 = 7.

Step-by-step explanation:

Given that,

The total outcomes of the color of tile are :-

Red , Red, Blue, Yellow, Blue, Red, Green, Red, Blue, Green.

From the Question,

Total number of outcomes = 10

(a) What is the probability that her next draw will be blue ?

        Red = 4,

        Blue = 3,

        Green = 2,

        Yellow = 1.

   P(next ball with blue) =  \frac{3}{10}.

(b) What is the probability that her next draw will NOT be red?

    P(Red ball) =  \frac{4}{10} = \frac{2}{5}

But we have to find

   P(Not to be red) = 1-\frac{2}{5} =\frac{3}{5}

(c) If Amy draws 70 more times with the same tiles from the question above, what probability would you expect a yellow?

  P(Yellow ball) =  \frac{1}{10}

drawing it 70 times we get the probability

   P(drawing 70 times yellow ball) = \frac{1}{10} \times 70 = 7.

5 0
3 years ago
What’s the domain and range?<br><br> An airplane travels at 565 mph.
viktelen [127]

Answer:

<u>Domain:</u>

The domain of this can be any value between 0 to 565 miles per hour

<u>Range:</u>

The reasonable range can be the distance traveled which can be from 0 to 13,560 miles (no plane travel is longer than 24 hours, we assume).

Step-by-step explanation:

Domain is the input, set of x values for the function.

Range is the output, set of y values for the function.

This isn't a function essentially, but it is given that an Airplane travels at 565 miles per hour.

<em>We can say that the domain will be the speed of the airplane and the range would be the distance it travels.</em>

<em />

<u>Domain:</u>

The domain of this can be any value between 0 to 565 miles per hour

<u>Range:</u>

The reasonable range can be the distance traveled which can be from 0 to (565*24=13,560 miles) 13,560 miles (no plane travel is longer than 24 hours, we assume).

4 0
3 years ago
Given a sample size n, how will the distribution of the sample mean behave?
Keith_Richards [23]
Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.

Explanation:
1. As n increases, the sample mean approaches the population mean
   (The Law of Large numbers)
2. The standard error of the sample is
     σ/√n
     where σ = population standard deviation.
     As n increases, the standard error decreases, which means that the error    
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5 0
3 years ago
How much money will there be in an account at the end of 10 years if $4000 is deposited at 6% compounded quarterly
Elena L [17]

Answer:

$7,256.07

Step-by-step explanation:

A = p(1+r/n)^nt

A = 4000(1+.06/4)^(10*4)

7 0
3 years ago
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