A marble is randomly selected from a bag. The probability of selecting a marble with dots on it is 0.2. The probability of selecting a marble that is both purple and has dots on it is 0.1. What is the probability of selecting a purple marble given that the marble has dots on it? Enter your answer as a decimal below

Answer:

c= 7/3

Step-by-step explanation:

To solve for c:

Simplify the equation by moving all numbers to one side and variables to the other

    -9c-4=-25

    -9c= -25+4

    -9c=-21

Now isolate c by dividing both sides by its coefficient (-9)

      c= -21/-9

Since the (-) cancel out, this simplifies to:

      c= 21/9

Now reduce the fraction by dividing the right hand side by a common value of 3:

      c= 7/3

Answer:

The correct option is;

Exponential function 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

Step-by-step explanation:

The given functions are;

f(x) = 2x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 6, 10, 14, 18

f(x) = 2ˣ + 2

x = 0, 2, 4, 6, 8

f(x) = 3, 6, 18, 66, 258

f(x) = 2·x² + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 10, 34, 74, 130

f(x) = 3·x + 2

x = 0, 2, 4, 6, 8

f(x) = 2, 8, 14, 20, 26

By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2

Answer: The answer is B on edg

Step-by-step explanation:

Answer:

[tex] \boxed{\boxed{\huge \sf D. \ \frac{5x - 12}{(x + 3)(x - 3)}}} [/tex]

Step-by-step explanation:

[tex] \sf Summation \: of \: following : \\ \sf \implies \frac{3}{ {x}^{2} - 9} + \frac{5}{x + 3} \\ \\ \sf {x}^{2} - 9 = {x}^{2} - {3}^{2} : \\ \sf \implies \frac{3}{ {x}^{2} - \boxed{ \sf {3}^{2} }} + \frac{5}{x + 3} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {x}^{2} - {3}^{2} = (x + 3)(x - 3) : \\ \sf \implies \frac{3}{ \boxed{ \sf (x + 3)(x - 3)}} + \frac{5}{x + 3} \\ \\ \sf Put \: each \: term \: in \: \frac{3}{(x + 3)(x - 3)} + \frac{5}{x + 3} over \\ \sf the \: common \: denominator \: (x + 3)(x - 3) : \\ \sf \implies \frac{3}{(x + 3)(x - 3)} + \frac{5(x - 3)}{(x + 3)(x - 3)} \\ \\ \sf \frac{3}{(x + 3)(x - 3)} + \frac{5(x - 3)}{(x + 3)(x - 3)} = \frac{5(x - 3) + 3}{(x + 3)(x - 3)} : \\ \sf \implies \frac{5(x - 3) + 3}{(x + 3)(x - 3)}[/tex]

[tex] \sf 5(x - 3) = 5x - 15 : \\ \sf \implies \frac{ \boxed{ \sf 5x - 15} + 3}{(x + 3)(x - 3)} \\ \\ \sf Grouping \: like \: terms, \: 5x - 15 + 3 = 5x + (3 - 15) : \\ \sf \implies \frac{ \boxed{ \sf 5x + (3 - 15)}}{(x + 3)(x - 3)} \\ \\ \sf 3 - 15 = - 12 : \\ \sf \implies \frac{5x - 12}{(x + 3)(x - 3)} [/tex]

Answer:

Up 5

Right 2

Step-by-step explanation:

Lets graph it first.

Look at the image below ↓

By looking at it we can tell that it is not narrower or wider but it has been sent up 5 and right 2.

Thus,

it has been moved up 5 and right 2.

Hope this helps :)

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x + k) is a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

thus (x - 2)² represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Thus + 5 represents a shift up by 5 units

Overall the graph of y = (x - 2)² + 5 is the graph of y = x²

shifted right by 2 units and up by 5 units

Answer:

[tex]e=-2[/tex]

Step-by-step explanation:

Given: [tex]0.75(8+e)=2-1.25e[/tex]

Step 1: Distribute the Left-Hand Side

[tex]0.75*8+0.75*e=2-1.25e\\6+0.75e=2-1.25e[/tex]

Step 2: Collect like terms

[tex]0.75e+1.25e=2-6\\2e=-4[/tex]

Step 3: Divide both sides by 2

[tex]e=-2[/tex]

Answer:

E=-2

Step-by-step explanation:

I got this right on Khan!

Hope this helps! ;)

Answer:b=-43.38

Step-by-step explanation:

In the sequence 5,10,20,40,80.. I can see that it is doubled each time.

Doubling 5 is 10, doubling 10 is 20, doubling 20 is 40, and doubling 40 is 80.

Good luck! Stay safe!

- Eli <3

Answer:

Step-by-step explanation:

the shape is a trpizoid with height y

A=(a+b)/2 *h (a=2x=4cm, h=y=4cm, b=2z=12 cm

A=(4+12)/2 * 4

Area=16/2 *4=8*4= 32 cm²

Answer:

24 Centimeters

Step-by-step explanation:

what you want to do is split it up, make two triangles (the sides), and one big square. The square has the dimensions 4 by 4 which has the area of 16. The two triangles have the dimensions 2 by 4, which would be 4 and because there are two, the triangles equal 8. 16+8=24

Hope this helps. :)

Answer:

Answers are below

Step-by-step explanation:

1. List all possible outcomes

HHH HHT  HTH  HTT  TTT  THH  THT  TTH  

2. The probability of tossing 2 tails and 1 head is 3/8.

3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 1 tail.

Answer:[tex]\color{yellow}{}[/tex]

1. List all possible outcome

HHH HHT HTH HTT TTT THH THT TTH

2. The probability of tossing 2 tails and 1 head is 3/8

3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 2 tail.

Answer:

x = 6

Step-by-step explanation:

For this, we simply can use similar triangles to build proportions to find the value of x.

The base of one triangle is 4 with a hypotenuse of x.

The base of the second triangle is x with a hypotenuse of 4+5.

Hence, we can build this proportion:

x/9 = 4/x

Now we solve for x in this proportion:

x/9 = 4/x

x * x = 9 * 4

x^2 = 36

x = 6

Now we know the value of x=6.

Cheers.

Answer:

The answer is explained below

Step-by-step explanation:

I am going to list a series of points where it is important to learn how to perform matrix operations.

1. The first and most important is that calculators may not always be available, and even if you do have them there will be cases where they won't let you use them.

2. By performing the operation by hand it will allow you to understand the process in a better way, such as finding an inverse, if you do this with a calculator you will most likely not know what was done.

3. Although it seems basic, some calculators cannot display the elements of a matrix as fractions, which is important to understand the process.

4. There are special cases such as when an array could contain a variable and the calculator could not be used in this case.

5. Although in most cases the calculator can help us get out of the operation quickly, sometimes it is faster at hand and, most importantly, when performing the step by step, you understand the entire operation better.

INCLUDE:

Calculators may not always be available.

Finding an inverse by hand allows me to understand the process.

Calculators may not show the elements of a matrix as fractions.

Sometimes it is faster by hand.

A matrix could contain a variable.

Answer:

Length of AB is 12

Step-by-step explanation:

Here, we are concerned with finding the full length of line AB, given the distance between the midpoint of the line AB and the point B itself

What this means is that, the distance of the halfway of the full length is 6

So the total distance would be twice the halfway distance

So if the halfway distance is 6, then the full distance would be 6 * 2 = 12

So the length of AB = 12

Answer:

Step-by-step explanation:

If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.

If we introduce a constant of proportionality, k , the relationship would be

t = kg

Given that

When t = 18, g = 10, then

18 = k × 10

k = 18/10 = 1.8

Therefore, the equation representing the relationship is

t = 1.8g

Answer:

answer is a

Step-by-step explanation:

Answer:

Area = 259.8 cm²

Step-by-step explanation:

Central Angle = 360/6 = 60 degrees

The half of which is 30 degrees

So,

=> Tan 30 = [tex]\frac{opposite}{adjacent}[/tex]  (Considering it a right angled triangle)

Where opposite = 1/2 s and adjacent = 5√3 cm

=> 0.577 * 5√3 = 1/2 s

=> 1/2 s = 5

So,

=> s = 10 cm

Perimeter = 6s = 6(10) = 60 cm

Area of Regular Polygon = [tex]\frac{1}{2} (Apothem)(Perimeter)[/tex]

Area = [tex]\frac{1}{2} (5\sqrt{3} )(60)[/tex]

Area = (5√3)(30)

Area = 259.8 cm²

Answer:

x ≈ - 5.32 , x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4, that is

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{11}[/tex]

Thus

x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )

x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )

Answer:

x=-5.32 or x=1.32

Step-by-step explanation:

1/3 and 5/2 can be shown as:

points with 1/6 interval on the number line:

0, 1/6, 2/6, 3/6, 4/6, ..., 15/6

Answer:

$612.00

Step-by-step explanation:

$1800*.34=$612.00

Answer:

x = 200

Step-by-step explanation:

1/5x – 2/3y = 30

substitute in y  

1/5x - 2/3(15) = 30

multiply  

1/5x - 10 = 30

isolate the variable  

1/5x = 40

multiply each side by 5  

x = 200

Answer:

x = 200

Step-by-step explanation:

1/5x - 2/3y = 30

Put y as 15 and evaluate.

1/5x - 2/3(15) = 30

1/5x - 30/3 = 30

1/5x - 10 = 30

Add 10 on both sides.

1/5x = 40

Multiply both sides by 5.

x = 200

Answer:

9 squared units

Step-by-step explanation:

The area of a parallelogram is base × height.

b × h

= 3 × 3

= 9

Answer:

9 square units

Step-by-step explanation:

Answer: a = 3∛2

Step-by-step explanation:

ab⁴ = 384     --> a = 384/b⁴

Substitute a = 384/b⁴ into the second equation to solve for "b".

   a²b⁵ = 4608

[tex]\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b[/tex]

Substitute b = 2∛4 into the first equation to solve for "a".

ab⁴ = 384

a(2∛4)⁴ = 384

        a  = 384/(2∛4)⁴

        a = 24/4∛4

           = 6/∛4

           = 6(∛2)/2

           = 3∛2

Answer:

[tex]\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right[/tex]

Step-by-step explanation:

The coordinates are:

[tex]\left\begin{array}{ccc}A\left( \boxed{3} , \boxed{8} \right)&B\left( \boxed{9} , \boxed{6} \right )\\\\C\left( \boxed{1} , \boxed{4} \right)&D\left( \boxed{7} , \boxed{2} \right )\end{array}\right[/tex]

The parallelogram is attached below.

To verify if these coordinates form a parallelogram, we show that:

Using Distance Formula

[tex]AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units[/tex]

[tex]CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units[/tex]

[tex]AC = \sqrt{(8-4)^2+(3-1)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units[/tex]

[tex]BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units[/tex]

Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.

Answer:

15

Step-by-step explanation:

d = 5 for PQ

For:

(X1, Y1) = (0, 0)

(X2, Y2) = (5, 0)

finding distance between two points

d=√(5−0)^2+(0−0)^2

d=√(5)^2+(0)^2

d=√25+0

d=√25

d=5

for RS d=3

d = 3

For:

(X1, Y1) = (3, 2)

(X2, Y2) = (0, 2)

d=√(0−3)^2+(2−2)^2

d=√(−3)^2+(0)^2

d=√9+0

d=3

Area= length * width

Area=3*5=15

Answer:

x = 5.5

EF = 14

Step-by-step explanation:

We can use ratios to solve

AG                  7

----------- =  -----------------

EG                   2x+3

We know that EG is 2 times AG since A is the midpoint

AG                  7

----------- =  -----------------

2 AG                   2x+3

Canceling like terms

1                  7

----------- =  -----------------

2                    2x+3

Using cross products

1 (2x+3) = 2*7

2x+3 = 14

Subtract 3 from each side

2x+3-3 = 14-3

2x =11

Divide by 2

x = 11/2

x = 5.5

EF = 2x+3 = 2*5.5+3 = 14

Answer:

Option 1

Step-by-step explanation:

=> [tex]x^2-4x+2 = 10[/tex]

Adding 2 to both sides to complete the square

=> [tex]x^2-4x+4 = 12[/tex]

Completing the square

=> [tex](x-2)^2= 12[/tex]

Answer:

Step-by-step explanation:

exact form:

x=+2\sqrt(3+2)

decimal form:

x=5.46410161

Answer:

Certain.

Step-by-step explanation:

When the probability of choosing an apple-flavored juice box without looking is 1, that means you have a 100% chance of getting it. There's no way you can miss, so it is certain.

Hope this helps!

Answer:

certain

Step-by-step explanation:

since the outcome is a 100% the answer is certain

Answer:

2x-30

Step-by-step explanation:

Expand: 7x-5x-30

=2x-30

Answer:

40.39

Step-by-step explanation:

35% discount off 55 is 19.25

$35.75 is the answer

to calculate the tax its 13% rate in your area or what ever

1.13 x 35.75 = 40.39

Answer: 380[tex]cm^{2}[/tex]

Step-by-step explanation:

Area of triangle= 14 x 10 = 140

140/2 = 70

4 triangles= 70 x 4 = 280

Area of the square= 10 x 10 = 100

Total surface area= 280 + 100 = 380[tex]cm^{2}[/tex]

hello fellow army :)

Answer:

The slope is -9/2 and the y intercept is 28

Step-by-step explanation:

We want to put this in slope intercept form

y = mx+b where m is the slope and b is the y intercept

18x + 4y = 112

Subtract 18x from each side

18x+4y-18x = -18x+112

4y = -18x+112

Divide each side by 4

4y/4 = -18x/4 +112/4

y = -9/2x + 28

The slope is -9/2 and the y intercept is 28

Answer: D)-9/2; 28

Step-by-step explanation:

Answer:

The center is (-7,-8) and the radius is sqrt (2/3)

Step-by-step explanation:

( x + 7 )^ 2 + ( y + 8 ) ^2 = 4 /6

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

Rewriting

( x - -7 )^ 2 + ( y - -8 )^ 2 = (sqrt(2/3)^2

The center is (-7,-8) and the radius is sqrt (2/3)

Answer:

center:    (-7,-8)         radius: 2/3

Step-by-step explanation:

i got this from wegnerkolmp2741o. thank you wegnerkolmp2741o!!!!!

also got this correct on khan academy