To ensure that Circles X are congruent to Circle A, you need to ensure that they have the same size and shape. In other words, the radii of Circle X should be equal to the radius of Circle A.
Here are the steps you can follow to draw congruent Circles X:
Use a compass to measure the radius of Circle A.
Without changing the radius setting on your compass, place the tip of the compass at the center of where you want to draw Circle X.
Draw Circle X using the compass, making sure that the radius is the same as the radius of Circle A.
Check that Circle X and Circle A have the same size and shape. You can do this by measuring their radii with a ruler or by comparing their circumference.
By following these steps, you can ensure that Circle X is congruent to Circle A.
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1. a) Given the relation, {(-3, 1), (-2, 0), (1, 2), (3, 4), (-3,5)},
Domain Range
The Marine Discovery Aquarium sells ocean-themed cookies in their gift shop. Last month, they sold 65 shark cookies and 85 clown fish cookies. The cookies were so popular that they want to order more cookies this month. They plan to order 170 clown fish cookies this month. If they keep the same ratio, how many shark cookies should they order this month?
Answer:
130 shark cookies
Step-by-step explanation:
Number of shark cookies sold last month = 65
Number of clown fish cookies sold last month = 85
Ratio = \(65:85=13:17\)
Now, the Marine Discovery Aquarium plans to order 170 clown fish cookies this month.
So,
Number of shark cookies : Number of clown fish cookies = \(13:17\)
Number of shark cookies : 170 = \(13:17\)
Therefore,
Number of shark cookies = \(\frac{13}{17}(170)=130\)
order to create the box plot:
Answer:
b
Step-by-step explanation:
ii) What is the base of and exponent of −24 ? Base: Exponent:
The base and exponent of −2^4 are
Base: -2
Exponent: 4
How to determine the base and the exponentFrom the question, we have the following parameters that can be used in our computation:
-2^4
In the expression -2^4, -2 is the base and 4 is the exponent.
The base is the number that is being multiplied by itself and the exponent is the number of times the base is being multiplied by itself.
In this case the base is -2 and the exponent is 4.
So the expression -2^4 means -2 multiplied by itself 4 times.
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help!!! urgent this is timed
Answer:
14) 3/10 or 30% or 0.30
15) 1/10 or 10% or 0.10
16) 5/10 or 50% or 0.50
17) 6/10 or 60% or 0.60
18) 5/10 or 50% or 0.50
what is the simplified form of 3√135?
Answer:
1) expand the radical by seperating it according to its factors;
\(3\sqrt{135}\)
\(3\sqrt{27*5}\)
3\(\sqrt{9*3*5}\)
SINCE 9 is a PERFECT SQUARE WE CAN TAKE IT OUTSIDE THE RADICAL, BUT WE MUST TAKE THE SQUARE ROOT OF IT BEFORE WE CAN TAKE IT OUT OF THE RADICAL:
sqrt9=3
so
3*3\(\sqrt{3*5}\)
9\(\sqrt{15}\)
When gathering eggs from the hen house, John can collect 12 eggs every 3 minutes. Which graph correctly represents the unit rate for this proportional relationship?
Answer: I don’t see the graph options but the unit rate is 4 eggs every minute
Step-by-step explanation:
Answer:
if i does not understand bad its
12 24 36 48 60 72 84
1 . 2 . 3 . 4 . 5 . 6 . 7
Step-by-step explanation:
es facil con solo contar de 12 en 12
help, please i have a quiz very soon like in 1 hour
Answer:
(1 , 4)
Step-by-step explanation:
x=1
y=4
The range of the set of the values 7, 3, 6, 9 and 5 =
Answer:
6
Step-by-step explanation:
Since the range of a set is the difference between the highest and the lowest value in that set, the range here is:
9 - 3 = 6
Allows the researcher to claim causation between an explanatory variable and a response variable.
A designed experiment allows the researcher to claim causation between an explanatory variable and a response variable.
A series of runs, also known as tests, in which you intentionally alter the input variables simultaneously and track the outcomes constitute a designed experiment. In the business world, designed experiments can be employed to methodically explore the process or product variables that influence product quality.
Design of experiments is defined in the quality glossary. The term "design of experiments" (DOE) refers to a subfield of applied statistics that focuses on the planning, carrying out, analyzing, and interpreting of controlled experiments to determine the variables that affect the value of a parameter or set of parameters.
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∠EFG and ∠GFH are a linear pair, m∠EFG 3n+17, and m∠GFH 5n+27. What are m∠EFG and m∠GFH?
Please help asap.
Answers:
m∠EFG = 68 degreesm∠GFH = 112 degrees=============================================================
Explanation:
As the name suggests, "linear pair" means the angles form a straight line when glued together. Therefore, the angle measures add to 180 degrees. We consider them supplementary angles.
So,
(angle EFG) + (angle GFH) = 180
(3n+17) + (5n+27) = 180
(3n+5n) + (17+27) = 180
8n+44 = 180
8n = 180-44
8n = 136
n = 136/8
n = 17
Then we can find each angle
angle EFG = 3n+17 = 3*17+17 = 51 + 17 = 68angle GFH = 5n+27 = 5*17+27 = 85+27 = 112In short,
angle EFG = 68 degreesangle GFH = 112 degreesAdding those angles gets us 68+112 = 180 to confirm we have the correct answers.
Answer:
∠EFG = 68°
∠GFH = 112°
Step-by-step explanation:
Linear pair: Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).
Therefore, if ∠EFG and ∠GFH are a linear pair, their sum is 180°.
⇒ ∠EFG + ∠GFH = 180°
⇒ (3n + 17) + (5n + 27) = 180
⇒ 3n + 17 + 5n + 27 = 180
⇒ 3n + 5n + 17 + 27 = 180
⇒ 8n + 44 = 180
⇒ 8n + 44 - 44 = 180 - 44
⇒ 8n = 136
⇒ 8n ÷ 8 = 136 ÷ 8
⇒ n = 17
To find the measures of ∠EFG and ∠GFH, substitute the found value of n into the expression for each angle:
⇒ ∠EFG = 3(17) + 17 = 68°
⇒ ∠GFH = 5(17) + 27 = 112°
Check by adding them together:
⇒ ∠EFG + ∠GFH = 68° + 112° = 180°
This confirms that the two angles are a linear pair.
PLS HELP FAST if all three angles of a triangle are 60 degrees, what are the length of the side(s)?
Answer:
180
Step-by-step explanation:
the lengths are all 180 because 60 degrees times three sides is 180 so the length of one side is 180.
The random variable is the three digit number formed after putting the digits in ascending order. You roll three colored dice: 3 6 4 Give the random variable. r.v. =
r.v. = 346 The result is 346, which is the random variable. Therefore, the random variable for this problem is 346.
A random variable is a variable whose value depends on the outcome of a random event. It is a set of possible values, which is also known as a sample space. In this question, the random variable is the three-digit number that is formed after putting the digits in ascending order.You rolled three colored dice with the numbers 3, 6, and 4. To find the random variable, you need to arrange the digits in ascending order, which means from smallest to largest. The result is 346, which is the random variable.
A random variable is a variable whose value depends on the outcome of a random event. It is a set of possible values, which is also known as a sample space. In this question, the random variable is the three-digit number that is formed after putting the digits in ascending order.You rolled three colored dice with the numbers 3, 6, and 4. To find the random variable, you need to arrange the digits in ascending order, which means from smallest to largest.
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Jenna's brother borrowed $200 from her to buy a tablet. She will charge him 3% simple interest. Her brother says he will pay her back in 6 months. What is the total amount he will pay back?
Answer:
personally I believe its 6..
Step-by-step explanation:
10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6
Answer:
$203
Step-by-step explanation:
To find the cost he pays back you need to mulitply 200 x 3% x 6 months.
Because you can't multiply with different units, you convert them to the same unit. (Numeric form)
To convert, we divide 3% by 100 and get 0.03
6 MONTHs is equal to 1/2 of a year which is also 0.5.
Now that all of our numbers are using the same units, we can multiply.
200(0.03)(0.5)
200 x 0.03 is 6
6 x 0.5 is 3.
We need to add the total amount her brother pays her back and the interest.
He pays her $200 for the Tablet and gives her $3 for the interest.
200+3=203.
HURRY PLEASE A fifth-degree polynomial function has a zero at z = -3 with a multiplicity of 2. It also has a zero at z = 2 with a multiplicity of 3. The value of the
function is negative when z = -4
Which graph could model this polynomial function?
The graph of the polynomial function is given by the following option:
Not C or D.
How to obtain the graph of the polynomial function?At z = -3, the function has a zero with an even multiplicity of 2, meaning that the graph of the function turns at z = -3, due to the even multiplicity.
At z = 2, the function has a zero with an odd multiplicity of 3, meaning that the graph of the function crosses the x-axis at z = 2, due to the odd multiplicity.
At z= -4, the function is negative, hence it becomes positive at z = 2 and goes towards infinity.
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When you are analyzing the relationship between two continuous variables, how should you plot the data?.
Answer:
Scatterplot.
Step-by-step explanation:
Scatterplots help in analyzing the relationship between two continuous variables
what part of the expansion of a function f[x] in powers of x best reflects the behavior of the function for x's close to 0?
The coefficient of the x term in the expansion of f[x] best reflects the behavior of the function for x's close to 0.
The behavior of a function for x values close to 0 can be understood by examining its expansion in powers of x. When a function is expanded in a power series, each term represents a different order of approximation to the original function. The coefficient of the x term, which is the term with the lowest power of x, provides crucial information about the behavior of the function near x = 0.
In the expansion of f[x] = a0 + a1x + a2x² + ..., where a0, a1, a2, ... are the coefficients, the term with the lowest power of x is a1x. This term captures the linear behavior of the function around x = 0. It represents the slope of the function at x = 0, indicating whether the function is increasing or decreasing and the rate at which it does so. The sign of a1 determines the direction of the slope, while its magnitude indicates the steepness.
By examining the coefficient a1, we can determine whether the function is increasing or decreasing, and how quickly it does so, as x approaches 0. A positive value of a1 indicates that the function is increasing, while a negative value suggests a decreasing behavior. The absolute value of a1 reflects the steepness of the function near x = 0.
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What is the value of (f - g)(5)?
Answer:
The value of (f/g)(5) is 270
Step-by-step explanation:
Answer:
it's 16
Step-by-step explanation:
on edg
In HMM let we have a sequence of observations o1o2o3 … o shortly describe: a) What is evaluation problem? b) What is decoding problem? c) What is learning problem?
A. In the evaluation problem, we calculate the likelihood of the observation sequence given the HMM model.
B.The decoding problem involves determining the most likely sequence of hidden states for a given observation sequence.
C.In the learning problem, we calculate the optimal model parameters given the observation sequence.
In Hidden Markov Model (HMM), let us consider a sequence of observations as o1o2o3…o. The evaluation problem, decoding problem, and learning problem in HMM are explained below:
a) Evaluation Problem: In the evaluation problem, we calculate the likelihood of the observation sequence given the HMM model. We use the forward algorithm to evaluate the model. The forward algorithm can be used to calculate the probability of the observation sequence in linear time relative to the length of the sequence.
b) Decoding Problem:The decoding problem involves determining the most likely sequence of hidden states for a given observation sequence. The Viterbi algorithm is used to solve the decoding problem. It finds the best sequence of hidden states that matches the observation sequence. The Viterbi algorithm is a dynamic programming algorithm that uses the forward algorithm.
c) Learning Problem:In the learning problem, we calculate the optimal model parameters given the observation sequence. We use the Baum-Welch algorithm to learn the parameters of the HMM model. The Baum-Welch algorithm is a variant of the Expectation-Maximization algorithm that iteratively refines the model parameters until they converge. It starts with an initial model and estimates the parameters that maximize the likelihood of the observation sequence.
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a) Evaluation problem: The evaluation problem in Hidden Markov Models (HMMs) involves determining the probability of a given sequence of observations, given a specific HMM model. In other words, it calculates the likelihood of the observed sequence occurring in the model.
Given an HMM model with its transition probabilities, emission probabilities, and initial state probabilities, the evaluation problem allows us to compute the probability of observing a particular sequence of observations. This is useful in various applications such as speech recognition, bioinformatics, and natural language processing. The evaluation problem is typically solved using the forward algorithm, which calculates the probability of being in each state at each time step, considering all possible paths leading to that state.
b) Decoding problem: The decoding problem in Hidden Markov Models involves finding the most likely sequence of hidden states that generated a given sequence of observations. It aims to infer the underlying states of the system based on the observed data.
In the decoding problem, we are interested in determining the most probable sequence of hidden states that generated a given sequence of observations. This is crucial in applications such as speech recognition, where we want to identify the most likely sequence of phonemes corresponding to an audio signal. The decoding problem is often solved using the Viterbi algorithm, which efficiently computes the most probable sequence of states by considering the transition probabilities and emission probabilities of the HMM.
c) Learning problem: The learning problem in Hidden Markov Models involves estimating the model parameters (transition probabilities, emission probabilities, and initial state probabilities) from a given set of observations. It aims to find the best-fitting model that explains the observed data.
In the learning problem, we have a set of observations but do not know the underlying model parameters of the HMM. The goal is to estimate these parameters based on the available data. This is done through a process called training or learning, where the model parameters are adjusted to maximize the likelihood of the observed data. The learning problem is typically solved using the Baum-Welch algorithm, also known as the forward-backward algorithm or the Expectation-Maximization (EM) algorithm. It iteratively updates the model parameters until convergence, maximizing the likelihood of the observed data given the HMM model.
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A pole 5 feet tall is used to support guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Zoe measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire to the nearest foot
The length of the guy wire to the nearest foot is 42 feet.
How to find the length of the guy wire?The pole 5 ft tall is used to support the guy wire for the tower, which runs from the tower to a metal stake in the ground.
The situations forms a right angle triangle.
Therefore, the length of the guy wire can be found as follows:
Using trigonometric ratios, we can find the angle the guy wire made with the ground.
tan ∅ = opposite / adjacent
tan ∅ = 5 / 15
∅ = tan ⁻¹ 1 / 3
∅ = 18.4349488057
∅ = 18.43°
Therefore, let's find the length of the guy wire using the angle.
cos 18.43° = adjacent / hypotenuse
0.94871060813 = 40 / h
h = 40 / 0.94871060813
h = 42.162488395
Therefore,
length of the guy wire = 42 feet
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Halppppppppppppp..............
Answer:
1 2/3, and -1 2/3
Step-by-step explanation:
Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.
what is the best big-o function for the worst case scenario analysis of a linar search of a list of size n (counting the number of comparisons)?
Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.
Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.
You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram
After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.
Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?
In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.
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a sample of size 20 is obtained, by sampling without replacement from a population of echidnas. let x represent the number of echidnas in this sample that have diets consisting mostly of termites. if 40% of the population have diets consisting mostly of termites, what is closest to the sd of x? group of answer choices
The correct option is D. Not enough information given; since to find the standard deviation sd of x, mean population of echidnas is required.
What is termed as the standard deviation?The standard deviation would be a statistic that calculates as the square root of a variance and assessments the dispersion of such a dataset relative to its mean. The standard deviation is defined as the square root of the variance by determining the deviation of each data point from the mean.For the given question,
The formula for the z score is -
z = (x - μ)/σ
where,
Sample size x = 20population percentage = 40%.sample mean μ ; not given.standard deviation σ ; is to be find.The z score can be calculated by the 40% population of the echidnas using the z score table.
But the given equation mean as well as the standard deviation is not given.
Thus, there is not a complete data to find standard deviation the population have diets consisting mostly of termites.
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The complete question is-
a sample of size 20 is obtained, by sampling without replacement from a population of echidnas. let x represent the number of echidnas in this sample that have diets consisting mostly of termites. if 40% of the population have diets consisting mostly of termites, what is closest to the sd of x? group of answer choices-
A. 1.9
B. 2.2
C. 4.8
D. Not enough information given.
Brianna is fishing on a pier 10 1/2 feet above sea level. Her hook is 20 3/4 feet below sea level.
What is the distance between Brihanny and her hook?
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Sparky weighs 7 times as much as solo. How much does solo weight
Answer:
Divide sparkys weight by 7 and theres your answer for solo
Step-by-step explanation: not enough info to get the number
7b^2 - 14b - 56 = 0
Solve by completing the square
Answer: 7(b-1)^2-63
Step-by-step explanation:
Factor out 7
7(b^2-2b-8)
Add and subtract (-1)^2:
7(b^2-2b-8+(-1)^2-(-1\)^2)
Complete the square:
7((b-1)^2-8-(-1)^2)
Simplify:
7(b-1)^2-63
There are 4 bikes and 12 children what is the ratio of bikes to children
Answer:1:3
Step-by-step explanation:
we can show this as 4:12=1:3
so ratio of bikes to children is 1:3
A single, six-sided die is rolled. Find the probability of rolling an odd number or a number less than 3The probablyis¿
When a die is rolled, the total possible outcome is;
\(\)The sample space are; 1,2,3,4,5,6.
Odd numbers are; 1,3,5
\(\)Numbers less than 3 are;
\(\)Probability of rolling an odd number and number less than 3 is;
\(\)Probability of rolling an odd number or number less than 3 is;
\(\)which of the following values are between 13% and 19%
a) 0.159
b) 0.0178
c) 15/1000
d) 17/100
the answers are a and b and c