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3 years ago

13

William has ten colored game pieces in a box: 3 yellow pieces, 5 orange pieces, 1 green piece, and 1 red piece. What is the prob

ability that if he randomly pulls a game piece out of the box it will be orange? Enter your answer as a decimal.

1 answer:

Nutka1998 [239]3 years ago

6 0

Answer:

.5

Step-by-step explanation:

.5

yellow= .30

orange= .50

green= .10

red- .10

You might be interested in

What other points are on the line of direct variation through (5, 12)? Check all that apply. (0, 0) (2.5, 6) (3, 10) (7.5, 18) (

aalyn [17]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

in this problem we have

the point $(5,12)$ is on the line of direct variation

so

Find the constant of proportionality k

$y/x=k$ -------> substitute ------> $k=12/5$

the equation is

$y=\frac{12}{5}x$

Remember that

If a point is on the line of direct variation

then

the point must satisfy the equation of direct variation

we're proceeding to verify each point

<u>case A)</u> point $(0,0)$

$x=0\ y=0$

Substitute the value of x and y in the direct variation equation

$0=\frac{12}{5}*0$

$0=0$ -------> is true

therefore

the point $(0,0)$ is on the line of direct variation

<u>case B)</u> point $(2.5,6)$

$x=2.5\ y=6$

Substitute the value of x and y in the direct variation equation

$6=\frac{12}{5}*2.5$

$6=6$ -------> is true

therefore

the point $(2.5,6)$ is on the line of direct variation

<u>case C)</u> point $(3,10)$

$x=3\ y=10$

Substitute the value of x and y in the direct variation equation

$10=\frac{12}{5}*3$

$10=7.2$ -------> is not true

therefore

the point $(3,10)$ is not on the line of direct variation

<u>case D)</u> point $(7.5,18)$

$x=7.5\ y=18$

Substitute the value of x and y in the direct variation equation

$18=\frac{12}{5}*7.5$

$18=18$ -------> is true

therefore

the point $(7.5,18)$ is on the line of direct variation

<u>case E)</u> point $(12.5,24)$

$x=12.5\ y=24$

Substitute the value of x and y in the direct variation equation

$24=\frac{12}{5}*12.5$

$18=30$ -------> is not true

therefore

the point $(12.5,24)$ is not on the line of direct variation

<u>case F)</u> point $(15,36)$

$x=15\ y=36$

Substitute the value of x and y in the direct variation equation

$36=\frac{12}{5}*15$

$36=36$ -------> is true

therefore

the point $(15,36)$ is on the line of direct variation

therefore

<u>the answer is</u>

$(0,0)$

$(2.5,6)$

$(7.5,18)$

$(15,36)$

5 0

3 years ago

Read 2 more answers

2x + y = 1<br> 3x + 2y = 0

ale4655 [162]

Answer:

(2,-3)

x=2 y=-3

Step-by-step explanation:

2x+y=1 y=1-2x

3x+2y=0

3x+2(1-2x)=0

3x+2-4x=0

-x+2=0

-x=-2

x=2

2x+y=1

2(2)+y=1

4+y=1

y=-3

7 0

3 years ago

Mrs. Hector is renovating a house. The living room is a rectangle 10 feet long and 15 1/2 feet wide. Mrs. Hector wants to put in

xenn [34]

Answer:

Flooring: 155 | Cost: 968.75

Step-by-step explanation:

10 x 15 1/2 = 155

then multiply the 155 with the 6.25

you will get 968.75

so the cost is $968.75

6 0

2 years ago

What are the factors of the expression:<br><br> (y - 2)(x + 3)

timofeeve [1]

Answer:

(y - 2) and (x + 3)

Step-by-step explanation:

(y - 2)(x + 3) is already in factored form; the factors are (y - 2) and (x + 3).

3 0

3 years ago

Ryan is 4 1/2 ft. tall. He is 3 in. taller than his sister Lizzie. She is 3/4 of a foot taller than her sister Emma. How tall is

77julia77 [94]

Answer:

$3\frac{1}{12}$ ft tall

Step-by-step explanation:

We must follow the indications:

Ryan is 4 1/2 ft. tall.

Ryan = $4\frac{1}{12} ft$

He is 3 in. taller than his sister Lizzie. to find how tall is Lizzie we need to substract 3 inches from the height of Ryan, but we can only substract the quantities if they are in the same units.

Thus we convert the 3 inches to feet, since we 1 feet = 12 inches:

$\frac{1}{4} feet=3inches$

so the height of lizzie:

$4\frac{1}{12}ft-\frac{1}{4}ft\\ \\$

we convert the first mixed number to fraction by multiplying 4 by 12 and adding the numerator 1:

$4\frac{1}{12}=\frac{4*12+1}{12}=\frac{49}{12}$

the subtraction becomes:

$\frac{49}{12}ft-\frac{1}{4}ft\\ \\=\frac{49*4-12*1}{12*4}\\ \\=\frac{196-12}{48}\\\\=\frac{184}{48}\\ \\=\frac{46}{12} \\$

$=\frac{23}{6}$

Lizzie is 23/6 ft tall.

She is 3/4 of a foot taller than her sister Emma, thus we must substract 3/4 from the height of Lizzie to find the height of Emma:

$\frac{23}{6}ft-\frac{3}{4}ft\\ \\=\frac{23*4-6*3}{6*4}\\ \\=\frac{92-18}{24}\\ \\=\frac{74}{24}\\ \\=\frac{37}{12}\\ \\=3\frac{1}{12}$

Emma is $3\frac{1}{12}$ ft tall.

4 0

3 years ago