Two points within a polygon are
connected. The line segment
created is not bounded by the
polygon. (In other words, the line
segment passes outside the object.)
This polygon could be considered:
convex
not convex
Answers
If a line segment connecting two points within a polygon passes outside the object, the polygon is not convex.
Explanation:
A polygon is a closed plane figure with straight sides, formed by connecting multiple line segments. A convex polygon is a polygon in which every interior angle is less than 180 degrees. In a convex polygon, any line segment connecting two points within the polygon is always bounded by the polygon, meaning that it does not pass outside the object.
On the other hand, a polygon that is not convex, also known as a concave polygon, has at least one interior angle greater than 180 degrees. In a concave polygon, a line segment connecting two points within the polygon can pass outside the object, creating a region that is not part of the polygon. Therefore, if a line segment connecting two points within a polygon passes outside the object, the polygon is not convex.
To learn more about polygon click here, brainly.com/question/24464711
#SPJ11
Related Questions
Below is a stem and leaf plot of the magnitude of earthquakes in the Philippines Islands region on Sept. 4th. This data was recorded by the USGS. Find the mediana. 53 b. 5.3 c. 0.53d. 53.5 e. 5.5 f. 5.2 g. 5.35
Answers
The median of the data set is 5.35.
To find the median, we need to first arrange the data set in order from smallest to largest. In this case, the data set is:
0.53, 5.2, 5.3, 5.35, 5.5, 53.
The median is the middle value of the data set. In this case, there are 6 values, so the median is the average of the 3rd and 4th values. In this case, 5.35 is the average of 5.3 and 5.35, so 5.35 is the median.
Therefore, the answer is 5.35 (Option d).
Median is a measure of central tendency and is used to describe a set of numerical values. It is the middle value when the values are arranged in ascending or descending order. It is the midpoint of a distribution and is often used as a measure of central tendency when the data is skewed or has outliers. The median is less affected by extreme values than the mean, making it a more accurate measure of the central location of the data.
To learn more about the average, visit:
brainly.com/question/14402983
#SPJ4
Which equation can be used to 500
(6x+12)
(2x+8)°
(3x-12)°
(7x-8)°
A
72 – 8= 2x + 8
B
(3x – 12) + (7x – 8) = 90
С
(7x – 8) + (6x + 12) = 180
D
6x + 12 = 7x - 8
Answers
Answer:
b
Step-by-step explanation:
Dominic is shopping at a store that is offering a discount of 15\%15%15, percent off the usual price of any item. Write an equation that represents the amount of discount offered (d) on an item whose usual price is p. How much discount does Dominic receive on an item whose usual price is 80pounds
Answers
The equation that represents the amount of discount offered (d) on an item whose usual price is p d = 0.15p.
The discount on 80 pounds will be 12 pounds.
How to calculate the equation?From the information given, Dominic is shopping at a store that is offering a discount of 15 percent off the usual price of any item.
Let the price of the item be illustrated as p.
Since there's a 15% off, this will be:
= p - (15% × p)
= p - 0.15p
= 0.85p
The discount is 0.15p
The discount on 80 pounds will be:
= 0.15 × 80
= 12
The discount is 12 pounds.
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
Estimate and then solve 8,784 ÷ 61 = ___.
Answers
Answer:
8784/61
144#
Mark as a brainlist
Answer:
144
Step-by-step explanation:
i did it
XYZ corporation makes widgets. 1% of the widgets are defective. XYZ manufactures 100,000 widgets, the number of defective widgets is expected to be ....
Answers
XYZ corporation can expect to have 1000 defective widgets out of the 100,000 widgets produced.
If 1% of the widgets produced by XYZ corporation are defective, then the expected number of defective widgets in a sample of 100,000 widgets can be calculated as follows:
Expected number of defective widgets = 1% x 100,000 = 0.01 x 100,000 = 1000
Therefore, XYZ corporation can expect to have 1000 defective widgets out of the 100,000 widgets produced. However, it is important to note that this is just an expected value, and the actual number of defective widgets may vary from this value due to random variation.
To know more about corporation refer to-
https://brainly.com/question/31313496
#SPJ11
1)
Ahmad does a statistical experiment.
He throws a dice 600 times.
He scores one, 200 times.
Is the dice fair? Explain your answer
Answers
Answer:
The dice is not fair.Step-by-step explanation:
600 times
and
6 sides to said dice
600 / 6 = 100100 is NOT 200100≠(Not equal sign)200
----------------------------------------------
I would recommend writing/typing all of this as your answer.
Hope I helped!!
Find the solution of the differential equation that satisfies the given initial condition. 5. (ex + y)dx + (2 + x + yey)dy = 0, y(0) = 1 6. (x + y)2dx + (2xy + x2 – 1)dy = 0, y(1) = 1
Answers
5. The solution to the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with y(0) = 1 is y = 2e^(-x) – x – 1. 6. The solution to the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with y(1) = 1 is y = x – 1.
5. To solve the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with the initial condition y(0) = 1, we can use the method of exact differential equations. By identifying the integrating factor as e^(∫dy/(2+yey)), we can rewrite the equation as an exact differential. Solving the resulting equation yields the solution y = 2e^(-x) – x – 1.
To solve the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with the initial condition y(1) = 1, we can use the method of separable variables. Rearranging the equation and integrating both sides with respect to x and y, we obtain the solution y = x – 1.
These solutions satisfy their respective initial conditions and represent the family of curves that satisfy the given differential equations.
Learn more about Separable variables here: brainly.com/question/30417970
#SPJ11
The cost of a school dance is given by the formula: c = 2p + 500 where c represents the total cost in dollars, and p the number of students attended. How many students can attend the school dance if we have $1,672 to spend on the dance?
Answers
Answer:
586 students can attend the school dance if we have $1,672 to spend on the dance.
Step-by-step explanation:
1672 = 2p + 500 Subtract 500 from both sides of the equation
1172 = 2p Divide both sides of the equation by 2
586 = p
what is -4+6x=-y in standard form
Answers
Answer:
6x-y=4
Step-by-step explanation:
A student designed a flag for the school's Gaming Club. The design is rectangular with vertices at (3, 7), (11, −9), and (3, −9). Find the missing vertex and the area of the flag in square inches?
The missing vertex is (−9, 7) with an area of 16 in2.
The missing vertex is (7, 11) with an area of 16 in2.
The missing vertex is (−9, 11) with an area of 128 in2.
The missing vertex is (11, 7) with an area of 128 in2.
Answers
The missing vertex is (11, 7) with an area of 128 in2.
The recursive formula for an arithmetic sequence is:
a1 = -10
an = an-1+3
What is the 3rd term in the sequence?
A. -16
B. -30
C. -7
D. -4
Answers
Answer:
D. -4
Step-by-step explanation:
a1 is the first term.
a1 = -10
an = an-1 + 3
The recursive formula means that each term after the first term is 3 more than the previous term.
a2 = a1 + 3 = -10 + 3 = -7
a3 = a2 + 3 = -7 + 3 = -4
4.
Determine the domain of the function below.
Answers
uh what function??
/////
Find the value of X.
Answers
So,
(x + 42) + 3x = 90°
Remove the parentheses:
x + 42 + 3x = 90
Combine like terms:
4x + 42 = 90
Subtract 42 on both sides:
4x = 48
Divide 4 on both sides:
x = 12
~
+
=
+
2
1
10
1
10
1
10
1
10
1
10
Answers
Answer:
2/5 + 5/10 = 1 Hope that helps!
Answer:
2/5 + 5/10 = 1 Hope that helps!
Step-by-step explanation:
There are three dials on a combination lock.
Each dial can be set to one of the numbers 1, 2, 3, 4, 5, 6
The three digit number 536 is one way the dials can
be set as shown in the diagram.
a) Work out the number of different three digit numbers
that can be set for the combination lock.
Answers
Answer: 136, 625,532,413
Step-by-step explanation:
confidence intervals are useful when trying to estimate unknown statistics question 4select one: true false
Answers
The statement "confidence intervals are useful when trying to estimate unknown statistics" id True.
Confidence intervals are valuable tools for estimating unknown statistics. When dealing with limited data, it is often impossible to determine the true value of a population parameter with absolute certainty. Confidence intervals provide a range of plausible values within which the true parameter is likely to fall.
A confidence interval consists of two components: a point estimate and a margin of error. The point estimate is the best guess of the parameter's value based on the available data, while the margin of error reflects the uncertainty associated with the estimate. By specifying a confidence level, typically expressed as a percentage (e.g., 95% confidence interval), we can quantify the level of confidence we have in capturing the true parameter within the interval.
Confidence intervals allow researchers and decision-makers to make informed conclusions about population parameters while acknowledging the inherent uncertainty. They provide a range of plausible values, taking into account sampling variability and the variability of the data. Confidence intervals also facilitate hypothesis testing, as they help determine whether a hypothesized value falls within the interval.
To know more about confidence intervals, refer here:
https://brainly.com/question/32546207#
#SPJ11
after running a chi-square test using the actual values and expected values, a p-value of 0.0000005 is obtained. is there a statistically significant association between the variables?
Answers
Yes, there is a statistically significant association between the variables when a p-value of 0.0000005 is obtained after running a chi-square test.
The p-value is the probability of observing a test statistic as extreme as the one calculated, assuming that the null hypothesis is true.
In most cases, if the p-value is less than 0.05 (5%), it is considered statistically significant. This means that there is less than a 5% chance that the results observed in the chi-square test are due to random chance, and that there is likely a real association between the variables being tested.
In the case of a p-value of 0.0000005, this is much less than 0.05 and therefore, it can be concluded that there is a statistically significant association between the variables.
This means that the observed differences between the actual values and expected values are not due to chance, but rather, there is a strong relationship between the two variables being tested.
To know more about chi-square test here.
https://brainly.com/question/14082240
#SPJ4
How many solutions does the equation 8z + 1 = 2(4z + 1) have?
Answers
Answer:
They have no solutions.
Determine the intercepts of the line.
y = -32 + 12
Y-
X-
Answers
Answer:
y = − 20
x = none
Step-by-step explanation:
There is no X intercepts
-32 + 12 = 20
please help me, im confused and i can’t understand the way my teacher explained it.
Answers
Answer:
Step-by-step explanation:
So the plots are the 15 baseball players actually did, and the line was what they predicted to have.
You can see for the y-axis shows the numbers for home runs, each column add 2, and x-axis for hits, each line add 10.
For the first one you need to find the number for home runs when hits=154, so you can see the plot at the right side of 150 hits and left side of 160 hits. And the plot is located at y=26, which means 26 home runs.
The second one you have x=154, and y=0.15x-1.5,
so y=0.15x154-1.5=21.6
GASK Ltd manufactures industrial glues and solvents in a single large factory. Approximately 400 different inputs are used to produce the 35 specialist outputs, which range from ultra-strong glues used in aircraft manufacture/repairs to high- impact adhesives that are required on construction sites. Two years ago, with the company only just breaking even, the directors recognized the need for more information to control the business. To assist them with their strategic control of the business, they decided to establish a MIS. This is now operational but provides only the following limited range of information to the directors via their networked computer system: A summary business plan for this and the next two years. The plan includes details of the expected future incomes and expenditure on existing product lines. It was produced by a new member of the) accounting department without reference to past production data. Stock balances on individual items of raw materials, finished goods etc. This report is at a very detailed level and comprises 80% of the output from the MIS it. A summary of changes in total demand for glues and solvents in the market place for the last five years. This information is presented as a numerical summary in six different sections. Each section takes up one computer screen so only one section can be viewed at a time
Answers
The MIS provides a summary business plan, detailed stock balances, and a summary of changes in market demand.
The Management Information System (MIS) implemented by GASK Ltd provides the directors with valuable information for strategic control of the business. The MIS includes three key components:
Summary Business Plan: The MIS provides a business plan that outlines the expected future incomes and expenditures for the next three years. This plan helps the directors understand the financial outlook and make informed decisions about existing product lines.
However, it is important to note that the business plan was created without reference to past production data, which means it may not fully capture historical trends and patterns.
Detailed Stock Balances: The MIS generates a report with detailed information on stock balances for individual items of raw materials, finished goods, and other inventory.
This level of detail allows the directors to have a comprehensive view of the company's inventory position, enabling them to monitor stock levels, manage supply chains, and make informed decisions related to production and distribution.
Summary of Changes in Market Demand: The MIS provides a summarized overview of changes in the total demand for glues and solvents in the market over the past five years.
This information helps the directors understand market trends, identify potential growth opportunities, and assess the competitive landscape.
However, it is worth noting that the summary is presented in six different sections, and only one section can be viewed at a time on a computer screen, which may limit the ability to analyze the complete market picture simultaneously.
Overall, the MIS plays a crucial role in providing the directors with essential information for strategic control of the business.
It assists them in financial planning, inventory management, and market analysis, allowing them to make informed decisions to drive the company's success.
To know more about data click here
brainly.com/question/24257415
#SPJ11
6x + 8 greater than or equal to 1
Answers
Answer:
\(x\leq-\frac{7}{6}\)
Step-by-step explanation:
\(6x+8\geq1\\6x\geq-7\\x\leq-\frac{7}{6}\)
The answer is:
x ≥ -7/6
Work/explanation:
The symbol for greater than or equal to is ≥.
The inequality is:
6x + 8 ≥ 1
Subtract 8 on each side
6x > -7
Divide each side by 6.
x > -7/6
Hence, the answer is x > -7/6.
Which of the following R-squared values is the most satisfactory?
Mutiple Choice
a. 0.3
b. 0.5
c. 0
d. 75
e. −0.5
Answers
Among the given options, an R-squared value of 0.5 is the most satisfactory as it indicates a moderate level of relationship between the variables. So, the correct option is b.
R-squared is a statistical measure that represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges from 0 to 1, with 1 indicating a perfect fit and 0 indicating no relationship between the variables.
In this case, an R-squared value of 0.5 means that 50% of the variance in the dependent variable can be explained by the independent variable(s). This is considered a moderate level of explanatory power.
To know more about variance, visit
https://brainly.com/question/33654267
#SPJ11
If the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x + 140 5x – 260 5x + 140
Answers
Answer:
\(P =5x-260\)
Step-by-step explanation:
Given
\(R = 3x^2 + 4x - 60\) --- Revenue
\(C = 3x^2 - x + 200\) --- Cost
Required
The expression for profit (P)
This is calculated as:
\(P =R - C\)
So, we have:
\(P =3x^2 + 4x - 60 - (3x^2 -x+200)\)
Open bracket
\(P =3x^2 + 4x - 60 - 3x^2 +x-200\)
Collect like terms
\(P =3x^2 - 3x^2+ 4x +x- 60-200\)
\(P =5x-260\)
If the profit is the difference between the revenue and the cost, 5x – 260 expression represents the profit. Correct option is 3.
The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:
Profit (P) = Revenue - Cost
Among the given options:
1. 3x - 260
2. 3x + 140
3. 5x - 260
4. 5x + 140
We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.
Option 3, 5x - 260, fits this pattern:
- Revenue: 5x
- Cost: 260
When we subtract the cost from the revenue:
Profit (P) = Revenue - Cost = 5x - 260
So, option 3, 5x - 260, is the expression that represents the profit.
To know more about profit:
https://brainly.com/question/24093318
#SPJ3
Complete question is:
If the profit is the difference between the revenue and the cost, what expression represents the profit?
1. 3x – 260
2. 3x + 140
3. 5x – 260
4. 5x + 140
Can anybody help pls
Answers
Answer:
4?
Step-by-step explanation:
There's only 5 teams. (I'm not sure tho)
Can anyone help me with this?
Answers
Step-by-step explanation:
for a it's y=12x+60
for b it's y=1x+21
for c it would be) 40-70=-30/1-3=-2 and then divide -30/-2 is 15.
for d it would be y=20x+20
it would be ethier a or d
For anybody who has had this question
0 and 5 :(
Answers
Answer:
Yes, the answer is (0,5) because that is where the lines intercect on the graph.
9. What missing expression makes the equation balance? 5x + 8 + ? = 7x + 2
Answers
Answer:
-4
Step-by-step explanation:
Answer:
\(5x + 8 + 2x - 6 \\ collecting \: like \: terms \: \\ 5x + 2x + 8 - 6 \\ 7x + 2\)
The path of a diver diving off a 10-foot platform can be represented by the function h(x) = - 0.5(x^2 - 4x - 21) where h is the diver's height above water and x is the horizontal distance from the platform (in feet).
What does the positive zero represent?
Answers
Answer:
x = -3 and 7
Step-by-step explanation:
Given the path of a diver expressed as;
h(x) = - 0.5(x^2 - 4x - 21)
The positive zero occur at when h(x) = 0
Substitue
0 = - 0.5(x^2 - 4x - 21)
-0.5x^2 + 2x + 10.5 = 0
Multiply through by -10
5x^2 - 20x - 105 = 0
x^2 - 4x - 21 = 0
x^2 - 7x+3x - 21 = 0
x(x-7)+3(x-7) = 0
(x+3)(x-7) = 0
x = -3 and 7
Hence the positive zero displacement occurs at x = -3 and 7
Jagruti High School has four sections in class 8. The number of boys and girls in each section are shown in this bar graph. What is the average number of boys per section in class 8 of Jagruti High School?
Answers
Answer:
17
Step-by-step explanation:
From inspection of the given bar chart, the number of boys in each section is:
8A = 168B = 208C = 168D = 16To find the average number of boys per section in class 8, sum the number of boys in each section and divide the result by 4.
\(\boxed{\sf Average=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}}\)
\(\implies \sf Average=\dfrac{16+20+16+16}{4}=\dfrac{68}{4}=17\)
Therefore, there is an average of 17 boys per section in class 8 of Jagruti High School.
Answer:
17
Step-by-step explanation:
To find the average of something, we divide the total by the amount of sections/groups.
So we need to find the total number of boys and divide by the number of sections (4).
We can find the number of boys in each section by reading it off the chart:
8A: 16 boys
8B: 20 boys
8C: 16 boys
8D: 16 boys
So the total number of boys in class 8 is the sum of each section: 16+20+16+16=68
Divide this total by the number of sections (4) to get the average:
68/4=17
So the average number of boys per section in class 8 is 17.