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4 years ago

8

If triangle XYZ is reflected across the line y = 1 to create triangle X'Y'Z', what is the ordered pair of X'?

1 answer:

GREYUIT [131]4 years ago

3 0

We need to know what the coordinates of 'X' were BEFORE the reflection.

The only information you've given us so far is the reflection line
and the names of the triangle's vertices.

The point (1, -3) is 4 units below the line y=1.
If you flop it across that line, it winds up 4 units above y=1.
Then it's located at
(1, 5) <===

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VMariaS [17]

Using the concept of probability and the arrangements formula, there is a

0.002 = 0.2% probability that the first 8 people in line are teachers.

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A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

$A_n = n!$

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The desired outcomes are:

First 8 people are teachers, in <u>8! possible ways.</u>
Last 4 are students, in <u>4! possible ways.</u>

Thus, $D = 8! \times 4!$

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For the total outcomes, <u>number of arrangements of 12 people</u>, thus:

$T = 12!$

The probability is:

$p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002$

0.002 = 0.2% probability that the first 8 people in line are teachers.

A similar problem is given at brainly.com/question/24650047

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3 years ago

The formula P equals F over A, where P = pressure, F = force, and A = area, is used to calculate pressure. Solve this formula fo

klemol [59]

Answer:

F=PA Hope this helps:)

Step-by-step explanation:

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3 years ago

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the system 5y=8x + 8 and 7y = -8x + 16 is graphed as shown which choice of the point is the point of intersection ?

xenn [34]

Answer:

c= (1/4,2)

Step-by-step explanation:

i did the test and it came out correct i promise !

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3 years ago

If -3 is a lower bound for the real zeros of f(x), then -2 is also a lower bound.

vladimir1956 [14]

The statement is false, because -2 is larger than -3.

<h3>Is the statement true?</h3>

We know that -3 is a lower bound for the real zeros of f(x).

So, if we define k as the smallest real zero of f(x), we have:

-3 < k.

Then we can take, for example, k = -2.5

That is an allowed value for the real zero.

In that case, -2 is not a lower bound, because is false that:

-2 < k = -2.5

Then if -3 is a lower bound for the real zeros of f(x), we can't assume that -2 is also a lower bound (because -2 is larger than -3).

If you want to learn more about lower bounds:

brainly.com/question/15991714

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2 years ago

Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before

Rudiy27

Answer:

5 students out of each of the 4 homeroom classes (C)

Step-by-step explanation:

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