A bag contains 10 red, 3 blue, and 2 yellow marbles. If 3 marbles are selected one at a time with replacement, find the probability that all three are different colors

Answer:

y is given to you

Step-by-step explanation:

Keep doing good

Answer:

5ft

Step-by-step explanation:

This simple proportions. 6/10=3/x. Solve for x. Cross Multiply. 6x=30. 30/6=5. x=5. Answer 5.

Answer:

x = 5

Step-by-step explanation:

6/10 = 3/x

cross multiply to get 30 ( 3x10 )

then divide by 6

to get the end answer of 5

hipe this makes sense

Answer:

.75 degrees Celsius

Step-by-step explanation:

1152-1108=44 16+17=33 33divided by 44=0.75

Answer:

Slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Slope of a straight line passing two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph attached,

Line is passing through two points (20, 5) and (80, 20),

Therefore, slope of the line will be,

m = [tex]\frac{20-5}{80-20}[/tex]

m = [tex]\frac{1}{4}[/tex]

The slope is [tex]\frac{1}{4}[/tex].

Question:

Linear Equation In One Variable

solve x,

[tex]\frac{3x}{2} -7 = 5[/tex]

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{2} -7 = 5[/tex]

Required

Solve for x

[tex]\frac{3x}{2} -7 = 5[/tex]

Multiply through by 2

[tex]2(\frac{3x}{2} -7) = 5 * 2[/tex]

[tex]2*\frac{3x}{2} -2 * 7 = 5 * 2[/tex]

[tex]3x - 14 = 10[/tex]

[tex]3x = 14 + 10[/tex]

[tex]3x = 24[/tex]

Solve for x

[tex]x = \frac{24}{3}[/tex]

[tex]x = 8[/tex]

Answer:

x: (-14/9, 0)

y: (0,-14)

Step-by-step explanation:

Answer:

I think it is 4/7 is red

Step-by-step explanation:

Answer:The answer is 15.78

Step-by-step explanation:

Answer:

22.84 yep

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3x(6+3)=27, shed have 1 inch left over

Answer:

12 dollars for 1 hour.

Step-by-step explanation:

Double both sides

Answer:

$12 per hour

Step-by-step explanation:

if $6 is for half an hour and there are two halves in one hour then 6*2 is $12 for an hour

Answer:

18 tests

Step-by-step explanation:

Create a proportion where x is the number of tests after 9 weeks:

[tex]\frac{10}{5}[/tex] = [tex]\frac{x}{9}[/tex]

Cross multiply and solve for x:

5x = 90

x = 18

So, after 9 weeks, Vera will have taken 18 tests

Answer:

18

Step-by-step explanation:

18

10 tests     =   x tests

/ 5 weeks =   / 9 weeks

10* 9= x5

90/5=  18

Answer:

D. CH 3 CH 2 OH (I)

Step-by-step explanation:

Answer:

Your answer to your question is 15

Step-by-step explanation:

Answer:

Base=3x-1

height =x

As we know that in a triangle

[tex]{\boxed{\sf Area={\dfrac {1}{2}}\times Base \times Height }}[/tex]

[tex]\qquad\quad {:}\longrightarrow\sf 22={\dfrac {1}{2}}(3x-1)(x)[/tex]

[tex]\qquad\quad {:}\longrightarrow\sf x (3x-1)=44 [/tex]

[tex]\qquad\quad {:}\longrightarrow\sf 3x^2-x=44 [/tex]

The equation that correctly shows the area of the triangle is 1/2x(3x - 1) = 22. Correct option is d.

To find the equation that correctly shows the area of the triangle, we use the formula for the area of a triangle:

Area = (1/2) * base * height

Given that the base is represented by 3x - 1 and the height is x, the area of the triangle is:

Area = (1/2) * (3x - 1) * x

Now, we are given that the area of the triangle is 22m^2:

(1/2) * (3x - 1) * x = 22

To solve for x, we can multiply both sides by 2 to eliminate the fraction:

2 * (1/2) * (3x - 1) * x = 2 * 22

x * (3x - 1) = 44

Now, we have the equation that correctly shows the area of the triangle:

x(3x - 1) = 44

So, the correct answer is:

x(3x - 1) = 44

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Answer:

4.2 you should use a calculator for these

Step-by-step explanation:

Solution :

From the output of regression equation given by

Number of death of children in 1991 = [tex]$-5.21226+1.003538 \times \text{ No. of child death in 1985}$[/tex]

Now, number of death of children in the year 1991 = [tex]$-5.21226+1.003538 \times \text{ No. of child death in 1985}$[/tex]

For x = no. of deaths of children in the year 1985 = 65

So substituting in the regression equation,

No. of deaths of children in year 1991 =  [tex]$-5.21226+1.003538 \times 65$[/tex]

                                                              = [tex]$60.01771$[/tex]

                                                              ≈ 60

Now residual = [tex]$\text{observed y - predicted y}$[/tex]

                      = [tex]$42-60$[/tex]

                      [tex]$-18$[/tex]

Part(a): Number of child deaths is,

[tex]1991=-5.21226+1.003538\times[/tex]  number of child deaths in 1985

Part(b):

The number of child deaths in 1991 is 60.

Part(c): The observed is -18.

Part(a):

The given data can be solved by excel as,

From the output regression equation is,

Number of child deaths is,

[tex]1991=-5.21226+1.003538\times[/tex]  number of child deaths in 1985

Part(b):

Number of child deaths is,

[tex]1991=-5.21226+1.003538\times[/tex]  number of child deaths in 1985

For x=Number of child deaths in 1985=65

Number of child deaths in 1991 is,

[tex]-5.21226+1.003538\times65=60.01771\\=60[/tex]

Part(c):

Residual=observed y-predicted y

=42-60

=-18

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Answer:

20

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

Answer and explanation is in the picture.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line that passes through the point (3, 1) and (1, -3) is

y = 2x - 5.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line is y = mx + c

(3, 1) = (a, b)

(1, -3) = (c, d)

Slope:

= (d - b) / (c - a)

= (-3 - 1) / (1 - 3)

= -4 / -2

= 2

m = 2

Now,

We can choose any point and set it as (x, y) and substitute it in the equation.

(3, 1) = (x, y)

y = mx + c

1 = 2 x 3 + c

1 = 6 + c

c = 1 - 6

c = -5

Now,

m = 2

c = -5

The equation of the line that passes through the point (3, 1) and (1, -3) is

y = 2x - 5.

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Answer:

g = 12b /5

Step-by-step explanation:

Given that:

Quarts of green paint = 4

Cup of black paint = 5/3

Quartz of green paint to be mixed with a given proportion of black paint.

Let proportion of black paint = b

Quartz of green paint = g

4 quartz = 5/3 cups

g quartz = b

Cross multiply :

4 * b = (5/3) * g

5/3 * g = 4b

g = 4b ÷ 5/3

g = 4b * 3/5

g = 12b /5

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The question says liner function of time. So it’s not just one point it’s a line. all the others if graphed would be a single point while C would make a line because it says  every year it increases by 10000.

Answer:

48

Step-by-step explanation:

Given is an isosceles triangle:

[tex] \angle Y \cong \angle Z (isosceles \: \triangle \: theorem) \\

m\angle Z = m\angle Y=x\\

\therefore 84\degree + x\degree +x\degree = 180\degree \\

\therefore 84\degree + 2x\degree = 180\degree \\

\therefore 2x\degree = 180\degree - 84\degree \\

\therefore 2x\degree = 96\degree \\\\

\therefore x\degree = \frac{96\degree}{2} \\\\

\therefore x\degree = 48\degree \\

\therefore x = 48 \\

[/tex]

Answer:

Blank 1: 12.5 mph

Blank 2: .36 hours

Step-by-step explanation:

1. 3.75/.3 = 12.5

2. 4.5/12.5 = .36

Answer:

-64.8

Step-by-step explanation:

Answer:

-64.8

Step-by-step explanation:

Answer:

5x +12 =90

5x +12+ 90=180

90 + 5x +12 + x = 180

x + 90 = 5x +12

5x + 12 + x = 90

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The constant to add is the square of half the x-coefficient:

  (14/2)² = 49

The constant in each binomial factor is half the x-coefficient:

  (x +7)²

Answer:

it dropped 13 degrees

Step-by-step explanation: