NO LINKS!!! THIS IS NOT MULTIPLE CHOICE!!!
When you list all of the possible outcomes in a sample space by following an organized system (an orderly process), it is called a systematic list. There are different strategies that may help you make a systematic list, but what is most important is that you methodically follow your system until it is complete.
To get home, Renae can take one of 4 buses: #41, #28, #55, or #81. Once she is on a bus, she will randomly select one of the following equally likely activities: listening to her MP3 player, writing a letter, or reading a book.

a. Create the sample space of all possible ways Renae can get home and do one activity by making a systematic list.

b. Use your sample space to find the following probabilites:
i. P(Renae takes an odd-numbered bus)
ii. P(Renae does not write a letter)
iii. P(Renae catches #28 bus and then reads a book)

c. Does her activity depend on which bus she takes? Explain why or why not.

Step-by-step explanation:

1 plus 1 equals 2

It's addition so u just add

1 + 1 = 2

Pls mark me brainiest

Answer:

Axis of symmetry:  x = 5

Vertex form:  y = -4(x - 5)² + 3

Step-by-step explanation:

Given ordered pairs: (2, -33)  (3, -13)  (4, -1)  (5, 3)  (6, -1)

Axis of Symmetry

As this is a parabola, it will be symmetrical.  

To determine the axis of symmetry, identify two ordered pairs that have the same y-values and find their midpoint.

Two ordered pairs with the same y-value:  (-4, 1)  and  (6, -1)

Midpoint of x = 4 and x = 6 is:  x = 5

Therefore, the axis of symmetry is x = 5

Vertex form

Vertex form of a quadratic equation:  y = a(x - h)² + k

(where (h, k) is the vertex)

The axis of symmetry is the x-value of the vertex of the parabola.

As we have been given the point when x = 5, the vertex is:  (5, 3)

Substituting this into the formula:

⇒ y = a(x - 5)² + 3

To find the value of a, substitute any of the other points into the formula and solve for a.

Using (4, -1)

⇒ a(4 - 5)² + 3 = -1

⇒ a(-1)² = -4

⇒ a = -4

Therefore, the vertex form of the parabola is:

y = -4(x - 5)² + 3

Answer:Since we know the boat uses 25 gallons of gas per 64 miles, we can divide 64 miles by 25 gallons to get the rate of gallons per hour.

64 ÷ 25 = 2.56 gallons of gas every hour.

Using this information, we can multiply the amount of gas used for one hour, 2.56 gallons, by the 125 gallons of gas that the problem suggests, 125, to find the number of miles the boat can travel on the amount of gas.

2.56 x 125 = 320 miles

Answer: The boat can travel 320 miles on 125 gallons of gas.

Answer:

See below ~

Step-by-step explanation:

1. D. cylinder

2. A. pyramid

3. E. rectangular prism

4. C. cone

5. F. cube

Answer:

20cos(39) or  15.543 (3 d.p.)

Step-by-step explanation:

The table shows a data for an antenna that revolves at exactly twice the rate of the antenna described in the graph is Table D.

The formula to calculate the rate will be:

= Change in revolution/Change in time

The rate of the given antenna will be:

= (60 - 30)/(4 - 2)

= 30/2

= 15

Also, the rate of antenna 1 is 23, antenna 2 is 25, antenna 3 is 2. The rate for antenna 4 will be:

= (720 - 660)/(24 - 22)

= 60/2

= 30

It can be seen that 30 is double of 15.

Therefore, table D revolves at exactly twice the rate of the antenna.

Learn more about rate on:

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Answer:

20

Step-by-step explanation:

Answer:

B. By understanding your own emotions

Step-by-step explanation:

Other options seem unrealistic so B would be best.

Answer:

-30

Step-by-step explanation:

Apply the formula

[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc[/tex]

0(0)-6(5)

-30

Answer:

a reflection across the x axis

Step-by-step explanation:

triangle ABC is reflected across the x axis to create triangle DEF
we know this because the triangles are essentially mirrored about the x axis

Answer:

1.1458

2.

3.14.14 cm2

4.20035

di ako sure correct me if i wrong

The area of the figure formed by the square and semicircle is T = 22.28 cm²

A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.

A square is a 4 sided polygon where all the sides are of equal length.

The area of the square is the square of any one of its side

Let a be the side of the square

Area of the square = a²

Given data ,

Let the area of the square be represented as A

Now , the value of A is

Let the area of the semicircle be S

Let the total area of the figure be T = S + A

where A = ( 4 )² = 16 cm²

And , S = ( πr² ) / 2

S = 3.14 x ( 2 )² / 2

S = 6.28 cm²

So , the total area T =6.28 cm² + 16 cm² = 22.28 cm²

Hence , the area of the figure is T = 22.28 cm²

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The complete question is attached below :

The figure shown is formed by a square and a semicircle. Line segment BC is 4 cm. Find the area of the figure.

A) 22.28 cm2

B) 22.542

C) 20.56 cm2

D) 32.642

Answer:

g(3) = 0. g(-5) = 2. g(0) = -3

Step-by-step explanation:

simply put whatever is inside the brackets, into where t is in the equation

e.g:

|t| - 3 for g(3) is: |3| - 3 = 0

the two lines around t just mean that whatever is inside you should always turn positive. so |-1| = 1 and |-3 + 1| = 2

Answer:

Area = 226.1 ft^2

and circumference = 61.7 ft.

Both to the nearest tenth.

Step-by-step explanation:

The area of shaded part

= 1/2 *3.14 r^2

= 1/2 * 3.14 * 12^2 = 226.1 ft^2.

Circumferences of the shaded part = diameter + length of the semicircle

= 2 *r + 3.14 * r

= 2*12 + 3.14 * 12

= 61.68 ft.

Answer:

-0.182

Step-by-step explanation:

Given expression:

It should be noted that;

1. Positive integer + (Negative integer) = Positive integer - Positive integer

2. Positive integer - (Negative integer) = Positive integer + Positive integer

Our case is point 1. Therefore,

Answer:

13

Step-by-step explanation:

we us the pythagorean theorem

sqrt( 144 + 25) = 13

Answer:

Step-by-step explanation:

The relevant area and volume formulas are ...

  A = 2(LW +H(L +W))

  V = LWH

When there are multiple instances of the calculations to be done, it is convenient to let a spreadsheet do them. The results are attached.

Figure A has the larger area.

Figure B has the larger volume.

__

Additional comment

The more "cube-like" the prism is, the less area it will have for the same volume. Here, package B is more "cube-like" than package A. (The ratio of largest-to-smallest dimensions is smaller for package B.)

Answer:

140000

Step-by-step explanation:

Hewo Yuri-san here Allow me to help! :3

Answer:

-140,000

Step-by-step explanation:

Here's a trick I learned in 5th grade.

You see all the zero's behind the number 10,000 just add them onto the back of the number you're mutliplying with and it gives you the answer.

In this case, we have the number 10,000 with 4 zero's and we're going to add that to the back of 14 which gives us the answer 140,000  And they both have 4 zero's. :)

Therefore, the answer is 140,000

Hope this Helps!

Have a great day!

-Yuri-san

[tex]~~2x^2-2.9x-3.6\\\\=\dfrac{20}{10}x^2 - \dfrac{29}{10} x-\dfrac{36}{10} \\\\=\dfrac 1{10} (20x^2 -29x -361)\\\\=0.1(20x^2-29x-36)\\\\=0.1(20x^2-45x+16x-36)\\\\=0.1[5x(4x-9)+4(4x-9)]\\\\=0.1(5x+4)(4x-9)\\\\\text{Where,}~ p=5, ~ q=4,~ r=4~,s=-9\\\\\text{Hence,}~ \\\\p+q+r+s \\\\ = 5+4+4 -9 \\\\=13-9 \\\\ =4[/tex]

The value of  p + q + r + s in the equation 0.1{(5x + 4)(4x - 9)}.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, 2x² - 2.9x - 3.6.

Now, 0.1(20x² - 29x - 36).

= 0.1{4x(5x + 4) - 9(5x + 4)}.

= 0.1{(5x + 4)(4x - 9)}.

∴ p + q + r + s = 5 + 4 + 4 - 9.

p + q + r + s = 4.

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Answer:

i dont know what will i do that plss help me

Answer:

7a is not a factor because it doesnt divide into anything.

7a is not a term because it is not only the variable.

3 is a constant because it is a number in the expression.

7a is not a coefficient because it is not just the number.

8b and 5b are like terms because they have the same variables.

None of these are true Thats false because some of the answers are right

80 donuts were made

i hope this helps !

Answer:

16/27

Step-by-step explanation:

Formula for probability:

favourable outcomes/possible outcomes

using this we can find the answer.

let's first count all the consonants. there are 16 consonants and 27 total letters. that means that your answer would be 16/27.

Answer:

f(x) = |x - 2| - 2

Step-by-step explanation:

Based on the shape of the graph, it's an absolute value function.

so the template for it is f(x) = |x|

From there, you can make some additions to show how much the graph has shifted from the template equation

since the graph went over to the left by 2 units and down by 2 units, this is added into the equation as follows:

f(x) = |x - 2| - 2

Answer:

30 degrees

this is a guess but an educated one because the total angle adds up to 180 deg so one i assume is around 100 plus 50 plus 30 makes sense

Answer:

164

Step-by-step explanation:

[tex]20 + 12 \div \frac{1}{4} \times 3 \\ \\ = 20 + 12 \times 4 \times 3 \\ \\ = 20 + 144 \\ \\ = 164[/tex]

Answer:

x = 10/-6 or 5/-3

Step-by-step explanation:

2x - 8 + 3x + 2 = 4x + 10 + 3x - 6

x - 6 = 7x + 4

+6            +6

---------------------

x = 7x + 10

-7x  -7x

---------------------

-6x = 10

x = 10/-6 or 5/-3

I hope this helps!

Answer:

A. 28/253

B. 60/253

Step-by-step explanation

A. first step is to add all the grapes up which = 23

then you would put the

green grapes/ the total which would be 8/23

since henry ate one grape you would subtract 8-1 and then 23-1 and you would get 7 and 22

then you would put 7/22 and multiply 8/23 which gets you 28/253

B. first you put red grapes over total grapes which are 15/23

then,

you would do the green grapes which are 8/22

you would multiply 15/23 and 8/22 which = 60/253

Answer:

[tex]11[/tex]

because [tex]5 + 6 = 11[/tex]

Answer:

the answer is 11

Step-by-step explanation:

the answer is 11 because 6 plus 5 equals 11