Azul used a number cube with the numbers 1-6 in a simulation. He assigned 1-4 as the favorable outcome and 5-6 as the unfavorable outcome. What situation could this represent.

Answer:

6

Step-by-step explanation:

1)

-2+12x = 11x+4 [ corresponding angle formed by two parallel lines are equal ]

2)

NOW, Simple simplify....

Given:

Number of blue marbles = 6

Number of red marbles = 4

Number of green marbles = 4

Choose one marble without looking,

To find:

The probability that the selected marble is red or green.

Solution:

For the given problem,

Total outcomes = Total number of marbles

                          = [tex]6+4+4[/tex]

                          = [tex]14[/tex]

Favorable outcomes = Number of red or green marbles.

                        = [tex]4+4[/tex]

                        = [tex]8[/tex]

The probability that the selected marble is red or green, is

[tex]P=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]

[tex]P=\dfrac{8}{14}[/tex]

[tex]P=\dfrac{4}{7}[/tex]

Therefore, the probability that the selected marble is red or green, is [tex]\dfrac{4}{7}[/tex].

Answer:

6. Additional information is required on the two triangles

7. The pair of triangles are similar by SAS similarity postulate

8. Yes, by triangle proportionality theorem

9. DE = 9

Step-by-step explanation:

When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant

6. From the given figure, more information is required on the two triangles

However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate

7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;

18/45 and 10/25

18/45 = 2/5

10/25 = 2/5

Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate

8. By triangle proportionality theorem, we have;

If [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex], then we have;

3/6 = 4/8 = 2

∴  [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex]

9. By triangle proportionality theorem, where [tex]\overline{BE}[/tex] ║ [tex]\overline{CD}[/tex], we have;

12/20 = DE/15

∴ DE = 15 × 12/20 = 9

DE = 9

Answer:

Triangle EFG has vertices E(-3, 4), F(-5, -1), and G(1, 1)

Step-by-step explanation:

Answer:

angle g is a 2 and fghj is a 1234 ok

Answer:

22.50%

Step-by-step explanation:

Rate of return = ( Return on stocks / price at which it is bought) x 100

Return on stocks = (price at which it is sold - price at which it is bought )

Price at which 20 stocks are bought = 20 x 20 = $400

Return = $490 - $400 = $90

($90 / $400) x 100 = 22.50%

Answer:

??

Step-by-step explanation:

Answer:

66 ft.

Step-by-step explanation:

Add 9+9+9+9+30 and that equals 66.

Answer: 2 one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Sinkholes are cavities in the ground that form when water erodes an underlying rock layer.

Answer:

(s - 1)(s² + s + 1)

Step-by-step explanation:

s³ - 1 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

s³ - 1

= s³ - 1³

= (s - 1)(s² + s + 1)

The required factorized form of the given expression is (s - 1)(s² + s + 1).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

We have been given that the expression below as

s³ - 1

We have to determine the factor of the given expression

As per the question, we have

s³ - 1

This is a difference between cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

⇒ s³ - 1 = s³ - 1³

⇒ (s - 1)(s² + s + 1)

Thus, the required factorized form is (s - 1)(s² + s + 1).

Learn more about the Factorization here:

brainly.com/question/4184435

#SPJ2

Answer:

Yes

Step-by-step explanation:

I'm assuming this is right

Answer:

x²+y²=225

Step-by-step explanation:

when centered at the origin the equation of a circle is x²+y²=r²

we are given x and y so 9²+12²=r²

[tex]r^{2} =9^{2} +12^{2}\\ =81+144\\ =225[/tex]

Answer:

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

3(x-5)=9

3x-15=9

3x-15+15=9+15

3x=24

x=8

Answer:

x=8

Step-by-step explanation:

3(x-5) = 9

(3(x-5))/3 = 9/3

x-5 = 3

x-5+5 = 3+5

x=8

Answer:

Flagpole height is 50 ft.

Explanation:

This is a ratio problem

Step-by-step explanation:

Answer:17

Step-by-step explanation: you’re welcome

Answer:

Eleventeen

Step-by-step explanation:

Answer:

THIRTEEN

Step-by-step explanation:

Answer:

$ is less than or equal to $16

Step-by-step explanation:

Answer:

2x+5

Step-by-step explanation:

Answer:

5(2x) => 10x

Step-by-step explanation:

Answer:

9 units

Step-by-step explanation:

Given: Two points on a coordinate plane are [tex](-5,9),\,(4,9)[/tex]

To find: distance between points [tex](-5,9),\,(4,9)[/tex]

Solution:

According to the distance formula,

Distance between points [tex](a,b)[/tex] and [tex](c,d)[/tex] is equal to [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

Take [tex](a,b)=(-5,9),\,(c,d)=(4,9)[/tex]

Therefore,

Distance between points [tex](-5,9),\,(4,9)[/tex] [tex]=\sqrt{(4+5)^2+(9-9)^2}[/tex]

                                                               [tex]=\sqrt{(9)^2}[/tex]

                                                               [tex]=9[/tex] units

Answer:

Number of population between  16 and 60 =17,604

Step-by-step explanation:

population of town = 32600

Percentage of people over 60 years old=27%

Percentage of people 16 or under =19%

Percentage of people between  16 and 60= 100%-(27% +19%)

100-(46) =54%

Number of population between  16 and 60 =Percentage of people between  16 and 60 x population of town

=54% x 32600

=17,604

Answer:

Area=1/2 b×h

A1=1/2×8×14

=56m²

A2=1/2 ×16×14

=112m²

therefore total area

=56+112

168m²

Answer:

AC = 28

Step-by-step explanation:

ΔADB ≈ ΔDBC

DC / BC = AD / 15

16 / 20 = AD / 15

cross-multiply:

20AD = 240

AD = 12

AD + DC = AC

12 + 16 = AC

28 = AC

Answer:

A, B, C.

Step-by-step explanation:

Answer:

B.21

Step-by-step explanation:

because it's the only whole number.