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BabaBlast [244]
3 years ago
11

You roll a fair six-sided die twice. Find the probability of rolling a 5 the first time and a number greater than 2 the second t

ime.
Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

Answer:

The probability is 1/9

Step-by-step explanation:

The probability of rolling a 5 the first time is 1/6

The probability of rolling a number greater than 2

Numbers greater than 2 are; 3,4,5,6

So the probability of rolling a number out of this four is 4/6

Hence, the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be;

1/6 * 4/6 = 4/36 = 1/9

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A triangle is shown. The table names different transformations that can be applied to the triangle.
Citrus2011 [14]

The given transformations are rigid transformation in which the image

can be located by a formula.

Response:

First reflect across the x-axis then reflect across the y-axis

  • Figure: Second graph

First, rotate 180° counterclockwise around the origin. Then reflect across the x-axis.

  • Figure: Third graph

First translate 9 units to the left. Then reflect across the x-axis

  • Figure: First graph

<h3>Which method is used to determine the transformation of an image?</h3>

The coordinates of (x, y) following a reflection across the x-axis is (x, -y)

The coordinates following a reflection across the y-axis is (-x, y)

The points of the triangle following the first transformation is therefore;

(4, 4) → (4, -4) → (-4, -4)

(8, 4) → (8, -4) → (-8, -4)

(6, 6) → (6, -6) → (-6, -6)

The image from the first transformation is (-4, -4), (-8, -4), (-6, -6), which

corresponds to the <u>second graph</u>.

The coordinates following a rotation of (x, y) by 180° about the origin is (-x, -y)

A reflection of the point (-x, -y) about the x-axis is (-x, y).

Therefore;

(4, 4) → (-4, -4) → (-4, 4)

(8, 4) → (-8, -4) → (-8, 4)

(6, 6) → (-6, -6) → (-6, 6)

The image from the second transformation is (-4, 4), (-8, 4), (-6, 6), which corresponds to the <u>third graph</u>.

The coordinates following a translation of 9 units to the left is (x - 9, y)

A reflection of the point (x - 9, y) about the x-axis is (x - 9, -y)

Therefore;

(4, 4) → (4 - 9, -4) = (-5, -4)

(8, 4) → (8 - 9, -4) = (-1, -4)

(6, 6) → (6 - 9, -6) → (-3, -6)

The image from the third transformation is (-13, -9), (-1, -4), (-7, -6), which corresponds to the<u> first graph</u>.

Learn more about rigid transformations here:

brainly.com/question/11408409

6 0
2 years ago
Read 2 more answers
Can someone please help?
Sonja [21]

Answer:y=2x-5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP ASSSAPP WITH THIS QUESTION!!!!
Brut [27]
The other two vertices are (-3,6) and (-6,3)                                                                                                                      
5 0
3 years ago
What is the equation in slope-intercept form of the line that passes through the point (5,0) and is parallel to the line represe
zlopas [31]

Answer:

y=1.2x-6

Step-by-step explanation:

place in the points

0=1.2(5)+b

distrubutive property

0=6+b

subtract 6 on both sides

-6=b

y=1.2x-6

6 0
3 years ago
Can I get help on 37 please someone
GaryK [48]

Answer:

B

Step-by-step explanation:

B is the correct answer.

8 0
3 years ago
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