Answer: 139.4
Step-by-step explanation:
a supplementary angle is equal to 180 so all we have to do is subtract 40.6 from 180
180 - 40.6 = 139.4
Identify and name congruent triangles
The answers are a) ASA congruence rule b) SSS congruence rule c) it is not necessary congruent.
What is Congruence ?Congruent refers to having the same height and shape. Congruent therefore involves comparing two numbers, and equivalent denotes the equality of two expressions. Therefore, to state two line segments are congruent implies that the two lines have equal measures.
According to question:a) ∠GIH is corresponding to ∠LJK
GH = KL
∠IHG = ∠KLJ
By ASA congruence rule
ΔGIH ≅ ΔJKL
b) AB = DF
AC = DE
BC = EF
By SSS congruence rule
ΔABC ≅ ΔDEF
c) Two Corresponding sides are congruent, which is not enough to make them congruent.
So, it is not necessary congruent.
To know more about Congruent visit:
brainly.com/question/12413243
#SPJ1
Identify the fallacies of relevance committed by the following arguments, giving a brief explanation for your answer. If no fallacy is committed, write "no fallacy". Surely you welcome the opportunity to join our protective organization. Think of all the money you will lose from broken windows, overturned trucks, and damaged merchandise in the event of your not joining.
There are no fallacies of relevance committed by the given argument.
The following arguments commits fallacy: argumentum ad baculum. Argumentum ad baculum is a Latin phrase which means argument from a stick or appeal to force. It is a type of logical fallacy in which someone tries to persuade another person by using threats of force or coercion rather than using evidence or reasoning.
The above statement is an example of the argumentum ad baculum fallacy as it tries to use fear to convince people to join their protective organization. They are using the threat of potential losses to convince people to join. It is a manipulative strategy that attempts to scare people into joining by threatening the safety of their business.No fallacy is committed. There are no fallacies of relevance committed by the given argument.
Learn more about Fallacies
brainly.com/question/14669739
#SPJ11
what is the equation for pattern 2
Therefore , the solution of the given problem of equation comes out to be the number of dots is filled in below table.
What is an equation?Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Instead of a single formula that separates 12 into two parts and can be used to assess received from y + 7, normalization in this case yields b + 7.
Here,
Given : A table with number of dots can be filled by this:
Here are the number of dots in each pattern:
Pattern Number of dots
1 4
2 7
3 10
4 13
5 16
6 19
7 22
8 25
9 28
10 31
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
cala used 4 2/3 cups of watermelon and 2 1/6 cups of cherries to make a fruit bowl how many cups of watermelon and cherries were used in all
Answer:
6 5/6 cups
Step-by-step explanation:
Add.
4 2/3 = 4 4/6
4 4/6 + 2 1/6 gives 6 5/6 cups were used in all.
Hope this helps!
Boxes is it a and B contain some counters box a contains more counters then box b what is the smallest possible value of K
The smallest possible value of k is 5. This is determined by setting up the equation 3k = (k + 8) + 1 and solving for k.
To find the smallest possible value of k, we need to determine the point where Box A has just one more counter than Box B. We can set up an equation to represent this:
3k = (k + 8) + 1
Simplifying the equation, we get:
3k = k + 9
2k = 9
k = 4.5
However, k must be a whole number, since we are dealing with counters. Therefore, the smallest possible value of k is 5.
Learn more about algebra here: brainly.com/question/24875240
#SPJ4
Complete question:
Boxes A and B contain some counters. Box A contains more counters than Box B. 3k counters in Box A and K+8 in Box B. What is the smallest possible value of K?
22 The regular selling price is a 22" tube television is $389. The markdown rate is 33%. Use the
percent paid to determine the sale price.
A. $245.34
C. $260.63
B. $267.89
D. $287.56
The Sale price is C. $260.63.
What is selling price?Selling price is the price at which a product or service is sold by a business or seller to a customer. It is the amount of money that a customer must pay in order to purchase the product or service. The selling price is typically determined by factors such as production costs, competition, supply and demand, and profit margins.
What is sale price?Sale price is the discounted price at which a product or service is sold for a limited period of time. It is usually a lower price than the regular price, and it is offered to customers as an incentive to make a purchase. Sale prices can be determined by applying a discount or markdown to the regular selling price.
In the given question,
To find the sale price, we need to first calculate the amount of the markdown:
Markdown = Regular Price x Markdown Rate
Markdown = $389 x 0.33
Markdown = $128.37
The sale price is then the regular price minus the markdown:
Sale Price = Regular Price - Markdown
Sale Price = $389 - $128.37
Sale Price = $260.63
Therefore, the answer is C. $260.63.
To know more about sale price, visit:
https://brainly.com/question/29363568
#SPJ1
Question 8
Which division expression is the given figure modeling?
A
B
C
D
1
4÷3
3÷/1/1
1
12 ÷ 4
3 ÷ 1/1/
1
1
The division problem provided by the model shown here is [tex]3[/tex] ÷ [tex]\frac{1}{4}[/tex].
How are fractions divided?The first step of dividing fractions is to get the reciprocal of a second fraction, which involves flipping its numerator and denominator. Multiply all two numerators after that. Multiply the 2 denominators after that. Then finish, if required, simplify the fractions.
Simple division: What is it?Simple Division: Little numbers can be divided into groups and pieces using the simple division method in mathematics. Divide easy and basic division problems into terms that can be divided using simple division sums. Arithmetic, subtraction, multiplying, & division are the four fundamental mathematical operations.
Given:
We have three section [tex]1+ 1 + 1= 3[/tex]
[tex]= \frac{4}{12}[/tex]
[tex]= \frac{1}{3}[/tex]
In this case, the model yields the division issue.
[tex]3[/tex] ÷ [tex]\frac{1}{4}[/tex]
To know more about division visit:
https://brainly.com/question/30570134
#SPJ1
What is the area in square feet of the shaded part of the rectangle below
Answer:
45 sqft
Step-by-step explanation:
Split the shaded area into a rectangle and a triangle. The area of the rectangle is 3x10=30 and the area of the triangle is 3x10/2=15 30+15=45
Or 10x6=60 10*3/2=15 60-15=45
Write a two column proof for the following statement. Given that the Bible is true, prove that you personally need the Gospel to be in relationship with God. Fo this proof, you will need to establish(using scripture) the following flow of logic: 1 the state of mankind without the Gospel. 2 the state of mankind's relationship with God as a result of #1. 3 the affect of the Gospel message has on mankind. 4 the affect on mankind's relationship with God as a result of #3.
It is important that our understanding and spreading of the gospel comes from the biblical text itself, and it is equal important that we continue to preach and defend the one true gospel. Jesus died and rose again for the forgiveness of our sins.
The word gospel occurs ninety-nine times in the NASB and ninety-two times in the NET Bible. In the Greek New Testament, the gospel is a translation of the Greek noun "good news" occurring 76 times and of the verb "to bring or announce good news" 54 times. Both words are derived from the noun angelos, "messenger". In classical Greek, euangelos is one who brings news of victory or other joyful political or personal news.
The gospel of the grace of God emphasizes that all aspects of salvation are based on grace, not on a merit system.The gospel of the Kingdom is the good news that God will establish His kingdom on earth through the two comings of the Lord Jesus Christ.The gospel of peace describes how this good news of salvation in Christ brings peace in all areas (peace with God, peace with God, peace with others, and peace in the world) through the Savior's victory.Learn more about Equally:
https://brainly.com/question/29194324
#SPJ4
Assume a Poisson random variable has a mean of 5 successes over a 125-minute period. a. Find the mean of the random variable, defined by the time between successes. Mean 25 b. What is the rate parameter of the appropriate exponential distribution? (Round your answer to 2 decimal places.) Rate parameterſ 0.04 c. Find the probability that the time to success will be more than 55 minutes. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Probability
The mean of time between success is 0.2 minutes, rate parameter is 5 and probability that the time to succeed will be more than 55 minutes is approximately 0.000026 when Poisson random variable has a mean of 5 successes over a 125-minute period.
They can be found out by:
(A) The mean of the random variable defined by the time between successes can be found by using the fact that the Poisson distribution is memory less, which means that the time between successes follows an exponential distribution. The mean of an exponential distribution is equal to the reciprocal of the rate parameter, so:
Mean of time between successes = 1 / rate parameter = 1 / 5 = 0.2 minutes
(B) The rate parameter of the exponential distribution can be found using the fact that the mean of the exponential distribution is equal to the reciprocal of the rate parameter, as derived in part a:
rate parameter = 1 / mean of time between successes = 1 / 0.2 = 5
(C)The probability that the time to success will be more than 55 minutes can be found using the cumulative distribution function (CDF) of the exponential distribution with the rate parameter found in part b:
P(X > 55) = 1 - P(X <= 55) = 1 - F(55) = 1 - (1 - e^{(-5*55)}) = 0.000026 (rounded to 4 decimal places)
Therefore, the probability that the time to success will be more than 55 minutes is very small, approximately 0.000026.
The mean of random variable defined by time between success is 0.2 minutes, rate parameter of exponential distribution is 5 and probability that the time to succeed will be more than 55 minutes is approximately 0.000026 .
To practice more questions about the 'probability':
https://brainly.com/question/23286309
#SPJ11
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 2 , 5 , 8 ,Find the 41st term.
The 41st term of the sequence is 121.
What is a sequence?In mathematics, a sequence is a list of numbers or objects that follow a certain pattern or rule. A sequence's terms are typically identified by subscripts, like a1, a2, a3,..., an, where n denotes the number of terms in the sequence.
Sequences can be arithmetic, geometric, or neither, depending on terms follow a static difference, constant ratio, or neither of these series, respectively. Algebra uses geometric sequences to represent exponential development or decay whereas arithmetic sequences are frequently employed to model linear connections.
The given sequence is 2 , 5 , 8 , ...
The common difference is:
d = 5 - 2 = 3
The nth term of a sequence is given as:
an = a1 + (n-1)d
Substituting the value we have:
an = 2 + (n-1)3
an = 3n - 1
a41 = 3(41) - 1 = 122 - 1 = 121
Hence, the 41st term of the sequence is 121.
Learn more about sequence here:
https://brainly.com/question/19819125
#SPJ1
Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in
producing large tubes of toothpaste.
O 2.1.3.4
O 4.1,2,3
O 4,3,1,2
The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.
Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.
Toothpaste company
Large tubes
Small tubes
1) Sparkling
100 per hour
200 per hour
2) Bright White
100 per hour
250 per hour
3) Fresh!
200 per hour
250 per hour
4) Mint
150 per hour
150 per hour
Formula for comparative advantage is
CA=rate of producing large tubes/rate of producing small tube
For 1 Sparkling:
CA = 100/200
CA = 0.5
For 2 Bright White:
CA = 100/250
CA = 0.5
For 3 Fresh:
CA = 200/250
CA = 0.8
For 4 Mint:
CA = 150/150
CA = 1
thus, to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2.
Learn more about Companies:
https://brainly.com/question/28889657
#SPJ4
Complete question:
Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in
producing large tubes of toothpaste.
2.1.3.4
4.1,2,3
4,3,1,2
Save and Exit
Next
Submit
Mark this and retum
Please need help in math
I inserted in an image below to help you with the rule.
The 1st point is (6,1) . This becomes (1,-6).
The 2nd point is (-5,-6). This becomes (-6, 5)
Perimeter of a ______________ = side+side+side+side+side
Perimeter of a regular pentagon = side + side + side + side + side
A polygon is a two-dimensional shape with straight sides that are connected to form a closed figure. The perimeter of a polygon is defined as the total distance around the exterior of the shape.
To calculate the perimeter of a polygon, you add up the lengths of all its sides. For example, a regular pentagon has five sides that are all the same length. To find the perimeter of this pentagon, you would add up the length of all five sides:
Perimeter of a regular pentagon = side + side + side + side + side
= 5 × side
Learn more about perimeter here
brainly.com/question/29421031
#SPJ4
In this cartesian plane, I want you to make Ronaldo's face in it through the measuring!! In the 4 quartiles! I want you to send me back the document after you finish! or I will report you with 40 ACC I made
Answer:
answer is 091 accc h na tu
Which box plot represents data that contains an outlier?
A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 9, and the box ranges from 3 to 8. A line divides the box at 7. 5.
A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 10, and the box ranges from 6 to 8. 5. A line divides the box at 7. 5.
A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 9, and the box ranges from 2 to 7. A line divides the box at 4.
A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 3 to 9, and the box ranges from 5 to 7. A line divides the box at 6,
The box plot represents the data set 2, 4, 6, 8, 10, 12 is option (a) A box-and-whisker plot. The number line goes from 1 to 10. The whiskers range from 1 to 9, and the box ranges from 3 to 8. A line divides the box at 7. 5.
A box-and-whisker plot is a graphical representation of a data set that displays the distribution of the data, as well as its quartiles and any outliers. The plot is made up of a rectangular box, which represents the middle 50% of the data, with a line in the box representing the median. Two lines, called whiskers, extend from the box to represent the range of the data outside of the box, excluding any outliers. Outliers are any values that fall outside of the whiskers.
In the given options, the box-and-whisker plot that represents the data set 2, 4, 6, 8, 10, 12 is the one that has a box ranging from 4 to 10, with a median line dividing the box at 7. This means that 50% of the data falls between 4 and 10, with the median value being 7. The whiskers range from 2 to 12, indicating that the data set has a minimum value of 2 and a maximum value of 12.
Therefore, the correct option is (a) A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 10. A line divides the box at 7.
Learn more about box plot here
brainly.com/question/14277132
#SPJ4
The given question is incomplete, the complete question is:
Which box plot represents the data set 2, 4, 6, 8, 10, 12?
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 10. A line divides the box at 7.
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 8. A line divides the box at 6.
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 4 to 9. A line divides the box at 6.
A box-and-whisker plot. The number line goes from 0 to 12. The whiskers range from 2 to 12, and the box ranges from 6 to 10. A line divides the box at 8.
Answer: (B)
Correct Answer 100%! Pls, give me brainliest. Thank You!
Suppose a random sample of 80 measurements is selected from a population with a mean of 65 and a variance of 300. Select the pair that is the mean and standard error of x. a) O [65, 2.236] b) O [65, 2.036] c) O [65, 2.436] d) O [80, 2.136] O [65, 1.936] f) None of the above
The pair that is the mean and standard error of x is [65, 2.236]. So, the correct option is a.
Suppose a random sample of 80 measurements is selected from a population with a mean of 65 and a variance of 300. We are required to select the pair that is the mean and standard error of x. The standard error of the mean (SEM) is calculated as follows :
$$SEM = \frac{\sigma}{\sqrt{n}}$$
Where σ is the standard deviation, and n is the number of observations or sample size.
Given that variance,
σ2 = 300
Therefore,
σ = √300 = 17.32.
Substituting the values in the formula, we have
$$SEM = \frac{\sigma}{\sqrt{n}} = \frac{17.32}{\sqrt{80}} = 1.9365$$
Therefore, the mean and standard error of x is [65, 1.936]. Option A is not the answer because the value of the standard error in that option is incorrect. Option B is not the answer because the value of the standard error in that option is incorrect. Option C is not the answer because the value of the standard error in that option is incorrect.
Option D is not the answer because the first value in that option is not the mean of x. Option E is incorrect because the value of the standard error is incorrect.
You can learn more about the standard error at: brainly.com/question/13933041
#SPJ11
Isaiah is grounded and has to stay in his room all day. He made up a game where he throws balled-up paper called a "trashball" into his trash can. The diameter of the top of the trash can 1 the diameter of the top of is 12 in. Isaiah wants the "trashball" to have a diameter that is the trash can. > What should the diameter of Isaiah's "trashball" be? d Level G ? in. 12 in.
Answer:
Isiah Thomas
Step-by-step explanation:
I amazing fact
Answer:
the correct answer is 4
Step-by-step explanation:
yea sorry i don’t know step-by-step
stive efforts in
Eamples (finding slope in tables and graphs)
termine the slope of each linear equation. You may want to use the slope formula.
X O
1
2
3
y
S5
7
9
11
b)
566
X
-7
-6
-5
-4
y
10
7
4
1
c)
X
-2
0
2
4
y
I
3
5
can't
7
9
The slope of a linear equation is an important skill to have, as it can be used to identify the rate of change of the equation, and can be used to predict future values of the equation.
What is equation?An equation is an expression that states the equality of two things. It typically consists of an equal sign (=) and two expressions on either side of the equal sign that represent the same thing. Equations are used to describe relationships between different variables and can be used to solve mathematical problems. They can also be used to show the relationships between different quantities in physics and chemistry.
a)The slope of this linear equation can be determined by using the slope formula, which is rise over run. In this equation, the rise is 6, and the run is 2, so the slope is 3.
b) The slope of this linear equation can be determined by using the slope formula, which is rise over run. In this equation, the rise is 3, and the run is -7, so the slope is -3/7.
c) The slope of this linear equation can be determined by using the slope formula, which is rise over run. In this equation, the rise is 4, and the run is 6, so the slope is 2/3.
Finding slope in tables and graphs is a common mathematical skill that is used to identify the rate of change of a linear equation. This is determined by finding the change in the dependent variable (the y-axis) divided by the change in the independent variable (the x-axis). This is what is referred to as the slope of the equation. To find the slope in tables and graphs, you must look at the differences between the points on the x-axis and y-axis, and divide the change in the y-axis by the change in the x-axis. This will give you the slope of the equation. Finding the slope of a linear equation is an important skill to have, as it can be used to identify the rate of change of the equation, and can be used to predict future values of the equation.
To know more about equation click-
https://brainly.com/question/2972832
#SPJ1
please help with geometry
Step-by-step explanation:
Since it is equilateral the angle at the top is 60 °
for right triangles sin (angle ) = opposite leg / hypotenuse
sin (60) = sqrt 6/ x
x = sqrt 6 / sin (60) = sqrt 6 / sqrt(3)/2 =
2 sqrt 2 = 2.83
A a varies partly with B and with another quantity C. If the to when B=2 and A= 28 and A = 12 when B = 3 and C=26. Find the value of A when B = 4 and C=6 Find the value of B when A= 38 and C=6
How can I write this differently, 270 students don’t like carrots
Answer:
270 students dislike carrots.
Step-by-step explanation:
Angelfish need at least 7
gallons of water to live.
Four friends have four
different sized fish tanks
(rectangular prisms). If
each tank has the
following dimensions,
which children have a
tank big enough for an
angelfish?
Hint: 1 gallon = 231 cubic inches
Children
Caroline
Thomas
Henry
Kym
Tank dimensions (inches)
16 x 14 x 9
15 x 7 x 9.5
14 x 12 x 9.5
14 x 11 x 10.5
Answer: Caroline and Kym
Step-by-step explanation:
To determine which children have a tank big enough for an angelfish, we need to calculate the volume of each tank in cubic inches and convert it to gallons.
Caroline's tank: Volume = length x width x height = 16 x 14 x 9 = 2,016 cubic inches. Converting to gallons: 2,016 / 231 = 8.72 gallons. Caroline's tank is big enough for an angelfish.
Thomas's tank: Volume = length x width x height = 15 x 7 x 9.5 = 999.75 cubic inches. Converting to gallons: 999.75 / 231 = 4.32 gallons. Thomas's tank is not big enough for an angelfish.
Henry's tank: Volume = length x width x height = 14 x 12 x 9.5 = 1,596 cubic inches. Converting to gallons: 1,596 / 231 = 6.90 gallons. Henry's tank is not big enough for an angelfish.
Kym's tank: Volume = length x width x height = 14 x 11 x 10.5 = 1,683 cubic inches. Converting to gallons: 1,683 / 231 = 7.28 gallons. Kym's tank is big enough for an angelfish.
Therefore, Caroline and Kym have tanks that are big enough for an angelfish. Thomas and Henry do not.
The vertical supports in this subdivided truss bridge are built so that ∆BAC ≅ ∆DAC, BC = BA, and CD = AD. Which statement is not true?
Answer: Not D
Step-by-step explanation:
Answer not available, but it is definitely not D.
Your welcome.
How to reduce dimension using PCA?
PCA (Principal Component Analysis) is an unsupervised learning technique used to reduce dimensionality. It is a commonly used dimensionality reduction technique. This technique is used to discover patterns in data that have multiple features. PCA is used to reduce the dimensionality of data.
Compute the mean of each feature. For every feature, compute the mean μ=1/nΣxi where n is the number of data points and xi is the feature vector. Calculate the covariance matrix compute the covariance matrix from the mean-adjusted data: X=X−μ,Covariance matrix: C=1/nXTX where X is the mean-adjusted data matrix.
Now find the eigenvectors and eigenvalues of the covariance matrix. Sort the eigenvectors in order of decreasing eigenvalues. These eigenvectors represent the principal components. The first eigenvector represents the direction of the maximum variance.
Create the projection matrix. Only the top k principal components are used for dimensionality reduction. The projection matrix can be computed by stacking the eigenvectors of the top k principal components: W=[u1u2…uk]where ui represents the eigenvector.
Project the data onto the lower-dimensional subspace. The original data can be projected onto the lower-dimensional subspace using the projection matrix: Z=X×WPCA is a commonly used dimensionality reduction technique that involves computing the principal components of a dataset. This technique can be used to find the most important patterns in the data.
To learn more about "dimensionality reduction": brainly.com/question/30101604
#SPJ11
14.5% of an amount is 812 , what is the original number
the original number after simplification is 5600.
Define FractionA fraction is a numerical quantity representing a part of a whole or a ratio between two numbers. It is expressed as one integer, called the numerator, written above a horizontal line, and another integer, called the denominator, written below the line. For example, the fraction 2/5 represents two out of five equal parts or 2 divided by 5,
We can start by using the fact that 14.5% can be written as a decimal fraction 0.145.
Let X be the original number we want to find.
Then we can set up the following equation:
0.145 ×X = 812
To solve for X, we can divide both sides by 0.145:
X = 812 / 0.145 = 5600
Therefore, the original number is 5600.
to know more about integers, visit:
https://brainly.com/question/15276410
#SPJ1
sam wants to color the three sides of an equilateral triangle. he has five different colors to choose from. in how many different ways can sam color the sides of the triangle? (two colorings are considered the same if one coloring can be rotated and/or reflected to obtain the other coloring.)
There are 27 different ways for Sam to color the sides of the equilateral triangle, accounting for rotations and reflections.
We have,
To calculate the number of different ways Sam can color the sides of the equilateral triangle, we need to consider the symmetry of the triangle.
Since two colorings are considered the same if one coloring can be rotated and/or reflected to obtain the other coloring, we need to account for these symmetries.
Let's analyze the possibilities:
- All three sides have the same color:
There is only one way to color the triangle in this case.
- Two sides have the same color, and the third side has a different color: Sam can choose the color for the two sides in 5 ways and the color for the remaining side in 4 ways (since it must be different from the other two colors).
However, we need to divide this by 3 to account for the different rotations of the equilateral triangle.
Thus, there are (5 x 4) / 3 = 20 / 3 = 6.67 (approx) ways to color the triangle in this case.
Since the number of colorings must be a whole number, we consider this as 6 ways.
- All three sides have different colors:
Sam can choose the color for the first side in 5 ways, the color for the second side in 4 ways (since it must be different from the first), and the color for the third side in 3 ways (since it must be different from the first two).
However, we need to divide this by 6 to account for the different rotations and reflections of the equilateral triangle.
Thus, there are (5 x 4 x 3) / 6 = 20 ways to color the triangle in this case.
In total, the number of different ways Sam can color the sides of the equilateral triangle is:
= 1 + 6 + 20
= 27.
Thus,
There are 27 different ways for Sam to color the sides of the equilateral triangle, accounting for rotations and reflections.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ12
pls help as soon as possible
Answer:
42x-27
Step-by-step explanation:
a drawer contains 11 identical red socks and 8 identical black socks. suppose that you choose 2 socks at random in the dark. a. what is the probability that you get a pair of red socks? b. what is the probability that you get a pair of black socks? c. what is the probability that you get 2 unmatched socks? d. where did the other red sock go?
The drawer contains 11 identical red socks and 8 identical black socks. Here are the answers to the questions below
a. The probability of getting a pair of red socks is the probability of selecting two red socks, 55/171b. The probability of getting a pair of black socks is the probability of selecting two black socks, 28/171c. The probability of getting two unmatched socks is the sum of the probability of selecting a red sock first and a black sock second and the probability of selecting a black sock first and a red sock second, 88/171d. It's not clear from the information givenProblem statementa. What is the probability that you get a pair of red socks?The probability of getting a pair of red socks is the probability of selecting two red socks, which is: P(Red and Red) = P(Red) × P(Red | Red was first) = (11/19) × (10/18) = 55/171.
b. What is the probability that you get a pair of black socks?The probability of getting a pair of black socks is the probability of selecting two black socks, which is: P(Black and Black) = P(Black) × P(Black | Black was first) = (8/19) × (7/18) = 28/171.
c. What is the probability that you get 2 unmatched socks?The probability of getting two unmatched socks is the sum of the probability of selecting a red sock first and a black sock second and the probability of selecting a black sock first and a red sock second: P(Red and Black or Black and Red) = P(Red) × P(Black | Red was first) + P(Black) × P(Red | Black was first) = (11/19) × (8/18) + (8/19) × (11/18) = 88/171.
d. Where did the other red sock go? It's not clear from the information given. It could be missing or misplaced, or it could be in the drawer, but the problem doesn't provide enough information to determine what happened to it.
See more about probability at: https://brainly.com/question/24756209
#SPJ11
Question 8 (4 points)
For a meat raffle, 100 tickets were sold.
The following were prizes:
number of winners
1
4
15
prize
grand prize - $1000 cash
$250 meat package
$50 meat package
What is the probability of winning the grand prize? 1/20
What is the expected value for someone buying a single ticket for $10.00 ? $