Answers
Answer:
[tex]$\text{P(Choose Cab Once)}=\frac{4}{9} $[/tex]
Step-by-step explanation:
In the morning Elizabeth has three transportation options to work.
It is [tex]$\frac{1}{3} $[/tex] :
In the evening Elizabeth has the same three transportation options to go home.
It is [tex]$\frac{1}{3} $[/tex] again.
But if we consider that she will take the cab once, the options will change to [tex]$\frac{2}{3} $[/tex] because now she can choose 2 options out of 3.
[tex]$\text{P(no cab) }= \frac{2}{3} $[/tex]
In order to use the cab once, we have two options:
She will use the cab in the morning or she will use the cab in the evening:
First route (cab in the morning):
[tex]$\text{Route 1}=\text{P(Choose Cab) } \cdot \text{P(Choose another one)} $[/tex]
[tex]$\frac{1}{3} \cdot \frac{2}{3} $[/tex]
Second route (cab in the evening):
[tex]$\text{Rote 2}=\text{P(Choose another one) } \cdot \text{P(Choose Cab)} $[/tex]
[tex]$\frac{1}{3} \cdot \frac{2}{3} $[/tex]
We have two routes, so
[tex]\text{P(Choose Cab Once)}=\text{Route 1}+\text{Route 2}[/tex]
[tex]$\text{P(Choose Cab Once)}=\frac{1}{3} \cdot \frac{2}{3} +\frac{1}{3} \cdot \frac{2}{3} $[/tex]
[tex]$\text{P(Choose Cab Once)}=\frac{2}{9} \cdot \frac{2}{9} $[/tex]
[tex]$\text{P(Choose Cab Once)}=\frac{4}{9} $[/tex]
Related Questions
There are twelve inches in one foot, creating the equation y = 12x. If a door
frame is 6.5 feet tall, how many inches tall is it?
Answers
Answer:
78 inches.
Step-by-step explanation:
By definition, a foot is equal to 12 inches. That is modeled by the equation you wrote, y = 12x, where x is the amount of feet.
Substitute 6.5 for x. y = 12*6.5 = 78 inches.
I hope this helps!
A reindeer runs
20 1/4 miles in 3 hours. At that rate, how many miles does it run in 1 hour?
-must haves...
right answer.
makes sense.
step by step.
^can you guys please help me make sure I got my answer right, thank youu;)
(choices of the answers: 3 1/4; 6 3/4; 12 1/4; 60 3/4)
Answers
Answer:
6 3/4 miles
Step-by-step explanation:
We can use ratios to solve
20.25 miles x miles
------------------ = ------------
3 hours 1 hours
Using cross products
20.25 * 1 = 3x
Divide each side by 3
20.25 /3 = x
6.75 = x
Changing to a fraction
6 3/4
you and six friends go to a movie. the tickets cost $7.50 each. you each buy a drink for $2.00 and a box of popcorn for $3.75. write an expression that represents the total amount of money spent. then evaluate the expression.
Answers
7.25+3.75+2.00 = $13
7.25+3.75+2.00x6 = $78
78/6 = 13
ignore circled one and work it out please
Answers
Answer:
a. [tex]\frac{(x-7)}{x^2+x-30}[/tex]
Step-by-step explanation:
[tex]\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}[/tex]
Trayvonn had 60 followers on instagram last week. now he has 12. what is the percent change?
Answers
Answer:
20%
Step-by-step
60/x%=12
12 is 1/5 of 60
1/5=20%
Plzzzz help
Plzz help
Answers
Answer: It starts at 2.5, and ends at 8.5.
Step-by-step explanation:
Answer:
range = 6
Step-by-step explanation:
The range = maximum value - minimum value
maximum value = 8.5 and minimum value = 2.5 ( indicated by the dots )
range = 8.5 - 2.5 = 6
Write as a product
(a+1)^3+x^3
Answers
Answer:
Variables
Any lowercase letter may be used as a variable.
Exponents
Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses.
Parentheses and Brackets
Parentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression.
Multiplication, Addition, and Subtraction
For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).
Order of Operations
The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not currently supported; attempts to use the / symbol will result in an error.
Division, Square Root, Radicals, Fractions
The above features are not supported.
Step-by-step explanation:
8. If Rocky Massimo's credit card has a $1,329.64 balance and he charged $528.44 in new purchases, what is the new
balance?
A $1,972.32
B $1,867.45
C$896.45
D$1,858.08
NEED ANSWERS
Answers
Answer:
D: $1,858.08
Step-by-step explanation:
if u add $1,329.64 and $528.44 then you get $1,858.08
The table shows the proportional relationship between the time in hours (h) Sara babysits and the amount in dollars (a) Sara earns babysitting.
h a
2 8
3 12
4 16
5 20
The equation a = 5h shows the relationship between the amount in dollars (a) Abbey earns babysitting and the time in hours (h) Abbey babysits.
Which statement correctly identifies who earns more and how much more she earns?
A
Sara earns $1 more per hour than Abbey.
B
Sara earns $4 more per hour than Abbey.
C
Abbey earns $1 more per hour than Sara.
D
Abbey earns $5 more per hour than Sara.
Answers
Answer:
C
Step-by-step explanation:
The table shows that Sara earns 4 dollars per hour. The equation shows that Abbey earns 5 dollars per hour.
I hope that helps. If there are any questions left, just comment:)
Please mark me brainliest (it gets you 10 points back btw)
Evaluate t - u/v when t = -1, u = -3, and v = 1/2.
P.S. it’s not multiple choice.
Answers
The answer would be 5.
To subtract fractions, find the LCD and then combine.
Hope this helps !
Answer:
5
Step-by-step explanation:
What is the volume, in cubic in, of a cylinder with a height of 8in and a base radius of 2in, to the nearest tenths place?
Answers
Answer:
Step-by-step explanation:
volume of cylinder =[tex]\pi r^{2} h[/tex]
=3.14 * 2*2*8
=3.14*32
=100.48 cubic in
hope it helps .....
The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.
Calculation of the volume:Since the height of 8in and a base radius of 2in,
So here the following formula should be used
We know that
Volume of the cyclinder
[tex]= \pi r^2h\\\\= 3.14\times 2\times 2\times 8\\\\[/tex]
= 100.48 cubic inches.
hence, The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.
Learn more about volume here: https://brainly.com/question/14010084
How do I work out this question (explanation and answer please)
Answers
Answer: Each friend will pay £3.75
Step-by-step explanation:
4 friends pay £15, 12 will pay
12/4 x 15 = £45
Each will pay 45/12 = £3.75
which solid does the net form? picture below
A hexagonal prism
B hexagonal pyramid
C rectangular prism
D rectangular pyramid
Answers
Answer:
B
Step-by-step explanation:
hexagonal pyramid
6 SIDES,
A PYRAMID
Lina owns 300 shares of General Motors Company. She receives annual dividends of $0.54 per share. How much will she received in dividend payments? *
Answers
Answer:
The total payment is $162.00
Step-by-step explanation:
Take the number of shares time the amount per share
300 * .54
162
The total payment is $162.00
What is the value of x in the equation 2.5-0.25x=-3?
-22
-1.1
1.1
22
Answers
The value of X is 22
look at the attached picture
Hope it will help you
Good luck on your assignment
The value of x in the equation is 22.
What is the value of x?In order to determine the value of x in the equation, take the following steps:
Combine similar terms: 2.5 + 3 = 0.25xAdd similar terms: 5.5 = 0.25xDivide both sides of the equation by 0.25: 5.5 / 0.25 = 22To learn more about addition, please check: https://brainly.com/question/349488
What is the range of the function y=*/x+8?
-00
-8
osy<00
2 sy<00
Answers
Answer:
D.
Step-by-step explanation:
(-∞, ∞) is the range of the function y = f(x) = x/2 + 8.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function y = f(x) = x/2 + 8 is a linear function with slope 1/2 and y-intercept 8.
As x varies from negative infinity to positive infinity, the value of f(x) also varies from negative infinity to positive infinity.
Therefore, the range of the function is all real numbers, that is:
y ∈ (-∞, ∞)
In interval notation, this can be written as (-∞, ∞)
Hence, (-∞, ∞) is the range of the function y = f(x) = x/2 + 8.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ7
Mario earns money mowing his neighbors' lawns.
The revenue for mowing x lawns is (X) = 25x.
Mario's cost for gas and the mower rental is (x) = 6x + 15.
His profit from mowing x lawns is p(x) = (r- c)(X). What is p(x)?
A. p(x) = 31x+15
B. p(x) = 19x - 15
C. p(x) = 19x+ 15
O D. p(x) = 31x- 15
SUBMIT
Answers
Answer:
His profit from mowing x lawns is 19x-15
Step-by-step explanation:
Revenue for mowing x lawns = 25x
Cost for gas and the mower rental = 6x+15
We are supposed to find His profit from mowing x lawns
p(x) denotes His profit from mowing x lawns
Profit = Revenue - Cost
So,p(x)=25x-(6x+15)
p(x)=25x-6x-15
p(x)=19x-15
So, Option B is true
Hence His profit from mowing x lawns is 19x-15
Which of the following was a key cause of World War II?
O A. The establishment of alliances between Japan, Russia, and Great
Britain
O B. The dangerous and aggressive expansion of totalitarian nations
O C. The Soviet Union's efforts to spread communism around the world
D. The assassination of Archduke Franz Ferdinand by Serbian
nationalists
SUBMIT
Answers
Answer:
c. the dangerous and aggressive expansion of totalitarian nation
Step-by-step explanation:
Oscar walked at the same rate for 10.5 miles. He
completed his walk in 3 hours. What was Oscar's
rate, in miles per hour, during his walk?
Answers
Answer:
Oscar walked at the same rate for distance D = 10.5 miles.
He completed his walk in time T = 3 hours.
=>Oscar's rate, in miles per hour, during his walk:
R = D/T = 10.5/3 = 3.5 (mile/hour)
Hope this helps!
:)
If you have how many miles he walked and the time he completed it in; you can just divide the miles by the time to get the rate of how fast he walked those miles. This is because you have an overall mile rate and time you just need to figure out how many miles per hour which is why you divide. Think of it as a ratio 10.5:3 vs 3.5:1. Try to get the right side of the ration down to 1 by dividing both sides by the right side.
Hope this helps, sorry I’m bad at explaining
Amber's mean mark on five tests is 80.
Her marks on four of these tests are 68, 81, 74 and 89.
Work out her mark on the fifth test.
Answers
Answer:
The answer is 88.
Step-by-step explanation:
68+81+74+89+x/5=80
312+x/5=80
312+x=80*5
312+x=400
x=400-312
x=88
Answer:
88
Step-by-step explanation:
The mean is the total sum of all the marks divided by how many there are.
68+81+74+89=312 Total of 4 tests
80×5 = 400 Total marks on 5 tests
400-312 = 88 Total marks on 5 tests - Total marks on 4 tests = 1 test
68+81+74+89+88 = 400
Use the commutative or associative property to simplify the expression.
1/3(3y)
Answers
Answer:
y
Step-by-step explanation:
Associative property is when we change the order of the bracket / can solve any order
So 1/3(3y)
= (1/3x 3)y
= 3/3y
= 1y or simply y
The ratio of boys to girls at Jackie Chan high school is 5:3. If there are a total of 250 boys in the school how many girls are in the school?
Answers
Answer:
150
Step-by-step explanation:
As the ratio is 5:3 ,
Number of boys / number of girls = 5 / 3
250 / number of girls = 5 / 3
Number of girls = 250 × 3/5
Number of girls = 150
Which is the graph of the function f(x) = x3 – x2 – 17x - 15?
Answers
Answer with Step-by-step explanation:
We are given that a function
[tex]f(x)=x^3-x^2-17x-15[/tex]
We have to find the graph of the given function.
y-intercept:It is that value of y where the graph cut the y- axis.
Let
[tex]y=f(x)=x^3-x^2-17x-15[/tex]
Substitute x=0
Then, we get
[tex]f(0)=-15[/tex]
y-intercept of the graph=-15
x- intercept: It is that value of x where the graph cut the x- axis.
Substitute y=0
[tex]x^3-x^2-17x-15=0[/tex]
Substitute x=-1
[tex]-1-1+17-15=0[/tex]
Therefore,x=-1 is a solution of given equation.
[tex](x+1)(x^2-2x-15)=0[/tex]
[tex](x+1)(x^2-5x+3x-15)=0[/tex]
[tex](x+1)(x(x-5)+3(x-5))=0[/tex]
[tex](x+1)(x+3)(x-5)=0[/tex]
[tex]\implies x=-1,-3,5[/tex]
Hence, the x-intercept are
-3,-1 and 5
Answer:b on edg 2020
Step-by-step explanation:
ONE HUNDRED POINTS AND BRAINIEST! The table shows the grades earned by students in Mr. Rawson class on a math test.
Test grades
---------------------------------------------------------------
| 75.8 | 80.5 | 85.6 | 90.1 | 78.2 |
---------------------------------------------------------------
| 81.6 | 89.9 | 84.2 | 74.1 | 92.5 |
----------------------------------------------------------------
| 97.3 | 72.2 | 96.5 | 80.8 | 88.3 |
-----------------------------------------------------------------
| 94.0 | 87.9 | 76.9 | 93.7 | 73.5 |
-----------------------------------------------------------------
| 84.5 | 86.1 | 88.3 | 83.7 | 85.4 |
-----------------------------------------------------------------
A. Should the data be shown as a bar graph or a histogram?
B. Make an appropriate graph for the data. Be sure to label your graph.
Answers
Answer:
Histogram
Step-by-step explanation:
A histogram because it's more appropriate to calculate numbers like these. Unfortunally I can't make a whole graph for you tho but if you want an example of histogram this is one
Which table has a constant of proportionality between y and x of 4?
Answers
Answer:
Answer A
Step-by-step explanation:
16 / 4 = 4
36 / 9 = 4
64 / 16 = 4
Note that the symbol / is the equivalent of the division sign in math.
Answer:
A <3
Step-by-step explanation:
You are given the function h(t)=t2+2t+1. Find h(−2). h (-2)=
Answers
Answer:
h(-2) = 1
Step-by-step explanation:
h(t)=t^2+2t+1
h(-2) = (-2)^2 +2(-2) +1
= 4 -4 +1
= 1
Answer:
-12
Step-by-step explanation:
FInd the legth of side AB. Give your answer to 1 decimal place
Answers
Answer:
Hey love, be sure to add a photo! i will edit my answer once you do so :D
What is the equation of the parabola with focus (-2, 2) and directrix y = -1?
Answers
Answer:
(x+2)^2=6(y-1/2)
Step-by-step explanation:
Which shape has only acute angles?
Answers
Answer:
Triangle
Step-by-step explanation:
Pls mark as brainliest
Answer:
triangle
Step-by-step explanation:
The rectangle and arrow both have right angles, so they are crossed out. The pentagon has obtuse angles, so it is also not the answer
which linear inequality is represented by the graph?
Answers
Answer:
y ≥ [tex]\frac{1}{3}[/tex]x - 1
Step-by-step explanation:
First, determine the slope of the line. We can see that the slope is [tex]\frac{1}{3}[/tex], because the slope has less than 1 y interval per every x interval. This means that the line is less steep. There are only 2 slope choices, [tex]\frac{1}{3}[/tex], -[tex]\frac{1}{3}\\[/tex], and 3. We can tell that the slope is positive, but it must be [tex]\frac{1}{3}\\[/tex] because it is clearly less steep than a 3 slope line.
Now, look at the portion that is shaded. It is above the line, and this means that y is greater than the equation given. We can tell it is greater than or equal to, because the line that represents the equation is shaded as well. If it was only greater than and not equal to, the line would not be shaded.
Hope this helps ! :) Please feel free to ask me any questions!
