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2 years ago

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If one three-digit number (0 cannot be a left digit) is chosen at random from all those that can be made from the following set

of digits, find the probability that the one chosen is not a multiple of 5.
(0, 1, 2, 3, 4,5)

1 answer:

expeople1 [14]2 years ago

3 0

Answer:

5/25

Step-by-step explanation:

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Use scalar multiplication to determine the coordinates of the vertices of the dilated figure. Then graph the pre-image and the i

Luba_88 [7]

Answer:

The coordinates of the vertices of the dilated figure are:

A' is (-2 , 4), B' is (4 , 8), C' is (4 , -2), D' is (-2 , -6) ⇒ the answer is (d)

Step-by-step explanation:

* Lets study the matrix of the dilation

- If we dilate any point by scale factor k we multiply the

coordinates of the point by k

- The matrix of the dilation by scale factor k is

$\left[\begin{array}{ccc}k&0\\0&k\end{array}\right]$

* Now lets solve the problem

- We will multiply the matrix of dilation by the matrix of the

vertices of the quadrilateral

- The dimension of the matrix of the dilation is 2×2 and the

dimension of the matrix of the vertices of the quadrilateral

is 2×4 then the dimension of the matrix of the image of the

quadrilateral is 2×4

∵ The scale factor is 2

∴ The matrix of dilation is $\left[\begin{array}{cc}2&0\\0&2\end{array}\right]$

∵ The matrix of the vertices of the quadrilateral is

$\left[\begin{array}{cccc}-1&2&2&-1\\2&4&-1&-3\end{array}\right]$

∴ The image of the quadrilateral is :

$\left[\begin{array}{cc}2&0\\0&2\end{array}\right]\left[\begin{array}{cccc}-1&2&2&-1\\2&4&-1&-3\end{array}\right]=$

$\left[\begin{array}{cccc}(2)(-1)+(0)(2)&(2)(2)+(0)(4)&(2)(2)+(0)(-1)&(2)(-1)+(0)(-3)\\(0)(-1)+(2)(2)&(0)(2)+(2)(4)&(0)(2)+(2)(-1)&(0)(-1)+(2)(-3)\end{array}\right]=$

$\left[\begin{array}{cccc}-2&4&4&-2\\4&8&-2&-6\end{array}\right]$

∴ The image of point A' is (-2 , 4)

∴ The image of point B' is (4 , 8)

∴ The image of point C' is (4 , -2)

∴ The image of point D' is (-2 , -6)

* The right answer is figure (d)

3 0

3 years ago

One cell phone plan charges 20$ per month plus$0.15 per minute used.

maw [93]

So for the first one... Let's just use x for months and m for minutes.

(20m)+(.15m)

20 times the number of months plus .15 times the number of minutes

Same for the next one

(35x)+ (.10m)

35 times the number of months +.10 times the minutes.

7 0

3 years ago

Read 2 more answers

State the negation of the following statement: The sun is not shining.

scoundrel [369]

Not shining is the negation

7 0

3 years ago

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Which of the statements using operations on rational or irrational numbers always results in a rational number?

-BARSIC- [3]

<h3>Hm a irrational number is a number like this:</h3>

$1.999999\inf$

So adding a rational number, like 2, it would be irrational still:

$2+1.999999\inf=3.999999\inf$

That being said, answer C is wrong

Now, what is 2/2? Or 4/1? Whole numbers are one of the 3 types of rational numbers.

$2\ /\ 2=1\\\\4\ / 1=\ 4$

Thus the answer appears to be D

Now lets use the process of elimination to double check the answer:

The wording of your question is what will help us out here:

Which of the statements using operations on rational or irrational numbers <u>always results </u>in a <u>rational number?</u>

Because of that, any of the choices that involve a irrational number can result with another irrational number like so:

$a)\ 1.999\inf+ 1.999\inf=3.888\inf\\\\b)\ 2.999\inf / 1.999\inf= 1.50025\inf$

And there you go, the only answer that hasn't been proven wrong is answer D.

<h3>Now, if you like this answer and would like to see more please make sure to Like, Comment, and Rate this answer! Also, be sure to send me a friend request, I'm always up for a Challenge!</h3><h2>Thanks!</h2>

8 0

3 years ago

Terry puts 14 comic books on each shelf of a bookcase. The expression 14s can be used to find the number of books on the shelves

PSYCHO15rus [73]

Answer:

dump-the-books-out

Step-by-step explanation:

i-think

3 0

3 years ago