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3 years ago

IMPORTANT

Mathematics

1 answer:

koban [17]3 years ago

8 0

Answer:

11/18

5/9

Step-by-step explanation:

we will make punnette square

dice1

dice2 1 2 3 4 5 6

1 2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 8 9

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11 12

The probability that the sum of the numbers rolled is either even or a multiple of 5

even number = 18

{(1,1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4,2), (4, 4), (4, 6), (5, 1), (5, 3), (5, 5), (6, 2), (6, 4), (6, 6)},

and

multiple of 5 = 4

{(1,4), (2, 3), (3, 2), (4, 1), (4, 6), (5, 5), (6, 4)}

(we will skip the repeating)

18 + 4 = 22

probability = 22/36

= 11/18

The probability that the sum of the numbers rolled is either a multiple of 3 or 4

multiple of 3 = 12

{(1, 2), (1, 5), (2, 1), (2, 4), (3, 3), (3, 6), (4, 2), (4, 5), (5, 1), (5, 4), (6, 3), (6, 6)}

and

multiple of 4 = 8

D = {(1, 3), (2, 2), (2, 6), (3, 1), (3, 5), (4, 4), (5, 3), (6, 2), (6, 6)}

(we will skip the repeating)

12 + 8 = 20

probability = 20/36

= 5/9

You might be interested in

Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down,

jeka94

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)

If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)

If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

∴ h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

∴ Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

∴ The new image is (-1, -4)

∵ It is translated 2 units down

∴ k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

∴ The final image is (-1, -6)

∴ The coordinates of the image of point A are (-1, -6).

6 0

4 years ago

I dont understand what to do

marta [7]

Multiply negative five over three by negative thirty three and then add thirty five which will give you the answer.

7 0

3 years ago

The difference of the square of a number and 4 is equal to 3 times that number. Find the negative solution.

leonid [27]

The negative solution is x = –1.

Solution:

Let the number be x.

Square of a number = x²

3 times a number = 3x

Difference of square of a number and 4 = 3 times that number

$\Rightarrow x^2-4=3x$

Subtract 3x from both sides of the equation, we get

$\Rightarrow x^2-3x-4=0$

–3x can be written as x – 4x.

$\Rightarrow x^2+x-4x-4=0$

$\Rightarrow( x^2+x)+(-4x-4)=0$

1st bracket have common term x and bracket have –4 common term.

$\Rightarrow x( x+1)-4(x+1)=0$

Take common term x + 1 outside.

$(x+1)(x-4)=0$

By zero factor principle, if AB = 0 then A = 0 or B = 0.

x + 1 = 0, x – 4 = 0

x = –1, x = 4

The negative solution is x = –1.

7 0

4 years ago

The expression x4 + 6x3 – 11x2 – 60x + 100 is equivalent to (x – 2)(x – 2)(x + 5)(x + 5). At what points does the graph of the f

nikdorinn [45]

Since y equals the product of the factors, any value for x which makes any factor equal to zero is a point where the graph touches the x-axis.

x=-5 and 2 (technically the points (-5,0) and (2,0))

6 0

4 years ago

Read 2 more answers

Please help!!! I’ll mark you the Brainlyest!!

Tatiana [17]

Answer: C.

Step-by-step explanation:

i hope this helpes!!

3 0

3 years ago

Read 2 more answers

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