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fiasKO [112]
3 years ago
7

A standard six-sided die is rolled. what is the probability of rolling a number equal to 3? express your answer as a simplified

fraction or a decimal rounded to four decimal places
Mathematics
1 answer:
alexandr402 [8]3 years ago
4 0

there is 1 number 3 on a 6 sided die

 so the probability or rolling a 3 is 1/6

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Determine whether each ordered pair is a solution to the inequality x+y>−2.
sweet [91]
<h3>3 Answers:</h3>
  • Choice A.  (10, -1)
  • Choice B.  (-8, 9)
  • Choice D.  (6, -3)

===================================

Explanation:

If we plug the coordinates of point A into the inequality, then we get

x+y > -2

10 + (-1) > -2

9 > -2

That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers

Choices B and D are also answers for similar reasons.

Something like choice C is not a solution because

x+y > -2

-1+(-9) > -2

-10 > -2

which is false

You should find that choice E is false as well.

---------------------

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.

The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

4 0
3 years ago
If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x minus 2, y + 2), what will be the coordi
lara31 [8.8K]

Answer:

Coordinates of A prime will be (-4,0).

Step-by-step explanation:

Given:

ABC is a triangle on a grid with its coordinates in (x,y).

The coordinates are as follows:

A = (-2,-2)

B = (-2,-4)

C = (2,-4)

According to the question.

The points are translated by (x-2,y+2) rule.

We have to find A prime i.e A' the coordinate of A after it is translated.

In translation we move the coordinates without rotating and resizing.

So

Point A after translation will be called A'.

⇒ A = (-2,-2)

Subtracting 2 with the 'x' value and adding 2 with the 'y' value coordinate.

⇒ A' = (-2-2,-2+2)

⇒ A '= (-4,0)

So the value of A prime after translating it by (x-2,y+2) is (-4,0).

7 0
3 years ago
Read 2 more answers
8+4x<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class="latex-for
Contact [7]

Answer:

4(2+x^2)

ffvhjgcvvbvvggg

8 0
2 years ago
teacher gives 5 students a multiple choice test, in which each problem is worth 1 point and there is no penalty with negative po
mamaluj [8]

The mean is the average value of a given set of numbers, and the median is the number in the middle of a set of numbers arranged in increasing order

The correct values as response to the questions are;

The minimum possible <em>top score</em> is <u>21</u>

The maximum possible <em>top score</em> is <u>32</u>

The <em>minimum </em>of the possible <em>standard deviation</em> is approximately <u>1.26</u>

The <em>maximum </em>of the possible <em>standard deviation</em> is approximately <u>11.7</u>

<u />

The reason the above values are correct are as follows:

<u />

The given parameters are;

The number of students that take the test, n = 5

The amount of points for each problem = 1 point

The median score = 9

The mean Score = 10

Required:

The minimum possible score;

The maximum possible top score

The minimum of the possible standard deviations

The maximum of the possible standard deviations

Solution:

Given that there is a score (the median) which is 9, we have;

The scores obtainable in the test is Scores ≥ 9

Therefore, for a score of 10, we have;

The minimum total points obtainable = Mean × Number of students

Therefore;

Total minimum total points obtainable by the 5 students = 5 × 10 = 50

  • The minimum possible top score

By arrangement, with the median at the middle, the minimum possible top score is given as follows;

0, 0, 9, 20, 21

Therefore, the minimum possible top score is <u>21</u>

<u />

  • The maximum possible top score

The maximum possible top score is similarly given by arrangement of the numbers as follows'

0, 0, 9, 9, 32

The maximum possible top score is <u>32</u>

<u />

  • The minimum standard deviation

By arrangement and selection, the minimum standard deviation is given as follows;

The minimum of the possible standard deviations of (9, 9, 9, 11, 12) ≈ <u>1.26</u>

  • The maximum of the possible standard deviation

The maximum of the possible standard deviation is given as follows;

The maximum of the possible standard deviation of (0, 0, 9, 9, 32) ≈ <u>11.7</u>

<u />

Learn more about mean and median here:

brainly.com/question/17012793

8 0
2 years ago
There are four students in each small reading group there are 24 students in all.
MrRissso [65]

There are 6 reading groups

24 students ÷ 4 students each group= 6 reading groups

6 0
3 years ago
Read 2 more answers
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