1. Dr. Orchid has 9 paintings she wants to hang side by side on her wall.
(a) In how many ways can she arrange all 9 paintings? Show your work.
(b) If she only wants to display 4 of the paintings, in how many ways can she choose the paintings she
wishes to display? Show your work.
Answer:

1. Dr. Orchid Has 9 Paintings She Wants To Hang Side By Side On Her Wall.(a) In How Many Ways Can She

Answers

Answer 1

The number of ways to arrange the 9 paintings is 362880, and there are 126 ways to display only 4 out of the 9 paintings

Part A: The number of arrangements.

The number of paintings is given as:

n = 9

The number of arrangement is then calculated using:

n! = 9!

Evaluate the factorial

n! = 362880

Part B: The number of selection

To select 4 paintings from a total of 9, we make use of the following combination formula

Ways  = 9C4

Evaluate the above expression using a calculator

Ways  = 126

Hence, there are 126 ways to display only 4 out of the 9 paintings

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Related Questions

A salesperson earns a commission of $480 for selling $4000 in merchandise find the commission rate write the answer as a percentage

Answers

Answer:

[tex] \large{ \boxed{12\%}}[/tex]

____________________________________

[tex] \large{ \tt{G \: I \: V \: E \: N}} : [/tex]

[tex] \longrightarrow{ \tt{}}[/tex] Commission received : $ 480

[tex] \longrightarrow[/tex] Selling price of merchandise : $ 4000

[tex] \large{ \tt{ To \: Find : }}[/tex]

[tex] \longrightarrow[/tex] Commission rate

Let the commission rate be x %

[tex] \large{ \tt{SOLVING : }}[/tex]

[tex] \star \: \large{ \tt{x\% \: of \: 4000 = 480}}[/tex]

[tex] \longrightarrow \: { \tt{ \frac{x}{100} \times 4000 = 480 }}[/tex]

[tex] \longrightarrow{ \tt{40x = 480}}[/tex]

[tex] \longrightarrow{ \tt{x = \frac{480}{40} }}[/tex]

[tex] \longrightarrow{ \tt{x = 12\%}}[/tex]

Ya.yy!! We solved the question :D

_______________________________

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Which of the following graphs is not a function ?

Answers

d isn’t a function. Do the vertical line test. If it only passes once it is a function.

Cody wanted to play fetch with his dog. His dog had ten chew toys. Cody took six toys outside for his dog. Write a decimal to show what part of the toys is still inside.​

Answers

Answer:

60% :)

Step-by-step explanation:

6/10 = 0.6 x 100 = 60% :D

Have an amazing day!!

Please rate and mark brainliest!!

3) If the population of the United States increased to 420 million and the number of
representatives remained at 435, how many Americans, on average, would each
representative serve?

Answers

Answer:

About 965517 Americans.

Answer:

About 96,5517 people / representative

Step-by-step explanation:

420,000,000 / 435 = 96,5517.24 people per representative

What is the expanded form of 72 cubed?

[72x2]
{72x3}
[72x72]
{72x72x72}

Answers

Answer:

72 × 72 × 72

72³ is 72 cubed, the tiny 3 indicates that we multiply 72 by itself 3 times.

What is the value of 2 ÷ (4 ÷ (6 ÷ (8 ÷ 10)))?

Answers

Answer:

1.66

---------

First find the value of 8 divided by 10 because they are in parentheses.

[tex]10/8 = 1.25[/tex]

Divide 6 by 1.25

[tex]6 / 0.8 = 4.8[/tex]

Then, divide by 4

[tex]4.8 / 4 = 1.2[/tex]

Finally, divide 2 by 1.2

[tex]2 / 1.2 = 1.66[/tex]

The answer should be 1.66 if you do the problem right to left(because of the order of operations).

your expenses total $5.600 per month. you charge$25 per hour and have contracts for steady work that total 45 hours per week for 52 weeks of the year. How much does this hourly rate cover your expenses?

Answers

Answer

58,432 money you have leftover or $8,700 still left to pay.

Step-by-step explanation:

After knowing the contracts for steady work is 45 hours per week I just divided it by the days she works a week, which is most likely 5 and got 9 hours a day, then did $25 * 9 to get the payment per day which is $225 then multiplied it by 5 for the days working in a week, then multiply it again by 52 to get $58,500 as your payment and if your expenses is $5.6 per month (5.6*12=67.2) then your payment cover all of it and you still have $58,432.8 remaining, but if the expenses are $5,600 a month (5,600*12=67,200) then you cover most of it but still have to pay $8,700

Solve the equation n2 − 29 = 260 by using square roots.
A. n = ±17
b. n = ±19
c. no real solutions
d. n = ±18

Answers

Answer:

Option A, [tex]n =[/tex] ± [tex]17[/tex]

Step-by-step explanation:

Step 1:  Add 29 to both sides

[tex]n^2 - 29 = 260[/tex]

[tex]n^2 - 29 + 29 = 260 + 29[/tex]

[tex]n^2 = 289[/tex]

Step 2:  Square root both sides

[tex]\sqrt{n^2} = \sqrt{289}[/tex]

[tex]n =[/tex] ± [tex]17[/tex]

Answer:  Option A, [tex]n =[/tex] ± [tex]17[/tex]

The sum of three numbers is 13. The sum of twice the first number, 5 times the second number, and 6 times the third number is 67. The difference between 5 times the first number and the second number is 7. Find the three numbers

Answers

Answer: 2,3,8

Step-by-step explanation:

if,

x+y+z=13

2x+5y+6z=67

5x-y=7

Solve [x+y+z=13 2x+5y+6z=67] to find: -3x+z=2 and keep

|

x+y+z=13

5x-y=7

6x+z=20 and -3x+z=2

z=8

x=2

y=3

Susan gave of a pizza to her brother, Joe. Then, she gave of what was left to her mother, and ate the rest herself. What percent of the pizza did Susan eat?
A.
6.25%
B.
5.625%
C.
93.75%
D.
56.25%

Answers

Your answer is A. 6.25%

consider a protein that has 120 amino acids. how many tries, on average, would it take to randomly select the 120 amino acids in the correct sequence? Use the given conversion factor from tries to seconds to find how long it would take to complete the average number of random tries calculated in the previous problem.

Answers

With the conversion factor from tries to seconds, the time taken to to complete the average number of random tries is 24 minutes.

How to calculate the number of tries?

Your information is incomplete. Therefore, an overview will be given based on the values. Let's assume that the number of tries for 10 amino acids is 2 minutes.

Therefore, the duration for 120 amino acids will be:

= (120/10) × 2

= 12 × 2

= 24 minutes.

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A turtle lives in a garden and a hedgehog lives in the woods. They leave their homes at the same time walk toward each other and meet in 5 hours. The turtle walks 10 meters per hour slower than the hedgehog. If the turtle had left home 4 1/2 hours earlier than the hedgehog had left his home, the two would meet 150m from the woods. Find the distance between the garden and the woods. PLEASE EXPLAIN WHY.

Answers

Based on the calculations, the distance between the garden and the woods is equal to 383 meters.

How to calculate the distance.

First of all, we would assign a variable to the different speeds of the turtle and hedgehog as follows:

Let the turtle's speed be S₁.Let the hedgehog's speed be S₂.

Mathematically, distance is given by this formula:

Distance = speed × time

Translating the word problem into an algebraic expression, we have;

If they both meet in 5 hours:

D = (S₁ + S₂) × 5  

D = 5S₁ + 5S₂      ......equation 1.

Turtle's speed is 10 meters per hour slower than the hedgehog:

S₁ = S₂ - 10    .....equation 2.

If the turtle had left home 4.5 hours earlier than the hedgehog had left his home:

9.5S₁ + 5S₂ = D + 150    .....equation 3.

Substituting enq. 2 into eqn. 1, we have:

D = 5(S₂ - 10) + 5S₂

D = 5S₂ - 50 + 5S₂

D = 10S₂ - 50      .....equation 4.

Equating eqn. 3 and eqn. 4, we have:

10S₂ - 50 = 9.5(S₂ - 10) + 5S₂ - 150

10S₂ - 50 = 9.5S₂ - 95 + 5S₂ - 150

10S₂ - 50 = 14.5S₂ - 245

14.5S₂ - 10S₂ = 245 - 50

4.5S₂ = 195

S₂ = 195/4.5

S₂ = 43.3 m/h.

Now, we can find the distnace:

D = 10S₂ - 50

D = 10(43.3) - 50

D = 433 - 50

D = 383 meters.

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Meade gave 1/2 of a candy bar to Max and then ate 1/6 of the candy bar himself. What fraction of the candy bar is left?
There is ___ of the candy bar left.

Answers

Let's break this problem into a few steps:

First, Meade gave 1/2 of candy to Max

            ⇒ Amount of Candybar: Candy - (1/2)Candy = (1/2)Candy

Second, Meade ate 2/5 of the candy

           ⇒ Amount of Candy left:  

                    Total amount of candy - (1/6) * Total amount of candy

                                                 = (1/2) Candy - (1/6) *(1/2)Candy

                                                 = (1 - 1/6) * (6/7) Candy

                                                 = 5/6 * 1/2 = 5/12 Candy

Thus there is 5/12 of the candy left.

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When f(x) = 9x² - 5x + 3, evaluate f(-3)
f(− 3) =
Question Help: Video
Add Work
Submit Question
Jump to Answer

Answers

Answer:

Step-by-step explanation:

Remark

f(x) = 9x^2 - 5x + 3 is given. The notation means that wherever you see and x on the right, you replace it with the x in the brackes on the left. f(3) is a direction, not anything you have to adjust or manipulate.

Solution

f(-3) = 9*(-3^2) - 5*(-3) + 3       (-(3))^2 = -3 * -3 = 9  two minuses make a +

f(-3) = 9*(-3)(-3) + 15 + 3          -3 times an operation of minus equals a +

f(-3) = 9 * 9 + 15 + 3

f(-3) = 81 + 15 + 3

Answer: f(-3) = 99

Write two expressions that could be
used to help you determine the new cost of
a $68 dinner after adding on a 18% tip.

Answers

Answer:$80.24

Step-by-step explanation:68*0.18(18%)

12.24

68+12.24=$80.24

4+ 10(5-3) + 4 +62 is what
18
42
21
45

Answers

Answer:

18

Step-by-step explanation:

i k

Just todo the test so its tje ansiedad

An avid golfer goes to the driving range to practice with her favorite golf club. In a random sample of 33 swings, she hits the ball, on average, 185 yards with a standard deviation of 16.7 yards. Which of the following correctly interprets the 99% confidence interval for the true mean number of yards she hits the ball with this club?

99% of all balls she hits with this club will lie between the values in the interval.
In repeated sampling, 99% of the time the true mean number of yards the ball is hit with this club is 185.
This golfer can be 99% confident that the constructed interval captures the true mean number of yards a ball will travel when hit with this club.
In repeated sampling, 99% of the time the true mean number of yards the ball will travel when she hits with this club will be captured in the constructed interval.

Answers

Answer:

99% of all balls she hits with this club will lie between the values in the interval.

Step-by-step explanation:

Edge  2022

Given that 11x-3>=28x +10 State the least possibe value of x if a)x is an integer b)x us a prime number​

Answers

Answer:

  a, b) no solution

Step-by-step explanation:

The solution of your inequality on real numbers can be used to inform the solution for other domains.

__

  11x -3 ≥ 28x +10

  -13 ≥ 17x . . . . . . . . subtract (11x+10)

  -13/17 ≥ x . . . . . divide by the coefficient of x

__

a)

If x is an integer, there is no least possible value. x will approach negative infinity. (no solution)

__

b)

There are no negative prime numbers, so there are no values of x that are prime. (no solution)

Solve the following equation for X: 6(4x+5)=3(X+8)+3 round to the nearest hundred

Answers

X=5.4 because that is how i figured out the answer and I didn’t even figure out

brainliest for help!
Sketch a graph of the function
y =sin(x) + 2

Answers

Answer:

The parent sine graph [tex]y=sin(x)[/tex] has a range of -1 ≤ y ≤ 1

It crosses the x-axis x = 0° ± 180°n

The maximum points occur when x = 90° ± 360°n and y = 1

The minimum points occur when x = 270° ± 360°n and y = -1

The sketch the graph of function [tex]y=sin(x)+2[/tex] we simply move the graph of [tex]y=sin(x)[/tex] up 2 units.

So this means it will have a range of 1 ≤ y ≤ 3

It no longer crosses the x-axis.

The maximum points occur when x = 90° ± 360°n and y = 3

The minimum points occur when x = 270° ± 360°n and y = 1

Attached diagram

The parent function [tex]y=sin(x)[/tex] is shown in grey (dashed line)

The function [tex]y=sin(x)+2[/tex] is shown in red.

How many whole numbers between -32 and 77

Answers

Answer:

77 whole numbers because anything below 0 does not count as a whole number.

Answer: 77

Step-by-step explanation:because - numbers arent whole

Use the picture attached.
How many lines of symmetry does the picture have?
A.
3
B.
0
C.
1
D.
2

Answers

Answer: the answer is choice b which is 0 .

Step-by-step explanation: Any irregular quadrilateral has zero lines of symmetry because the sides are not equal so they won't form equivalent sides . This shape or quadrilateral can't be divided to lines of symmetry as the sides won't be equal . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

The Correct answer is B.0.

Hope it helps you Czn!!

Please Mark me as Brainleast!!

3RD ONE JUST LIKE MY OTHER ONES 100 POINTS

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 2 units

2. 11y+4=180=16

3. 33 (close enough)

4. 3.2( ( wouldn't take this for granted)

5.1004.8

What is the slope of the line that passes
* through the points (8, -9) and (1, 3)?

Answers

Answer:

[tex]\boxed{\sf{-\dfrac{12}{7} }}[/tex]

Step-by-step explanation:

Use the slope formula.

[tex]\underline{\text{SLOPE FORMULA:}}[/tex]

[tex]\longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

y2=3

y1=(-9)

x2=1

x1=8

Rewrite the problem down.

[tex]\sf{\dfrac{3-(-9)}{1-8}=\dfrac{3+9}{1-8}=\dfrac{12}{-7}=\boxed{\sf{-\dfrac{12}{7} }}[/tex]

Therefore, the slope is -12/7.

I hope this helps, let me know if you have any questions.

Answer:

[tex]\boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}[/tex]

Step-by-step explanation:

Slope formula:

[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}}} = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Using the coordinates (8, -9) and (1, 3), we obtain the following:

First point       =  (x₁, y₁)   =  (8, 9)   =  x₁ = 8     y₁ = 9Second point =  (x₂, y₂)  =   (1, 3)   =  x₂ = 1     y₂ = 3

Substitute the coordinates of both the points in the slope formula to obtain the fraction that represents the slope.

[tex]\implies \text{Slope} = \dfrac{3 - (- 9)}{1 - 8}[/tex]

To obtain a specific fraction or whole number that represents the slope, we need to simplify the numerator and the denominator.

[tex]\implies \text{Slope} = \dfrac{3 + 9}{-7}[/tex]

[tex]\implies \text{Slope} = \dfrac{12}{-7}[/tex]

Use parenthesis and take out the "negative sign" from the denominator.

[tex]\implies \boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}[/tex]

need help on this one

Answers

8 plants because you count all the dots that are taller than 13 inches. All the X's represent how many plants are the specific height.

Hope it helps!

Find Which of the following is an example of the identity property of 1 ?

Answers

you didn't give any options

hope you understood...!!!

Suppose a ball is dropped from a height
of 6 meters and bounces to 90% of its
previous height after each bounce.
Using the formula h = 6(0.9)n, where n
represents the number of bounces and h
represents the maximum height of the
ball after the nth bounce, what is the
approximate maximum height of the
ball after the 12th bounce? (if necessary,
round to nearest tenth)

Answers

Answer:

1.7

Step-by-step explanation

You just do 6 x 0.9 to the twelfth power.

Find the value of X in this shape

Answers

Apply Pythagorean theorem

P²=H²-B²x²=17²-14²x²=289-196x²=93x=√93

Help Please!!!!

What is the distance from the hazard buoy P to the southern landmark L2? Use this formula: d^2=(DL2)^2+(PD)^2 , where d is the distance from P to L2, DL2 is the distance from D to L2, and PD is the distance from P to D. Round to the nearest foot. (5 points)

DL2 = 600ft
PD = 700ft

Answers

Answer:

922 ft

Step-by-step explanation:

[tex]d^{2}=PD^{2}+D_{2}L^{2}\\\ \ \ \ \\ =\ 600^{2}+700L^{2}\\\ \ \ \ \\ =\ 850000\\\\\text \\then\\d = \sqrt{850000} =921.954445729289\\\\\text then\\d\ \approx922[/tex]

What is the length of leg s of the triangle below?

Answers

Answer:

s = 10

Step-by-step explanation:

This Triangle is a Right Triangle with two equal sides ( because there are two equal angles )

Pytha. Theorem

A² + B² = C²

since we have two equal sides the A = B = s

then

s² + s² = c²

2s² = c²

2s² = (10sqrt2)²

2s² = 100 x 2

2s² = 200

s² = 200/2 = 100

s = sqrt ( 100 )

s = 10

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