Sally has 11 candles, each a different color. How many ways can shearrange from left to right the candles in a candelabra that holds 4candles?
Answers
We can picture the following situation:
imagine that instead of the places of the candelabra, you have 4 boxes (which represent the places in the candelabra).
Since Sally is arranging the candles from left to right, this means that the order matters. So we can have the following picture
Each number represents its position from left to right. To identify the total number of arrangements, we will use the fundamental principle of counting. This principle works as follows: To identify the total number of arrangements, we simply calculate the total number of available possibilites for each box and then we can multiply this numbers together.
So, we proceed. For the first box, since we haven't picked any candle, we have a total of 11 possibilites.
After picking one candle we have the following picture
Now, we want to fill the second spot. Since we already filled the first one, that means we have available 10 candles to choose. So, the total number of possibilities is 10.
Continuing in the same fashion, to fill box 3 we have a total of 9 possibilities and to fill the last box we have a total of 8 possibilities.
So, using the counting principle, the total number of possible arrangements is
\(11\cdot10\cdot9\cdot8=720\cdot11=7920\)So, there are 7920 different ways in which Sally can arrange the candles in the candelabra
Related Questions
1. Indicate whether the following statements are True (T) or False (B).
(a) Unicellular organisms have one-celled body.(t/f)
(b)
Muscle cells are branched.(t/f)
(c) The basic living unit of an organism is an organ.
(T/F)
(d) Amoeba has irregular shape.(T/F)
Answers
Answer:
true,false,false,true
Step-by-step explanation:
Answer:
a) T
b) F
c) F
d)T
Step-by-step explanation:
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side
The figure below is a net for a right rectangular prism.
11 m
13 m
11 m
7 m
11 m
11 m
What is the surface area of the right rectangular prism, in square meters?
Answers
The surface area of the right rectangular prism is given as follows:
358 m².
How to obtain the surface area?The surface area of a prism is obtained with the sum of the areas of each part of the prism.
The parts that compose the prism are given as follows:
Two rectangles of dimensions 7 ft and 12 ft.Two rectangles of dimensions 5 ft and 12 ft.Two rectangles of dimensions 5 ft and 7 ft.The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.
Hence the surface area of the prism is calculated as follows:
S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².
(multiplication by two due to the two rectangles with each of the dimensions).
Missing InformationThe prism is given by the image shown at the end of the answer.
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BONUS QUESTIONS 1. The number of books featured at the local library is shown below: MYSTERY BOOKS: 32 NOVELS: 16 NON-FICTION BOOKS: 12 The library is hosting a book fair that features the mystery books. All the authors discuss the same number of mystery books and each will discuss more than 1 book. How many authors could be featured in the show?
Answers
Answer:
I don't get the question
Step-by-step explanation:
use the cummutative property of addition to write an expression equivalent to 15a+b
Answers
Answer:
15a + b = b + 15a
lol is this right?
Step-by-step explanation:
Sam wants to write an equation to represent a
proportional relationship with a constant of proportionali
of 6. He writes the equation y = 6 + X.
Is he correct. If not, what is the correct equation? Explai
your answer. Consider the graph of the equation in your
response
Answers
Answer:
No, Sam is not correct. The graph of a proportional relationship has the form y = kx, where k is the constant of proportionality. Sam added the constant of proportionality instead of using it as the coefficient of x. The correct equation is y = 6x. Sam’s graph would be a straight line, but it would not pass through the origin.
Step-by-step explanation:
on edge :)
Please answer the following question below: (as fast as possible please!)
Answers
Given
\(cot^2(\frac{\pi}{2}x)=3\)To find the value of x.
Explanation:
It is given that,
\(cot^2(\frac{\pi}{2}x)=3\)Taking square root on both sides,
\(\begin{gathered} cot^(\frac{\pi}{2}x)=\pm\sqrt{3} \\ cot(\frac{\pi}{2}x)=\sqrt{3},cot(\frac{\pi}{2}x)=-\sqrt{3} \end{gathered}\)Consider,
\(\begin{gathered} cot(\frac{\pi}{2}x)=\sqrt{3} \\ \Rightarrow\frac{\pi}{2}x=\frac{\pi}{6},x\notin2n,n\in Z. \end{gathered}\)Then, the general solution is,
\(undefined\)Write a paragraph (4-5 sentences) explaining how we can help or change racism to black people
No copying from internet please
Answers
Answer
A few ways we could stop racism against black people in this country is to stop the perpepuation of black stereotypes in media. Such as the loud, aggressive black man, or the rude, catty black woman. It causes a harmful view on black people and can result in racial profiling. Another way to combat this racism is to fight off systemic racism. Black people who have unique names, usually African names, are more likely to get turned down for a job when they turn in their resume to an establishment. This is because they automatically assume that they'll be trouble, and won't be a good worker.
Question #3
Determine if the following scenario is best described as an observational study, survey, or experiment.
A researcher wants to determine the effects of eating a vegan diet on overall health. The researcher finds 200 individuals, where
of them have eaten vegan for the past five years and the other 100 have not eaten vegan for the past five years. The participants
each given a health assessment and the data is analyzed in order to draw conclusions about how eating vegan can affect one's
overall health.
Experimental Study
Observational study
Saved Survey
Answers
The type of sytudy that we have here is the observational study.
What is the observational study?
In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.
In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.
The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.
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Marquis started at an elevation of 3000 feet and hiked down a mountain at a constant rate. His elevation decreased 500 feet per hour.
Graph the relationship between Marquis’ elevation and time as he hiked down the mountain.
Answers
Answer:
if u divide it then slop it u will get your answer
Step-by-step explanation:
I need help with my school final and I am very lostFind the resultant and the angle
Answers
We have the triangle below:
The value of x can be found using Pythagoras theorem:
\(hypothenuse^2\text{ = opposite}^2\text{ + adjacent}^2\)Substituting we have:
\(x^2\text{ = 16}^2\text{ + 36}^2\)Solving for x:
\(\begin{gathered} x^2\text{ = 1552} \\ x\text{ = }\sqrt{1552} \\ x\text{ = 39.39} \end{gathered}\)Answer: 39.4 feet
The value of the angle can be found using the formula:
\(\begin{gathered} \theta\text{ = }\tan^{-1}(\frac{16}{36}) \\ \theta\text{ = 23.96 } \\ \theta\text{ }\approx\text{ 24}^0 \end{gathered}\)
An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed with a mean equal to 13.00 and a standard deviation equal to 0.2 seconds. What percentage of players on the team run the 100-meter dash in 13.36 seconds or faster
Answers
Answer:
96.41% of players on the team run the 100-meter dash in 13.36 seconds or faster
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 13, \sigma = 0.2\)
What percentage of players on the team run the 100-meter dash in 13.36 seconds or faster
We have to find the pvalue of Z when X = 13.36.
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{13.36 - 13}{0.2}\)
\(Z = 1.8\)
\(Z = 1.8\) has a pvalue of 0.9641
96.41% of players on the team run the 100-meter dash in 13.36 seconds or faster
if there are approximately 1;000 middle schools in nyc then how many total middle schools students are there un the city
Answers
Answer:
Hey you didn't add enough information to answer the question, maybe add some more? Also for this question it will probably be a multiplication or division. Sorry I couldn't help more :)
Step-by-step explanation:
Need help, pls!!!
ty!
Answers
The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.
The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.
The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).
Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
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A man flies a kite with a 100 ft string. The angle of elevation of the string is 50degrees. How high off of the ground is the kite?
Answers
We will determine the y-component of the angle[Distance from the ground] as follows:
\(y_c=100\sin (50)\Rightarrow y_c=76.60444431\)From this, we know that the kite is approximately 76.60 ft from the ground.
A statistics teacher has 4 periods of introductory statistics. She wants to get students’ opinions on a new homework policy. To get a sample, the teacher lists every student’s ID number and uses a computer to randomly select 20 of the IDs. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling
Answers
Answer:
Simple random sampling.
Step-by-step explanation:
In this case, the statistics teacher selects a group of students from his class absolutely at random, without taking into account any specific factor when making said selection, rather than absolute chance.
In this way, in the case the teacher performs a simple random sampling with respect to his class, since the selected students do not respond to any specific characteristics that are required for the sample.
Answer:
The answer is A Cluster
Step-by-step explanation:
I just took the review on EDGE
Simplify 3(r+5)-4r help me pls NOW
Answers
Answer:
-r + 15
Step-by-step explanation:
3r + 15 - 4r =
-r + 15
Hope that helps!
Which BEST shows where this function is only decreasing?
A) −2 < x < 0.5
B) −∞ < x < −2
C) −2 < x < ∞
D) 0.5 < x < ∞
Answers
Answer:
0.5 < x < ∞
Step-by-step explanation:
When reading a graph from left to right, a graph is increasing where the y-values are getting bigger, or the graph is going up
What is the slope? (IXL)
Answers
Answer: a=mx+b
Step-by-step explanation:
Solve the system of equations. \begin{aligned} &-3y+4x = 13 \\\\ &-5y-6x=-67 \end{aligned} −3y+4x=13 −5y−6x=−67
Answers
Answer:
x = 7
y = 5
Step-by-step explanation:
We can do this algebraically using substation or elimination or we could do this graphically.
Answer:
x=7
y=5
Step-by-step explanation:
Answer the way they want to
idk how help pleaseeeeeeew
Answers
is -14 and 14 equal?
Answers
No
Step by step explanation:
If you are in debt 14 dollars you would have -14
If you have 14 dollars it would be 14
Those are very much not the same
HELPP!!
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 15 gallons of water. Ryan used 6.8 gallons to water his garden in June and 5 and one-eighth gallons in July. How much water is left in the barrel?
1.) 3.075 gallons
2.) 5.125 gallons
3.) 5.178 gallons
4.) 16.675 gallons
Answers
Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:
1.) 3.075 gallons.
How to find the remaining amount of water in the barrel?
To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.
We have that:
The initial amount was of 15 gallons.The amount used was of: 6.8 + 5 + 1/8(relative to the one-eight) = 11.925 gallons.Hence the remaining amount is:
15 - 11.925 = 3.075 gallons.
Which means that option 1 is correct.
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Answer: 3.075 gallons
Step-by-step explanation:
MARKING BRAINLEIST IF CORRECT AND QUICK!
Answers
Answer:
Hey I might know-
Try the the bottom left one
5+(-7)+1/3+(-2/3)
help me asap. my exam is tomorrow.
Answers
The total surface area of the doghouse is 1452 ft²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.
area of the roof part = 2( 13×11) + 2( 12× 10)×1/2
= 286 + 720
= 1006 ft²
surface area of the building
= 2( lb + lh + bh) -bh
= 2( 10× 11 + 10×8 + 11×8) - 10×11
= 2( 110+80+88)-110
= 2( 278) -110
= 556 -110
= 446ft²
The total surface area = 1006 + 446
= 1452 ft²
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Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
Answers
The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.
The graph is given in the question.
As per the given line, we take two points (0, 4) and (5, 8)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 4
x₂ = 5, y₂ = 8
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 4 = (8 - 4)/(5-0 )[x -0]
⇒ y - 4 = (4/5)x
⇒ y = (4/5)x + 4
The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.
So, the equation of the line would be y = (4/5)x + 4.
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Find the value of y.
Answers
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answers
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
6b-9=-87 what is the answer
Answers
Answer: B=-16
because -86-9=-96 and -96 divided by 6=-16
A cylindrical steel pipe with a liquid is 21 cm long with radius 0, 4 cm and its hollow part is of radius 0, 1 cm. What is the volume of liquid, in litres, in the pipe? A. 9000 litres B. 9400 litres C. 9900 litres D. 10100 litres
Answers
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.
To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.
Given:
Length of the cylindrical steel pipe (hollow part) = 21 cm
Radius of the solid cylinder = 0.4 cm
Radius of the hollow cylinder = 0.1 cm
First, let's calculate the volume of the solid cylinder (hollow part):
V1 = π × \(r1^2\) × h
V1 = π × \((0.4 cm)^2\) × 21 cm
Next, let's calculate the volume of the hollow cylinder:
V2 = π × \(r2^2\) × h
V2 = π × \((0.1 cm)^2\) × 21 cm
Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:
Volume of liquid = V1 - V2
Let's calculate these values:
V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³
V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³
Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³
To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:
Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.
Therefore, none of the options A, B, C, or D provided is the correct answer.
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