Desmond lives in Melbourne and is taking a trip to Sydney. He can travel to Sydney and back in 333 different ways: by bus, cab, or train. Desmond chooses how to get to Sydney and back at random.
Which of these tree diagrams can be used to find all of the different ways that Desmond can get to Sydney and back?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Diagram A

(Choice B)
B
Diagram B
\text{B}= \text{Bus} \\ \text{C}= \text{Cab} \\ \text{T}= \text{Train}B=Bus
C=Cab
T=Train
Diagram A:

Diagram B:

Answer:

ferris wheel travel approx = 434.72 ft

Step-by-step explanation:

given data

wheel rotates = 9pi/8 radians

total height of the ferris wheel =  246 ft

solution

we can say here that height of the ferris wheel is same as the diameter of the wheel

and wheel is circular in shape

so we get here first radius of wheel that is

radius = half of diameter    ..........................1

put here value and we get

radius = 0.5 × 246

radius = 123 ft

and

wheel travel distance = length of arc by a angle of wheel rotates

so here length of arc will be

arc length = radius × wheel rotates angle   .....................2

put here value and we get

arc length  = 123 × [tex]\frac{9\pi }{8}[/tex]

arc length = 434.7178 ft

so ferris wheel travel approx = 434.72 ft

This is the formula you are looking for Logb x = Loga x/Loga b

Answer:

Step-by-step explanation:

Which statements are true? Check all that apply.

The total possible outcomes can be found using 52C5.

The total possible outcomes can be found using 52P5.

The probability of choosing two diamonds and three hearts is 0.089.

The probability of choosing five spades is roughly 0.05

The probability of choosing five clubs is roughly 0.0005.

Since it can be chosen in any order, we use combination and not permutation. The number of ways of choosing 5 cards from a group of 52 cards is 52C5.

The probability of choosing two diamonds and three hearts = [tex]\frac{^{13}C_2*^{13}C_3}{^{52}C_5} = 0.0086[/tex]  so the third one is not true.

The probability of choosing five spades = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005. The fourth statement is not true

The probability of choosing five clubs  = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005, the fifth one is.

So the answer is the first and fifth statement.

The probability of selecting a combination of cards is given by the ratio of

the ways of selecting the cards to the number of possible outcomes.

The true statements are;

Reasons:

First statement;

Number of cards in the deck of playing cards = 52

The number of possible outcome is given by the combinations of 5 that can be chosen from 52, as follows;

[tex]\displaystyle The \ \mathbf{number} \ of \ \mathbf{possible \ outcomes}} = _{52}C_5 = \frac{52!}{5! \cdot (52 - 5)!} = 2598960[/tex]

Therefore;

Third statement;

The number of ways of choosing two diamonds is found as follows;

[tex]\displaystyle Choosing \ two \ diamonds = _{13}C_2 = \mathbf{\frac{13!}{2! \cdot (13 - 2)!}} = 78[/tex]

The number of ways of choosing three hearts is found as follows;

[tex]\displaystyle Choosing \ three \ hearts = _{13}C_3 = \frac{13!}{3! \cdot (13 - 3)!} = 286[/tex]

The number of ways of choosing two diamonds and three hearts is found as follows;

[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \frac{_{13}C_2 \times _{13}C_3}{_{52}C_5} = 0.00858[/tex]

Therefore, the number of ways of choosing two diamonds and three hearts ≠ 0.089

[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \mathbf{\frac{_{13}C_2 \times _{13}C_3}{_{52}C_5}} \neq 0.089[/tex]

Fourth  statement;

[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]

Therefore;

[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \mathbf{\frac{_{13}C_5 }{_{52}C_5}} \neq 0.05[/tex]

Fifth statement;

[tex]\displaystyle Probability \ of \ choosing \ five \ clubs= \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]

Therefore;

The possible question options in the question are;

The total possible outcomes is given by ₅₂C₅

The total possible outcomes is given by ₅₂P₅

Probability of choosing 3 hearts and 2 diamonds is 0.089

The likelihood of choosing 5 spades is approximately 0.05

The likelihood of choosing 5 clubs is approximately 0.0005

Learn more about combinations and probability here:

https://brainly.com/question/25718474

Answer:

Yes, she can.

Step-by-step explanation:

12 < 5+8

Answer:

Step-by-step explanation:

No, she can't

Julie can't win because she has to read more than Emad so she has to read 13 books but she reads 8 books so she can't win

I hope it'll help you much

Thank you for asking

Answer:

47 pizzas

Step-by-step explanation:

Dave makes 6 pizzas in the first hour it is open and 3 pizzas each hour after that.

If the number of hours after the first hour  is represented as x, then the number of pizzas he makes after x hours is:

6 + 3x

Lauren makes 11 pizzas in the first hour and 3 pizzas each hour after that. Then:

11 + 3x

The pizzeria is open for 6 hours in all, that is, 5 hours after the first hour.

This means that:

x = 5

The total amount of pizzas that Dave and Lauren make is:

6 + 3x + 11 + 3x

=> 17 + 6x

Therefore, the total amount of pizza they make 5 hours after the first hour is:

17 + 6(5) = 17 + 30 = 47 pizzas

Answer:

2

Step-by-step explanation:

Answer:

75>5t

Step-by-step explanation:

Here is the information given:

75 is the maximum

5 per table

t is table

So, 75 is greater than or equal to the number of tables.

If 5 is the max seated at a table we know that it will be 5 people per table or 5t

Which gives us 75>5t

Furthermore, when solving we get t=15, when plugging this in the inequality becomes 75>75 which is true.

Hope this helps!

Work Shown:

B = p*(1+r)^t

B = 4530*(1+0.11)^5

B = 7,633.313442603 approximately

B = 7633.31                  round to the nearest cent

Answer:

Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.!!!!!!!!!

licze jako najlepsza odpoiedz!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Sample Answer: The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.

Step-by-step explanation:

Answer:

Antonyms. achromatic exhale spiny-finned fish extinguish hypopigmentation. Etymology.

Step-by-step explanation:

none but google

Answer:

If you mean char = a charred substance then you could have cool, extinguish, put out, smother, stifle or subdue.

Step-by-step explanation:

Google... everything's google

Answer:

The solutions are x = -6 or x = +2

Step-by-step explanation:

In this question, we are asked to get the series of the equation given. we can find this by equating what we have to zero

Mathematically, we proceed as follows;

(x +2)^2 -16 = 0

This can be rewritten as;

(x + 2)^2 - 4^2 = 0

we can then proceed to use the difference of two squares to finish this off

Thus, we have

(x + 2 + 4)(x + 2 - 4) = 0

(x + 6)(x-2) = 0

X + 6 = 0 or x-2 = 0

x = -6 or x = +2

Answer:

[tex]=\frac{4y}{y+3}[/tex]

Step-by-step explanation:

[tex]\frac{2y}{y-3}\cdot \frac{4y-12}{2y+6}\\\frac{4y-12}{2y+6}=\frac{2\left(y-3\right)}{y+3}\\\frac{4y-12}{2y+6}\\\mathrm{Factor}\:4y-12:\quad 4\left(y-3\right)\\4y-12\\\mathrm{Rewrite\:as}\\=4y-4\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}4\\=4\left(y-3\right)\\=\frac{4\left(y-3\right)}{2y+6}\\\mathrm{Factor}\:2y+6:\quad 2\left(y+3\right)\\2y+6\\\mathrm{Rewrite\:as}\\=2y+2\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}2\\=2\left(y+3\right)\\=\frac{4\left(y-3\right)}{2\left(y+3\right)}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{4}{2}=2\\=\frac{2\left(y-3\right)}{\left(y+3\right)}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{2\left(y-3\right)}{y+3}\\=\frac{2y}{y-3}\cdot \frac{2\left(y-3\right)}{y+3}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{2y\cdot \:2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}\\\mathrm{Cancel\:the\:common\:factor:}\:y-3\\=\frac{2y\cdot \:2}{y+3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4\\=\frac{4y}{y+3}[/tex]

Answer:

12/6

Step-by-step explanation:

Answer:

D  5sqrt(3)

Step-by-step explanation:

We can use the Pythagorean theorem to solve since the altitude is perpendicular to the base

a^2+b^2 = c^2

5^2 + a^2 = 10^2

25+a^2 = 100

a^2 =100-25

a^2 = 75

Taking the square root of each side

a = sqrt(75)

a = sqrt(25)sqrt(3)

a = 5sqrt(3)

Answer:

Step-by-step explanation:

D

Answer:

If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

Answer:

he do be running tho

Answer:

He burned a total of 735 calories.

Step-by-step explanation:

4 miles + 3 miles = 7 miles

105 calories/1 mile = 7 miles/ ? calories

105 calories times 7= 735 calories

Answer:112.5

Step-by-step explanation: multiply then all together length then width them height

Answer:

112.5

Step-by-step explanation:

i did the assignment

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

-2 - 10h = -11h - 20

+ 2

- 10h = -11h - 18

+ 11h

h = -18

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

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Step-by-step explanation:

-2-10h=-11-20, take -10 to the other side.

-2= -1-20, take 20 to the other side.

-18=-1h

-ve and -ve is pos.

h=18

positive 18

Answer:

$25.80

Step-by-step explanation:

40% = 40/ 100 = 4/10 = 0,4

There is a 40% discount, which means that the amount multiplied by more then 1 (for example 1,4) would increase the amount... That isn't right because it is a discount!

So you need to subtract the 40%, so (1 - 0.4 =) 0.6

The amount multiplied by 0.6 will be the correct amount, being $43 * 0.6 = $25.80 (rounded to the nearest cent).

The amount the item actually cost after the discount is $25.80

Answer:

Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.

-----

x-coordinate of B is -2, y-coordinate of B is 8

x-coordinate of B'

y-coordinate of B'

So

-----

x-coordinate of C is 6 and y-coordinate of C is 4

x-coordinate of C'

y-coordinate of C'

So

Conclusion:

The below are the TRUE statements:

(i) The coordinates of C' are (0.75, 0.5)

(ii) The scale factor is 1/8

(iii) The coordinates of B' are (–0.25, 1).

Read more on Brainly.com - https://brainly.com/question/10679054#readmore

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i got it correct

Answer:

5 (x-y)=15

2x-2y=6 and

y-x=-3

Step-by-step explanation:

first x-y=3, so you substitute x by y or y by X. anyway I substituted x by y. so x=y+3.

a. 5(x-y)

5[(y+3)-y] (first you substitute x by y+3.)

5 [y+3-y] ( then you remove the bracket.)

5[y-y+3] ( you collect like terms in the bracket.)

5 [3] (-y+y=0) so it means 5×3=15.

b. 2x-2y (like before you substitute x by y+3.)

2 (y+3)-2y

2y+6-2y (then you remove the bracket.)

2y-2y+6 (you collect like terms)

0+6=6. (because 2y-2y=0)

c. y-x

y-(y+3) ( you substitute x by y+3.)

y-y-3 (you remove the bracket)

0-3=-3 (because y-y=0)

Answer:

There are 15 girls

Step-by-step explanation:

Look at the picture

Answer:

C

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Part (i)

Compute the slope of the line through the two points (0,0) and (4,8)

m = (y2 - y1)/(x2 - x1)

m = (8-0)/(4-0)

m = 8/4

m = 2

The slope of this line is 2, so,

==============================================

Part (ii)

The two points we're working with are (4,8) and (6,8). The slope is...

m = (y2 - y1)/(x2 - x1)

m = (8-8)/(6-4)

m = 0/2

m = 0

Horizontal lines always have a slope of 0 to indicate no change in height.

==============================================

Part (iii)

Same idea as the previous parts. The endpoints are (6,8) and (9,14)

m = (y2 - y1)/(x2 - x1)

m = (14-8)/(9-6)

m = 6/3

m = 2

This piece also has slope 2. This piece is parallel to the first piece. Parallel lines have equal slopes but different y intercepts.

==============================================

Part (iv)

As you can see, with average velocity, all we care about are the starting and ending points. We aren't concerned at all with what happens in between.

Comparing the results for part (i) and part (iv)(b), we see that the velocity has gone down. This is due to the flat portion in which you aren't moving.

Answer:

28/50, or 56 percent.

Step-by-step explanation:

Divide the number of events (in this case it's tails) by the number of possible outcomes. This means to divide 28 by 50. Your answer will be 0.56. As a percent, this is 56 percent, which is the probability of the coin landing on tails.

Answer:

0.06

Step-by-step explanation:

3/47

Answer

$15.67

trust me I think this is it with the info I have got.

info=information true fact

Answer:

30

He has 6 options for 1st place and 5 for second place. Multiply the two and you get 30

Hope this helps :)

Answer:

$1,735.24

Step-by-step explanation:

"at time and a half" basically means 1.5

So, the overtime would be 1.5 times the normal hourly wage.

40 regular hours * $33.37 = $1334.8

8 overtime hours * (1.5 * $33.37) = $400.44

$1334.8 + $400.44 = $1735.24

So, the total weekly pay is $1735.24.

Answer:

-6

Step-by-step explanation:

10t = -30 + 5t, Inverse operations

'5t -5t. Subtract 5t from both sides

5t = -30. Divide by 5 both sides

/5. /5

t = -6

Answer:

54

Step-by-step explanation:

54x