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:
Answers
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 selectionTo 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
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
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%
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
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).
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
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]
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 ftStep-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]
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
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)
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
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Solve the following equation for X: 6(4x+5)=3(X+8)+3 round to the nearest hundred
Answers
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
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.
Which of the following graphs is not a function ?
Answers
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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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.
Find Which of the following is an example of the identity property of 1 ?
Answers
you didn't give any options
hope you understood...!!!
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.
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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 = 3Substitute 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]
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
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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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
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
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.
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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
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!
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]
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Find the value of X in this shape
Answers
Apply Pythagorean theorem
P²=H²-B²x²=17²-14²x²=289-196x²=93x=√93Meade 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.