Suppose you have 4 purple marbles, 3 green marbles, and 5 red marbles.
If 4 marbles are selected at random, what is the probability you will get exactly 1 purple?
*Note, write your answer as the most reduced fraction possible.
For example 1/3 NOT 6/18.

Answer:

[tex]\large\boxed{\tt x=2}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for the value of x.}[/tex]

[tex]\textsf{We are given an equation where x is on both sides of the equation.}[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Begin solving by adding x to both sides of the equation to cancel out -x on the right}[/tex]

[tex]\textsf{side of the equation. Afterwards, simplify the left side of the equation to evaluate}[/tex]

[tex]\textsf{x.}[/tex]

[tex]\large\underline{\textsf{Evaluating x;}}[/tex]

[tex]\tt -2 + x= -x + 2[/tex]

[tex]\textsf{Remove the -x on the right side by adding x to both sides of the equation.}[/tex]

[tex]\tt -2 + x +\boxed{\tt x} = -x + \boxed{\tt x}+ 2[/tex]

[tex]\tt -2 + 2x = 2[/tex]

[tex]\textsf{Now, we should simplify the left side of the equation as there's only a whole number}[/tex]

[tex]\textsf{on the right side of the equation.}[/tex]

[tex]\textsf{Remove the -2 on the left side of the equation by adding 2 to both sides of the equation.}[/tex]

[tex]\tt -2 + \boxed{\tt 2}+ 2x = 2 + \boxed{\tt 2}[/tex]

[tex]\tt 2x = 4[/tex]

[tex]\textsf{Lastly, divide both sides of the equation by 2 to find the value of x.}[/tex]

[tex]\tt \frac{2x}{2} = \frac{4}{2}[/tex]

[tex]\large\boxed{\tt x=2}[/tex]

Answer:

[tex] \sf \: x = 2[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ -2 + x = -x + 2

Then the value of x will be,

→ -2 + x = -x + 2

→ x + x = 2 + 2

→ 2x = 4

→ x = 4 ÷ 2

→ [ x = 2 ]

Hence, the value of x is 2.

Answer:

x = 12

Step-by-step explanation:

Answer:

m∠NPM = 101

Step-by-step explanation:

Since LM is a straight line, Angle LPM and Angle NPM have to equal 180 degrees (they are supplementary), so we make the equation:

180-79=measure of angle NPM

m∠NPM = 101

Answer:

<NPM = 101°

Step-by-step explanation:

<NPM = 180° - <LPN ( because LPM is a straight line and it should measure 180°)

<NPM = 180° - 79°

<NPM = 101°

Answer:

b

Step-by-step explanation:

Answer:

I think your answer is B.

Step-by-step explanation:

Not 100% sure though

Answer:

Step-by-step explanation:

In 3 years Raymond will be 10, and his sister x + 3:

Marissa is 3 now and will be 6 in 3 years

Answer:

f'(x) = -6/x³

Step-by-step explanation:

We are given;

f(x) = 3/x²

Using quotient rule, we can write as;

f(x) = g(x)/h(x)

To find the derivative, from quotient rule, we can write;

f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²

g'(x) = 0

h'(x) = 2x

Thus;

f'(x) = [(x²*0) - (3*2x)]/(x²)²

f'(x) = -6x/x⁴ = -6/x³

f'(x) = -6/x³

Answer:

d)-8

Step-by-step explanation:

Answer:

3

+

1

5

+

1

8

Step-by-step explanation:

Answer: 158 and 28

Step-by-step explanation:

Supplementary angles are angles that add to 180, so 180-158 = 28 degrees.

Answer:

x (is greater than or equal to) -24

Step-by-step explanation:

x/-6 - 8 (is greater than or equal to) -12

add 8 to both sides

x/-6 (is greater than or equal to) 4

multiply both sides by -6

x (is greater than or equal to) -24

sorry I didnt know where to find the sign so I just wrote is greater than or equal to

Answer:

k is 2, l=2√5, m=8√5

Step-by-step explanation:

Triangle MNO is half size of the triangle LON

Answer:

(48,15), (63,39), (13,25), (71,52), (28,52)

Step-by-step explanation:

an ordered pair is pretty much an x that goes with a y

Answer:

94.7

Step-by-step explanation:

15.50+10*0.99*8

Answer:

1. Second Choice

2. Positive

3. Line B

4. Line D

5. Horizontal

Step-by-step explanation:

The y-intercept is the value of b —

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept.

Looking from the graph, the graph passes y-axis at (0,1) which is y-intercept.

Basically (0,a) is y-intercept.

Thus, our y-intercept is (0,1)

The slope is positive. If the slope is negative, it would face opposite.

For zero slope, the graph will become a horizontal line.

An undefined slope is the vertical line graph.

Line B has zero slope. As said, the zero slope will turn the graph into a horizontal line.

Line D has an undefined slope. Read Third Screenshot.

As said, an undefined slope is the vertical line.

[tex]y = - 3[/tex]

This is called Constant Function where the graph is a horizontal line. For a vertical line, it must be x = a (where a is constant)

FYI,

y = a — horizontal

x = a — vertical

Answer:

Step-by-step explanation:

X is less than 10 because you have the plus in the equation and so it as to be less than ten so that when you multiply it by 10 it equals less than 100. I don’t know if my explanation makes sense but I hope it helps.

Answer:

Si

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the rate of change is constant in y (adding 3) and x (adding 2)

Answer:

the 3rd one hope that helped

Step-by-step explanation:

Answer:

[tex]9\ m/s^2[/tex]

Step-by-step explanation:

For a moving object, the force acting on the object varies directly with the object's acceleration.

F ∝ a

or

[tex]\dfrac{F_1}{a_1}=\dfrac{F_1}{a_2}[/tex]

Put F₁ = 8 N, a₁ = 4 m/s², F₂ = 18 N and a₂ = ?

Put all the values,

[tex]\dfrac{8}{4}=\dfrac{18}{a_2}\\\\2=\dfrac{18}{a_2}\\\\a_2=9\ m/s^2[/tex]

So, the new acceleration is [tex]9\ m/s^2[/tex].

Answer:

7

Step-by-step explanation:

Answer:

72:48

Step-by-step explanation:

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 8 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, then

y = - 3x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - 3x + 5 ← equation of line

Answer:

A

Step-by-step explanation:

Answer

What’s your scratch username

Answer:

11 weeks and 3 days

Answer:

24.14%

Step-by-step explanation:

Given that,

A team's total salaries is $4,614,244.

The team would like to bring the total down to $3.5 million = $3500000

We need to find the percentage decrease in the team's total salary. The percentage decrease/increase in any value is givenby :

[tex]\%=\dfrac{\text{change in population}}{\text{initial population}}\times 100\\\\=\dfrac{3500000-4,614,244}{4,614,244}\times 100\\\\=24.14\%[/tex]

So, the percentage decrease in the team's total salary is 24.14%.

Answer:

225

Step-by-step explanation:

6x-12+3,f(39)=6(39)-12+3,234-12+3=225

Answer:

20 Input

10 output

Step-by-step explanation:

Here, we want to select the input and output that works

From the diagram, the correct answer is 20 and 10

Let us look at how the rule is followed;

divides input by 2

20/2 = 10 which is the output

Subtract 10 to get output

20-10 = 10

Answer:

9 days

Step-by-step explanation:

13 1/4 / 1 1/2 = 8 5/6 so 9 days