Bryce has 10 bals in a bag, each having a distinct color. He randomly picks a ball from the bag 4 times, with replacement. The expected number of distinct colors among the 4 balls Bryce picks can be expressed as a simplified fraction p q . Find p q.

Answer:

38 units.

Step-by-step explanation:

4x + 6 = [tex]\frac{1}{2}(4x + 44)[/tex]      {midpoint theorem}

4x + 6 = [tex]\frac{1}{2}*4x + \frac{1}{2}*44[/tex]

4x + 6 = 2x + 22

4x -2x + 6 = 22

  2x   + 6  = 22

           2x = 22 -6

          2x = 16

            x = 16/2

            x = 8

Length of midsegment = 4x + 6 = 4*8 + 6

                                     = 32 + 6

                                     = 38

Answer:

15ft

Step-by-step explanation:

Calculation for how tall is the tree

First step Let the proportion be x/10ft = 6ft /4ft

Second step is to cross-multiply by 4x

4x =10ft*6ft

4x = 60

Third step is to divide both sides by 4

4x = 60

4x/4=60/4

x=15 ft

Therefore the tree will be 15ft tall

9515 1404 393

Answer:

  2×5×11 = 110

Step-by-step explanation:

The factors are separated by the × (multiplication) sign. Common factors are numbers that are factors of both products.

It can be useful to list the factors in order of size, for easier comparison.

1st product:

  2 × 3² × 5² × 11 × 17

2nd product:

  2 × 5 × 7 × 11² × 13²

Ignoring exponents (for the moment), the numbers that appear in both products are 2, 5, 11. (I've highlighted them so you can see them more easily.)

Now, we consider the exponents. We want to determine the lowest exponent of each of these factors.

2 has the same exponent in both products: 1

5 has exponents of 2 and 1. The least of these is 1.

11 has exponents of 1 and 2. The least of these is 1.

So, the greatest common factor (GCF) is ...

  2¹ × 5¹ × 11¹ = 2×5×11 = 110 . . . . greatest common factor

(Comment on answer format: the given numbers are shown as a product of factors. It is not clear whether the desired answer format should match, or should have the value multiplied out. We have shown both ways.)

_____

Check

If we factor out the "greatest common factor," the given products can be written as ...

  (2×5×11) × (3² × 5 × 17)

  (2×5×11) × (7 × 11 × 13²)

You will notice that the right factors of each of these products have nothing in common. So, we have found the greatest common factor.

Answer:

welp umm no one can answer lol

Step-by-step explanation:

Answer:

64 child tickets

Step-by-step explanation:

Let's set this up a system of equations. Number child tickets is c and adults are a.

5.1c+8.8a=1144.8

c+a=157

We can now solve by elimination. Let's multiply the second equation by -8.8 so that we are left with the child tickets.

-8.8c-8.8a= -1,381.6

We combine the two equations.

-3.7c=-236.8

Divide both sides by -3.7

c=64

Have a wonderful day! :D

Answer:

1) S1 = 4·x² - 12·x + 9

S2 = 12·x² - 26·x + 12

S3 = 6·x² - 5·x - 6

2) S = 10·x² - 33·x + 27

Step-by-step explanation:

The length x in cm > 1.5

Segment AB = 2·x - 3, segment BC = 4·x - 6, segment AD = 2·x + 3 and segment BE = 4·x + 1

1) a) The area of the right triangle ABC = S1 = 1/2 × Base × Height

The base of the triangle ABC = Segment BC = 4·x - 6

The height of the triangle ABC = Segment AB = 2·x - 3

Therefore, The area of the triangle ABC = S1 = 1/2 × (4·x - 6) × (2·x - 3) = 1/2 × (8·x² - 12·x - 12·x + 18) = 4·x² - 12·x + 9

S1 = 4·x² - 12·x + 9

b) The area of the rectangle CBFG = S2 = Base × Height

The base of the rectangle CBFG = BC = 4·x - 6

The height of the rectangle CBFG = BF = 3·x - 2

The area of the rectangle CBFG = S2 =(4·x - 6) × (3·x - 2) = 12·x² - 8·x - 18·x + 12

The area of the rectangle CBFG = S2 = 12·x² - 26·x + 12

S2 = 12·x² - 26·x + 12

c) The area of the trapezoid ADEB = S3 = 1/2 × (Long side + Short side) × The height of the trapezoid ADEB

The long side of the trapezoid ADEB = BE = 4·x + 1

The short side of the trapezoid ADEB = AD = 2·x + 3

The height of the trapezoid ADEB = AB = 2·x - 3

The area of the trapezoid ADEB = S3 = 1/2 × (4·x + 1 + 2·x + 3) × (2·x - 3) = 6·x² - 9·x + 4·x - 6

∴ The area of the trapezoid ADEB = S3 = 6·x² - 5·x - 6

S3 = 6·x² - 5·x - 6

2) S = S1 + S2 - S3 = 4·x² - 12·x + 9 + 12·x² - 26·x + 12 - (6·x² - 5·x - 6) = 10·x² - 33·x + 27

Answer:

1/1 or 1

Step-by-step explanation:

Answer:

1 or 1/1

Step-by-step explanation:

Answer:10

Step-by-step explanation:

Answer:

2a

Step-by-step explanation:

up at the top is the answer

Answer:

[tex]\frac{2}{3} * 12.33=8.22[/tex]

Step-by-step explanation:

Given

Two-thirds times 12.33

Required

Solve

Two-thirds means [tex]\frac{2}{3}[/tex]

Mathematically, Two-thirds times 12.33  implies

[tex]\frac{2}{3} * 12.33[/tex]

Solving further

[tex]\frac{2 * 12.33}{3}[/tex]

[tex]\frac{24.66}{3}[/tex]

[tex]8.22[/tex]

Hence:

[tex]\frac{2}{3} * 12.33=8.22[/tex]

Answer:

8.22 is your right answer! The person above me has it down cold! You should mark him brainliest! :)

Step-by-step explanation:

Answer:

[tex]\huge\boxed{-8+8i}[/tex]

Step-by-step explanation:

[tex]2(-36-3i)+(5+2i)(12-2i)\\\\\text{use the distributive property and FOIL}\\\\=(2)(-36)+(2)(-3i)+(5)(12)+(5)(-2i)+(2i)(12)+(2i)(-2i)\\\\=-72-6i+60-10i+24i-4i^2\\\\i=\sqrt{-1}\to i^2=-1\\\\=-72-6i+60-10i+24i-4(-1)=-72-6i+60-10i+24i+4\\\\=(-72+60+4)+(-6-10+24)=-8+8i[/tex]

The expression in the form of a + ib is

-88 + 8i

where a = -88 and b = 8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2(-36 - 3i) + (5 + 2i)(12 - 2i)

Remove the parenthesis.

-72 - 6i + 60 - 10i + 24i + 4

Add like terms.

-88 + 8i

This is in the form of (a + ib).

Where a = -88 and b = 8

Thus,

-88 + 8i is our final expression.

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Answer: D. P * (1 + 0.272/12)¹² + 96 = P * (1 + 0.303/12)¹²

Step-by-step explanation:

Credit Card A deal over the course of a year:

Payments are done per month so values need to be converted to monthly figures.

APR per month = 27.2%/12

Period = 1 year * 12 months = 12

= P * (1 + 27.2%/12)¹² + 96

Credit Card B deal over a year

= P * (1 + 30.3%/12)¹²

The Principal that will enable both cards to offer the same deal will therefore be:

P * (1 + 27.2%/12)¹² + 96 = P * (1 + 30.3%/12)¹²

Answer:

[tex]\sqrt{17.3}[/tex] = 4.159.....  so approx 4.2

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

7 1/4 + 9 3/4 = 17

6 1/4 + 5 1/2 = 12

17 + 12 = 29

Answer:

She drank 28,75 liters.

Answer:

Step-by-step explanation:

It expresses that one value will be lesser than the other.

The term 'less than' symbolically represented as '<'.

We can implement certain operations like comparing values, heights, and numbers.

For example, there are 3 pencils in one bag A, and 8 pencils in bag B.

When we compare the two, we can easily observe that bag A has fewer pencils than bag B.

Thus,

Pencils in Bag A       <         Pencils in Bag A

           3                     <                    8

Answer:

x = 9

Step-by-step explanation:

2x + 8 = 4x - 10 Given

2x + 8 - 2x = 4x - 10 - 2x Subtraction property of equality

8 = 2x - 10

8 + 10 = 2x - 10 + 10 Addition property of equality

18 = 2x

18 ÷ 2 = 2x ÷ 2 Division property of equality

9 = x Answer

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Solution  of the given equation 2x+8=4x-10 is x=9.

Solution of an equation are the values to the unknown variables that makes the equality in the equation true

Given equation is :

2x+8=4x-10,   consider it as equation (1)

To solve this equation firstly, we isolate the terms which contain x in the LHS and the constant terms in RHS.

Then, the equation will become:

2x-4x = -10-8

Solving the LHS and RHS:

-2x = -18

Divide both the sides by -2, we get:

x = -18/(-2)

x = 9

That means x=9 satisfies the given equation.

Hence, x=9 is the solution of the given equation.

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Answer:

16. (See the attachment)

Step-by-step explanation:

None

Answer:

it's just asking you to rearrange it into y=mx+c form

2y=2x-2

y=x-1

x+y=9

y = -x+9

Answer:

Personal observation.

Step-by-step explanation:

Worthy of note is to say that, it's is practically impossible to have a line of different people retell what they heard, saw or experienced in the same way. Because of the fact that human being differs, there's always a difference in the retelling of the story eventually. Everyone seems to retell the story in a manner they can relate to, in a manner of what they understand, and that's given rise to unreliability in personal observation. Not that they're wrong, nor that one is right than the other, but that they're just not reliable.

Answer: D, 1000 m^3.

Step-by-step explanation: We can find the volume by breaking down the surface area.

The formula for the surface area of a cube is 6*x^2 with x being the side length and 6 being the number of sides. Thus we can form the equation as follows:

600 = 6*x^2 - original equation

x^2 = 100 - divide both sides by 6

x = 10 - square root both sides

Thus, the side length is 10.

We can find the volume with the formula l*w*h or, in this case, x^3.

We know that x = 10, so x^3 must be 1000.

Thus, the answer is D, 1000 m^3.

Answer:

give the other guy brainliest please

Step-by-step explanation:

and yes it is 1000

Answer:

x = 10

Step-by-step explanation:

x = 10

Answer:

$16.32

Step-by-step explanation:

First you need to find how much each thing is going to cost.

So for 32 glue sticks, it will cost $44.80 because you multiply 32 by 1.40.

Next you need to find the cost of thebox of crayons, which is $18.88 because you multiply 32 by 0.59.

Then you add those two totals together and you get 63.68.

Lastly you subtract that from 80 to see how much money Ms. Blankenship has  leftover which is $16.32.

Hope this helps. :)

Answer:

The first 5 terms of the sequence are 2, 4, 8, 16 and 32.

Step-by-step explanation:

Given:

[tex]a_{1}[/tex] = 2

[tex]a_{n}[/tex] = 2[tex]a_{n-1}[/tex]   -----------------(i)

To get the first 5 terms of the sequence, substitute in turn, n = 1, 2, 3, 4, 5 into equation (i).

The first term (when n = 1) has been given as:

[tex]a_{1}[/tex] = 2

The second term (when n = 2) is given as:

[tex]a_{2}[/tex] = 2[tex]a_{2-1}[/tex]

[tex]a_{2}[/tex] = 2[tex]a_{1}[/tex]    (but [tex]a_{1}[/tex] = 2 )

=> [tex]a_{2}[/tex] = 2(2)

=> [tex]a_{2}[/tex] = 4

The third term (when n = 3) is given as:

[tex]a_{3}[/tex] = 2[tex]a_{3-1}[/tex]

[tex]a_{3}[/tex] = 2[tex]a_{2}[/tex]    (but [tex]a_{2}[/tex] = 4 )

=> [tex]a_{3}[/tex] = 2(4)

=> [tex]a_{3}[/tex] = 8

The fourth term (when n = 4) is given as:

[tex]a_{4}[/tex] = 2[tex]a_{4-1}[/tex]

[tex]a_{4}[/tex] = 2[tex]a_{3}[/tex]   (but [tex]a_{3}[/tex] = 8 )

=> [tex]a_{4}[/tex] = 2(8)

=> [tex]a_{4}[/tex] = 16

The fifth term (when n = 5) is given as:

[tex]a_{5}[/tex] = 2[tex]a_{5-1}[/tex]

[tex]a_{5}[/tex] = 2[tex]a_{4}[/tex]   (but [tex]a_{4}[/tex] = 16 )

=> [tex]a_{5}[/tex] = 2(16)

=> [tex]a_{5}[/tex] = 32

Therefore, the first 5 terms of the sequence are 2, 4, 8, 16 and 32.

Answer:

-a - b - 4c

Step-by-step explanation:

(a  - b)  -  (4a + 3c) - (c - 2a) = a - b - 4a - 3c - c + 2a

                                            = a - 4a + 2a  - b  - 3c - c  {Combine like terms}

                                            = -a - b - 4c

Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

[tex] \tan(41°) = \frac{26}{x} [/tex]

[tex]0.869 \times x = 26[/tex]

[tex]x = \frac{26}{0.869} [/tex]

Therefore, The value of x is 29.90.

Hope it helps...

Answer:

1/4x

4/x

128/x

Step-by-step explanation:

Brainliest pls Hit the thank you button

Answer:

perimeter = 18.81 units

area = 15 unit²

Answer:

. Negative infinity

. Negative infinity

Answer:

17460°

I hope it will be useful.

Answer:

27/.6=45 total in collection

45-27=18

18/3 per week=6 weeks

Step-by-step explanation:

The number of weeks until your collection is complete should be 6 weeks.

Since You purchase 3 action figures per week. You have 27 action figures, which is 60% of the total number of action

So here total collection should be

[tex]27\div 0.60[/tex] = 45

Now the number of weeks should be

[tex]= (45 - 27) \div 3[/tex]

= 6

hence, The number of weeks until your collection is complete should be 6 weeks.

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