Martha, Lee, Nancy, Paul, and Armando have all been invited to a dinner party. They arrive randomly, and each person arrives at a different time.

a. In how many ways can they arrive?

b. In how many ways can Martha arrive first and Armando last?

c. Find the probability that Martha will arrive first and Armando last.

Show your work

Answers

Answer 1

Answer:

a) 120

b) 6

c) 1/20

Step-by-step explanation:

a) 5! = 120

b) (5 - 2)! = 6

c) 6/120 = 1/20


Related Questions

What number must each side of the equation 3/5x= 12 be multipled by to produce the equivalent equation x = 20?

Answers

Answer:

1

Step-by-step explanation:

First, find out what the product would be if you multiply 20 with the fraction:

(3 * 20)/5 = 60/5 = 12

12 = 12 ∴ (3/5)(20) = 12

As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.

.. Write the number word of 0.036​???

Answers

Answer:

zero point zero three six

A train travels 150 miles in three hours at the same rate how many miles will it travel in eight hours

Answers

Answer:400

Step-by-step explanation:

150 / 3 = 50 so 50 x 8= 400

ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!!!!

Write an equation involving absolute value for the graph.

Answers

Answer:

-3<lxl<5

Step-by-step explanation:

take least number than use x in absolute value bars than take highest number sorry if this is wrong I'm just a kid

A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?

Answers

Answer:

12

Step-by-step explanation:

3. The length of a rectangle is 20 meters long and the width is 15 meters. Find the
ratio of the length to the width of the rectangle. Then simplify the ratio.

Answers

Answer:

4/3 1.333 1 1/3

Step-by-step explanation:

A ball is thrown upward and outward from a height of 8 feet. The height of the ball, f(x), in feet, can be modeled by
f(x) = -0.1x² +0.6x+8
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c).
WEB
a. What is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is feet, which occurs feet from the point of release.
(Round to the nearest tenth as needed.)

Answers

Check the picture below.

let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)[/tex]

[tex]\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}[/tex]

pythagorean theorem to find the length of the hypotenuse in the triangle 16 30

Answers

Answer:

the answer is 34.

Step-by-step explanation:

PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 3

Answers

Problem 1

Answer: Choice A

[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]

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

Explanation:

The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.

a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to year

The 1.08 represents an increase of 8% because,

1.08 = 1 + 0.08 = 100% + 8% = 108%

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

Problem 2

Answer: Choice C

[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]

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

Explanation:

The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.

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

Problem 3

Answer: Choice C

30 feet; major axis

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

Explanation:

Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.

Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.

State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible

Answers

Answer:

  c) ASA

Step-by-step explanation:

Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)

What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360

Answers

Answer: 35°

Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.

I hope this helps!

-Notsonerdy

Y=1/3x-4 + Y=-7/3x+4

Answers

Answer:

-2

Step-by-step explanation:

if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]

the -4 and +4 cancel out to 0

and 1-7= -6

-6/3 is -2

three movie tickets cost 36$ at this same rate how much do 12 tickets cost

Answers

Answer:

$144

Step-by-step explanation:

Each ticket is $12.

is 7 a solution to 21-w<14?
(please answer asap!)

Answers

Answer:

no

Step-by-step explanation:

well, is 21-7 < 14?

Name.
Solve using
Substitution
L
y = 3x + 2
6x - 2y = 8

Answers

Answer:

No solution

Step-by-step explanation:

There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.

How much would you have to deposit today to have an accumulated amount 20,000 in 20 years if yearly interest is 4.75% compounded continuously?

Answers

The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34

Given data

Principal =?

Final amount = $20,000

rate = 4.75%

Time = 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 4.75/100

r = 0.0475 per year,

Then, solve the equation for P

P = A / (1 + r/n)^(nt)

P = 20,000.00 / (1 + 0.0475/12)^(12)(20)

P = 20,000.00 / (1 + 0.003958333)^(240)

P = $7,749.34

Learn more about Compounding interest at:

https://brainly.com/question/1570054

What are the prime numbers out of 4 5 6 7 8 9 ?

Answers

5 and 7

those are the prime numbers

Ella takes 1 3/5 hours to complete a
painting. Holly takes 3/4 of the time that
Ella takes. How long will Holly take to complete 5 paintings?

Answers

Answer:

6 hours

Step-by-step explanation:

FInding Holly's time of Ella's

Ella = [tex]1 \frac{3}{5}[/tex]

Holly = [tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]

Solve:

[tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]

[tex]= \frac{3}{4} \times1 \frac{3}{5}[/tex]

[tex]1\frac{3}{5} =\frac{8}{5}[/tex]

[tex]\frac{3}{4}\times \frac{8}{5}=\frac{24}{20}[/tex]

[tex]\frac{24}{20} =\frac{6}{5}[/tex]

Now, we can find how many hours it takes holly to complete 5 paintings:

[tex]\frac{6}{5}\times5[/tex]

[tex]=6[/tex]

Therefore, it will take Holly 6 hours to complete 5 paintings.

Mandy has 37 red markers and 24 green markers. She wants to place an equal number of markers on 4 tables. What is the greatest number of markers she could place on each table ? Explain please

Answers

Answer:

15 marker's

Step-by-step explanation:

37+24=61

61÷4=15.25

because she wants an even number of makers the answer is 15.

Do both of them for 50 points

Answers

Answer:

1) 7/12, 2) 7/24

Step-by-step explanation:

Just plug in the values of c and d.

1) given: c = -1 1/4, d = -1

1/3 * (-1 1/4) - (-1)^3 = -5/12 + 12/12 = 7/12

(-1^3 is -1 (there's a positive in front as well so the negatives cancel out and it's just 1) and then convert everything to a common denominator (which is 12). 1/3 times -1 1/4 becomes -5/12 when you multiple straight across).

2) given: c = 4 1/4, d = 1 1/2

1/3 * (4 1/4 - (1 1/2)^3) = 1/3 * (17/4 - 27/8) = 1/3 * (34/8 - 27/8) = 1/3 * 7/8 = 7/24

(use pemdas/order of operations and solve the exponent first, then the parentheses. 1 1/2^3 is 27/8, and 4 1/4 is 34/8. when you subtract you get 7/8, then you can multiply straight across with 1/3 and you get 7/24.)

Sabriana hiked along a trail that was 9.66 miles long she hated 4.2 miles every hour how many hours did it take Sabriana to finish hiking the trail

Answers

Answer:

3 hours

Step-by-step explanation:

Line’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?

Answers

Answer:

hi the answer to your question should be 50 miles

Step-by-step explanation:

hope this helps have a great day!

*Write each expression*
4) the difference of five and a number w
5) double a number
6) the sum of seventeen and a number y
7) twelve less than the product of m and two
8) eleven less a number

Answers

Answer:

5-w

2n

17+y

2m-12

n-11

(n stands for number)


For what value of x does 32X – 9^3x-4?

Answers

Answer: X = 4/61

Step-by-step explanation

find the inverse of f(x)=x^2-3x+2

Answers

Answer:

Step-by-step explanation:

y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]

Answer:

Step-by-step explanation:

f(x) = x² - 3x + 2

y = x² - 3x + 2

solve for x as a function of y

y - 2 = x² - 3x

complete the square by adding the square of half the x¹ coefficient to each side of the equation.

y - 2 + (-1.5)² = x² - 3x + (-1.5)²

      y + 0.25 = (x - 1.5)²

    [tex]\sqrt{y + 0.25}[/tex] = x - 1.5

                 x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]

now swap the x and y variables and revert to function notation

f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex]     domain is x ≥ -0.25

each input will have two outputs except where f(-0.25) = 1.5

Write the equation for the function graphed below

Answers

Answer:

Step-by-step explanation:

looks to be a parabola, so use vertex mode (h, k) =  (-1, 2)

y = a(x - h)² + k

y = a(x + 1)² + 2

another point on the curve seems to be (1, 6)

6 = a(1 + 1)² + 2

     1 = a

y = (x + 1)² + 2

or expand for standard form y = ax² + bx + c

y = (x² + 2x + 1) + 2

y = x² + 2x + 3

what is most likely to be represented by the number -40

Answers

Answer:

You tell me the question properly and i will edit this and put answer

Step-by-step explanation:

Until then bye

Answer:

Read Explanation Below

Step-by-step explanation:

So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)

1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.  

The sum of three consecutive even numbers is 36. What is the smallest numbers ?

Answers

Answer:

The numbers are 11,12,13

The smallest number is 11

Step-by-step explanation:

Let the first number be x

The next number is x+1

The third number is x+2

x+x+1+x+2 = 36

Combine like terms

3x+3 = 36

Subtract 3 from each side

3x+3-3 = 36-3

3x=33

Divide each side by 3

3x/3 = 33/3

x=11

The numbers are 11,12,13

The smallest number is 11

What is the exponential expression for the numerical expression 6·6·6·6·6? ​ 5·6^5​ 5^6. ​6^5. 30^5​



32 POINTS

Answers

The answer should be 6^5

plz help verbal expression ​

Answers

Answer:

3(9+r) = 27 + 3r

Sum = addition

Distributive property

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