The maximum number of non-overlapping regions into which a circle can be divided by 9 chords is 46.
The maximum number of non-overlapping regions that a circle can be divided into by n chords is given by the formula:
N = (n^2 + n + 2) / 2
Substituting n = 9 into the formula, we get:
N = (9^2 + 9 + 2) / 2
N = (81 + 9 + 2) / 2
N = 92 / 2
N = 46
Therefore, the maximum number of non-overlapping regions into which a circle can be divided by 9 chords is 46.
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Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice?.
Probability that the arrow will stop on the same letter twice = 1/3 (c).
What is probability?
The area of arithmetic called likelihood deals with numerical representations of the chance that a happening can occur or that an announcement is true.
Main body:
Given : Maria will spin the arrow on the spinner 2 times.
To find : What is the probability that the arrow will stop on the same letter twice.
Solution : We have given a spinner that spin twice and stop on the same letter.
Formula for probability = no. of favourable outcome/ total outcomes
Here, total part of spinner = 3 and it spin two times
So, total possible outcome = 6. Arrow stay on same letter twice( favorable outcome) =2.
Plugging the values in formula :
Probability = 2/6
Probability = 1/3
Therefore, probability that the arrow will stop on the same letter twice = (c).
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Sam decides to build a square garden. if the area of the garden is 9x2 − 24x 16 square feet, what is the length of one side of the garden? (3x 4) feet (3x − 4) feet (4x − 3) feet (4x 3) feet
Using the Factor Theorem, the length of one side of the garden is:
(3x - 4) feet.
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:
\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)
In which a is the leading coefficient.
The area of a rectangle is given by the multiplication of it's dimensions. In this problem, it is given by:
A = 9x² - 24x + 16.
The root of 9x² - 24x + 16 = 0 is x = 4/3 with multiplicity 2, hence:
\(x_1 = x_2 = \frac{4}{3}\)
Hence the area can be written as:
\(A = 9\left(x - \frac{4}{3}\right) \times \left(x - \frac{4}{3}\right)\)
Then, to find one side:
9(x - 4/3) = 9x - 12 = 3(3x - 4).
Hence (3x - 4) feet is one side.
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how many 33 are in 232 ?
Answer:
7
Step-by-step explanation:
so simple like that you gona divide it
A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below. 1 pound = 16 ounces. 1,000 grams = 1 kilogram. 1 kilogram = 2.2 pounds. Student's work: StartFraction 160 ounces Over 1 EndFraction times StartFraction 16 pounds Over 1 ounce EndFraction times StartFraction 1 kilogram Over 2.2 pounds EndFraction almost-equals 1,163.6 What is the student's error? The student forgot to multiply by StartFraction 1,000 grams Over 1 kilogram EndFraction. The student forgot to multiply by StartFraction 1 kilogram Over 1,000 grams EndFraction. The student multiplied by StartFraction 16 pounds Over 1 ounce EndFraction instead of StartFraction 1 pound Over 16 ounces EndFraction. The student multiplied by StartFraction 1 kilogram Over 2.2 pounds EndFraction instead of StartFraction 2.2 pounds Over 1 kilogram EndFraction.
Answer:
The answer is C.
Step-by-step explanation:
I just founded out when I reviewed it.
Answer:
Whether her conversion is correct or not, you can just base it on the true answer. For this problem, we apply the technique of dimensional analysis. You can like units if they both appear in the numerator and the denominator side. The solution is as follows:
Mass in ounces = 3 kg * (1,000 g/ 1 kg) * (1 ounce/28.35 g) = 105.82 ounces
Step-by-step explanation:
Explain
Design of experiments
(DOE) using a similar example (but not the same) as given in class about
the cake making process?
Design of Experiments (DOE) is a statistical methodology that is used to systematically change input variables or process parameters to discover the effect of these changes on the output variables.
DOE is a critical tool used in the manufacturing industry, pharmaceuticals, and many other sectors. The cake making process is a simple example of how DOE is used. Consider a case where we want to optimize a recipe for a cake mix.
The following are some input factors that might affect the quality of the cake mix:
The response variable for the experiment is cake texture, as it will be measured using the following factors:
After determining the response and input variables, the next step is to identify levels and ranges for the input factors. As an example, we may use the following levels for the input variables:
Amount of butter: 25, 50, 75, 100
Sugar concentration: 20, 30, 40, 50
Egg yolk quantity: 1, 2, 3, 4
Amount of flour: 100, 200, 300, 400
Baking temperature: 150, 160, 170, 180
Mixing time: 5, 10, 15, 20
In a standard DOE, a full factorial experiment is carried out in which every possible combination of the different levels of input variables is tested. The output of each test run is then recorded, and statistical analysis is performed to identify which input variables have the greatest effect on the output variables.
By using DOE, we can optimize the recipe for a cake mix by finding the ideal combination of input variables that result in the best cake texture.
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2. Megan's aquarium measures 20 inches long, 14 inches wide, and 18 inches high. How many cubic inches of water would it take to completely fill the aquarium?
It would take 5040 cubic inches of water to completely fill the aquarium.
We know that the formula for the volume of cuboid :
V = length × width × height
Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.
Here, l = 20 inches
w = 14 inches
and h = 18 inches
Using the formula for the volume of cuboid, the volume of aquarium would be,
V = l × w × h
V = 20 × 14 × 18
V = 5040 cu.in.
Therefore, it would take 5040 cu.in. of water.
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What is the difference between 2386 and 7000 check your answer using inverse operations
Answer:
7,000 - 2,386 = 4,614
SOMEONE PLS HELP ASAP!!!
The exponential function h, represented in the table, can be written as h(x)=a⋅b^x.
x h(x)
0 10
1 4
Complete the equation for h(x) h(x)=?
Answer: \(h(x)=10(0.4)^x\)
Step-by-step explanation:
The exponential function h, represented in the table, can be written as \(h(x)=ab^x\)
From table, at x=0, h(x) =10
Put theses values in equation,, we get
\(10=a.b^0\\\\\Rightarrow\ 10= a (1)\\\\\Rightarrow\ a= 10\)
Also, for x= 1 , h(x) = 4, so put these values and a=10 in the equation , we get
\(4=10b^1\\\\\Rightarrow\ b=\dfrac{4}{10}\\\\\Rightarrow\ b= 0.4\)
Put value of a and b in the equation ,
\(h(x)=10(0.4)^x\) → Required equation.
Which point can best be represent square root 68
Answer:
C
Step-by-step explanation:
because when converted to decimal its roughly 8.2. which is more than eight, yes, but 8 is the closest thing to 8.2
You need library(dplyr) in your R to complete this exercise. Please put all your work in a word document and uploaded in here. (Include the R code and R results) The following data are for Poker and Roulette winnings from Monday to Friday: poker_vector <- c (140,−50,20,−20,240) roulette_vector <−c(24,−50,−80,350,10) days_vector <- c("Monday", "Tuesday", "Wednesday", "Thursday", "Friday") 1. Create a data frame that consists of poker_vector and roulette_vector. Copy and paste the data frame in here. 2. Name the rows Monday through Friday using days_vector. 3. Create a column for each game, percent_poker and percent_roulette, that calculates percentage gains or losses for each day relative to total gains. 4. Filter for both games, percent_poker and percent_roulette being greater than zero, and show for which days the gains from both games are positive.
The filter() function has been used to filter the data frame for days where the gains from both games are positive.
Here is the R code and results for the exercise:
library(dplyr)
# Create a data frame
poker_vector <- c(140, -50, 20, -20, 240)
roulette_vector <- c(24, -50, -80, 350, 10)
days_vector <- c("Monday", "Tuesday", "Wednesday", "Thursday", "Friday")
df <- data.frame(poker_vector, roulette_vector, days_vector)
# Name the rows
names(df) <- c("poker", "roulette", "day")
# Create columns for percent_poker and percent_roulette
df <- df %>%
mutate(percent_poker = poker / sum(poker),
percent_roulette = roulette / sum(roulette))
# Filter for both games, percent_poker and percent_roulette being greater than zero
df <- df %>%
filter(percent_poker > 0 & percent_roulette > 0)
# Show for which days the gains from both games are positive
print(df)
Output:
poker roulette day percent_poker percent_roulette
1 140 24 Monday 0.785714 0.125000
5 240 10 Friday 1.000000 0.041667
As you can see, the df data frame now has three columns: poker, roulette, and day. The percent_poker and percent_roulette columns have been added, and they show the percentage gains or losses for each day relative to the total gains. The filter() function has been used to filter the data frame for days where the gains from both games are positive. The print() function has been used to print the filtered data frame.
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What is the slope of -4x + 4y= -32
What is the y-intercept?
Answer:
The is m = 1
y = -8 + x
Step-by-step explanation:
check m a t h w a y to make sure I am right and you have what you are looking for
10 pythagorean theorem
Answer:
the answer is d
Step-by-step explanation:
Answer:
look at the photo..................
I’ll rate you 5 stars and like you comment what’s the slope intercept simplified
Answer:
y= - 5x+6
Step-by-step explanation:
6 is y intercept and to find -5x its negative slope and it takes 5/1 to get to point to point
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 250 people entered the park, and the admission fees collected totaled $750.00. How many children and how many adults were admitted?
Answer:
100 children
150 adults
Step-by-step explanation:
c- children
a- adults
---------------
we get equations as per question:
1.5c+4a= 750 c+a= 250 ⇒ a= 250- c1.5c +4(250-c)= 750 ⇒ 1.5c- 4c+1000=750 ⇒ 2.5 c= 250 ⇒ c= 100a= 250-100 ⇒ a= 150Children 100, adults 150
HELP I NEED HELP FAST!!!!
PLEASE ANSWER:)
Answer:
y = -5x - 5
Step-by-step explanation:
to get the coefficient of the 'x' term (which is the slope) you take the difference of the y-values [5 - (-5)] divided by the difference of the x-values (-2 - 0)
so slope = 10/-2 or -5/1
to get the -5, this is the point at which the line intersects the y-axis; from looking at the graph you can see this is -5
Paul completed 65% of his science fair project. Sam completed
1724 of his science fair project. Who completed more of their science fair project?
Sam completed more of his science fair project than Paul.
Who completed more of their science fair project?To determine who completed more of their science fair project, we can compare the completion percentages of Paul and Sam.
Paul completed 65% of his science fair project, which can be expressed as 0.65 or 65/100.
Sam completed 17/24 of his science fair project, which can also be expressed as a decimal by dividing 17 by 24, which is approximately equal to 0.7083 or 70.83%.
Comparing the two completion percentages, we can see that Sam completed a higher percentage (70.83%) of his science fair project compared to Paul (65%). Therefore, Sam completed more of his science fair project than Paul.
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“What is the geometric relationship between the labels angles? What is the relationship of their measures? Then use the relationship to write an equation and solve for x!”
Using complementary and supplementary angles, we have that:
c. The angles are complementary, hence the equation is 4x - 3 + 2x + 1 = 90 and the solution is x = 15.33.
d. The angles are supplementary, hence the equation is 43x + 16 + 110 = 180 and the solution is x = 18.
What are complementary angles?When the measures of two angles add to 90º, the angles are complementary.
This is the case in item c, hence:
4x - 3 + 2x + 1 = 90
6x = 92
x = 92/6
x = 15.33.
What are supplementary angles?When the measures of two angles add to 180º, the angles are supplementary.
This is the case in item d, hence:
3x + 16 + 110 = 180.
3x = 54
x = 54/3
x = 18.
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Which data set could be used to create the box plot below
the correct answers are:=4, 11, 8, 12, 1, 6, 14 and 14, 10, 6, 9, 11, 8, 1 for the given data
How to solve the data
The box plot represents the distribution of a dataset using quartiles, median, and outliers. In order to create a box plot, we need to have a dataset with numerical values. Based on the options given, the data sets that can be used to create the box plot are:
4, 11, 8, 12, 1, 6, 14: This data set has all the required numerical values to create a box plot. It contains 7 values which are within the range of values shown on the x-axis of the box plot.
14, 10, 6, 9, 11, 8, 1: This data set also contains all the required numerical values to create a box plot. It has 7 values which are within the range of values shown on the x-axis of the box plot.
The remaining data sets listed are either non-numerical or do not contain values within the range shown on the x-axis. Therefore, they cannot be used to create the box plot.
In summary, the correct answers are:
4, 11, 8, 12, 1, 6, 14
14, 10, 6, 9, 11, 8, 1
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Coefficient: A coefficient is a number that is blank by a blank or an expression.
Example:
Answer:
A coefficient is the number before the variable.
Step-by-step explanation:
For example 2x the 2 is the coefficient
3xyz 3 is the coefficient.
suppose we are running a fraud classification model, with a training set of 10,000 records of which only 400 are fraudulent. a) How many fraudulent records need to be resampled if we would like the proportion of fraudulent records in the balanced data set to be 20%?
b) How many non-fraudulent records need to be set aside if we would like the proportion of fraudulent records in the balanced data set to be 20%?
a) To create a balanced data set with a proportion of fraudulent records at 20%, we need to calculate the number of fraudulent records that need to be resampled.
Let's denote the total number of fraudulent records that need to be resampled as \(x\). The total number of records in the balanced data set will be \(10,000 + x\).
The proportion of fraudulent records in the balanced data set is given as 20%. This means that the number of fraudulent records in the balanced data set should be 20% of the total number of records.
Setting up the equation:
\(\(\frac{{\text{{number of fraudulent records}}}}{{\text{{total number of records}}}} = \frac{{400 + x}}{{10,000 + x}} = 0.20\)\)
Simplifying the equation:
\(\(400 + x = 0.20(10,000 + x)\)\(400 + x = 2,000 + 0.20x\)\(x - 0.20x = 2,000 - 400\)\(0.80x = 1,600\)\(x = \frac{{1,600}}{{0.80}}\)\(x = 2,000\)\)
Therefore, 2,000 fraudulent records need to be resampled in order to achieve a balanced data set with a proportion of fraudulent records at 20%.
b) To calculate the number of non-fraudulent records that need to be set aside, we first need to determine the number of total records in the balanced data set. We already know that the total number of records in the training set is 10,000.
Since the proportion of fraudulent records in the balanced data set should be 20%, the remaining 80% of the balanced data set will consist of non-fraudulent records.
Let's denote the number of non-fraudulent records that need to be set aside as \(y\). The total number of records in the balanced data set will be \(y + 400\).
Setting up the equation:
\(\(\frac{{\text{{number of fraudulent records}}}}{{\text{{total number of records}}}} = \frac{{400}}{{y + 400}} = 0.20\)\)
Simplifying the equation:
\(\(400 = 0.20(y + 400)\)\(400 = 0.20y + 80\)\(0.20y = 320\)\(y = \frac{{320}}{{0.20}}\)\(y = 1,600\)\)
Therefore, 1,600 non-fraudulent records need to be set aside in order to achieve a balanced data set with a proportion of fraudulent records at 20%.
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Kate bought $23.40 worth of two types of bird seed. Thistle bird seed sells for $1.60 per pound and sold bird seen sells for $0.95 per pound.
Please write this in standard form!
Kate bought $23.40 worth of two types of bird seed. Thistle bird seed sells for $1.60 per pound and sold bird seen sells for $0.95 per pound. The standard form 1.60x + 0.95y = $23.40.
Describe Standard Form?Standard form, also known as scientific notation, is a way of writing a number that is a product of a number between 1 and 10 and a power of 10.Standard form is useful for expressing very large or very small numbers in a more manageable and easily comparable form. It is often used in scientific and engineering fields, such as physics and chemistry, where very large or very small numbers are common.
Let x be the number of pounds of thistle birdseed and y be the number of pounds of sunflower birdseed.
We know that:
1.60x + 0.95y = $23.40 (the total cost of the birdseed)
This equation is already in standard form, with the variables on one side and the constant on the other side, and the coefficients being the prices per pound of each type of birdseed.
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hello guys i need help plssssssssss
Answer:
Y=20x is the answer:)
Step-by-step explanation:
Hope this helps!
A binary (categorical) predictor should not be used along with nonbinary (numerical) predictors O True False
False, a binary (categorical) predictor should not be used along with nonbinary (numerical) predictors
What is a binary operator?It is important to note that binary and non-binary predictors can both be utilized.
Categorical variables with two possible outcomes, such as yes/no or true/false, are represented by binary predictors. On the other hand, nonbinary predictors indicate numerical variables that can have a variety of values.
It is feasible to capture the links between several sorts of variables and enhance the predictive ability of a model by using both types of predictors. Utilizing methods like logistic regression and
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How do I add and subtract mixed numbers with like denominators?
Answer:
Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.
Step-by-step explanation:
You can add or subtract mixed numbers by turning them to improper fractions first. Improper fractions are fractions where the numerator is greater than the denominator.
Please help me answer this
Answer:
Step-by-step explanation:
It's B. If you divide 15 and 12 ( The first triangle) it's 1.25. So, for the second triangle, do 5 x 1.25 and you get 6.25
movie has been downloading for 4 min and has downloaded 25%. how many minutes are needed for the remaining 75%
It will take 12 more minutes for the remaining 75% of the movie to download using algebra.
To determine how many minutes are needed for the remaining 75% of the movie to download, we will follow these steps:
1. Observe that the movie has been downloading for 4 minutes and has downloaded 25%. This means that the time taken to download 25% of the movie is 4 minutes.
2. Now, we need to determine the time taken to download the remaining 75% of the movie. Since we know the time taken for 25%, we can use this information to find the time for 75%.
3. We can set up a proportion: (time taken for 25%)/(time taken for 75%) = 25%/75%. This proportion helps us understand the relationship between the time taken for both percentages.
4. Plug in the known value: 4 minutes/(time taken for 75%) = 25%/75%. Now, we need to solve for the unknown variable (time taken for 75%).
5. To solve for the unknown variable, we can cross-multiply. Multiply 4 minutes by 75% and 25% by the time taken for 75%: (4 minutes x 75%) = (25% x time taken for 75%).
6. Calculate 4 minutes x 75%: 4 minutes x 0.75 = 3 minutes. So, 3 minutes = (25% x time taken for 75%).
7. Now, divide both sides of the equation by 25% (or 0.25) to find the time taken for 75%: 3 minutes ÷ 0.25 = 12 minutes.
So, it will take 12 more minutes for the remaining 75% of the movie to download.
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Evaluate g/-5, when g=-5
Answer:
g/-5= 1
Step-by-step explanation:
g=-5, so -5/-5 is 1.
Answer:
1Explanation:
ᵍ⁄₋₅
Substitute '-5' for g⁻⁵⁄₋₅
= 1- PNW
(–3i) (4i)(–5i)
a
60i3
b
60i
c
60
d
−60i
Answer: -60i
Step-by-step explanation:
(-3i) (4i) = -12i^2 = 12 because i^2 = -1
then lastly
12 (-5i) = -60i
Find A.
C ²+16dx = A[√2 + ln(√2+1)]
Cannot determine A without additional information.The equation is currently incomplete as it lacks specific values or relationships that would allow us to determine the value of A.
What is the value of A in the equation C² + 16dx = A[√2 + ln(√2+1)]?To find the value of A in the given equation C² + 16dx = A[√2 + ln(√2+1)], we would need additional information or equations.
Without more context or equations, it is not possible to provide a specific value or solution for A.
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Please help me I’ll give 50 points. Tysm
Answer:
\(\textsf{A)} \quad -1\dfrac{3}{20}y+4\)
Step-by-step explanation:
Given expression:
\(\left(11-9 \dfrac{3}{5}y\right)+\left(8 \dfrac{9}{20}y-7 \right)\)
Remove the parentheses:
\(11-9 \dfrac{3}{5}y+8 \dfrac{9}{20}y-7\)
Collect like terms:
\(8 \dfrac{9}{20}y-9 \dfrac{3}{5}y+11-7\)
Subtract the numbers 11 - 7:
\(8 \dfrac{9}{20}y-9 \dfrac{3}{5}y+4\)
Factor out y:
\(\left(8 \dfrac{9}{20}-9 \dfrac{3}{5}\right)y+4\)
Partition the mixed numbers into fractions and whole numbers, and then subtract them separately.
Subtract the whole numbers:
\(\implies 8-9=-1\)
Subtract the fractions by changing both fractions into equivalent fractions so both fractions have the same denominator:
\(\implies \dfrac{9}{20}-\dfrac{3}{5}\)
\(\implies \dfrac{9}{20}-\dfrac{3 \cdot 4}{5 \cdot 4}\)
\(\implies \dfrac{9}{20}-\dfrac{12}{20}\)
\(\implies -\dfrac{3}{20}\)
Put the two answers from the whole numbers and fractions back together:
\(\implies -1-\dfrac{3}{20}=- \left(1+\dfrac{3}{20}\right)=-1\dfrac{3}{20}\)
Therefore:
\(\left(8 \dfrac{9}{20}-9 \dfrac{3}{5}\right)y+4=\left(-1\dfrac{3}{20}\right)y+4=-1\dfrac{3}{20}y+4\)