Answer:45.5
Step-by-step explanation:convert mixed number into proper fraction
6.2+1/2=13/2
=7x 13/2
covert element to fraction 7= 7/1
7/1x13/2=91/2
answer:45 1/2
there's also a decimal answer
answer:45.5
1. Refer to the figure at the right. Line a is parallel to line b and m2 is 135 °. Find each given angle measure. Justify your answer
m9+m<10
m1
m6
m4+ m5
this means angle
Answer:
∠9 + ∠10 = 135° combined, they are alternate equal to ∠2
∠1 =45° it is supplementary to ∠2
∠6 = 45° it is corresponding congruent to ∠8 which is alternate
equal to ∠1
∠4 + ∠5 = 135° combined, they are corresponding congruent to ∠2
The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
All the angles are mentioned on the diagram.
The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Justin, age 52, wants to pay no more than S800 a year in lite insurance. If the annual life insurance premium rate (per $1000 of face value) is $5.38, what is the largest 15-year term policy he ca
buy without spending more than S800 annually?
If Justin, age 52, wants to pay no more than S800 a year in lite insurance. The largest 15-year term policy he ca buy without spending more than S800 annually is:$148,700
What is insurance?Insurance can be defined as the coverage that help to cover the cost or expense of those that enroll under the insurance plan.
Now let find the largest 15-year term policy he can buy using this formula
Largest 15-year term policy = Lite insurance amount / Annual life insurance premium × Face value
Let plug in the formula
Largest 15-year term policy = $800 / $5.38 × $1,000
Largest 15-year term policy = $148,698.9
Largest 15-year term policy = $148,700 (Approximately)
Therefore the Largest 15-year term policy is $148,700.
Learn more about insurance here:https://brainly.com/question/25855858
#SPJ1
What is the total cost of the computer?
given four points p, q, r, s in the plane, prove that point s lies in the interior of the circle through p, q, and r if and only if the following condition holds. assume that p, q, r form the vertices of a triangle in clockwise order
The assertion is true.
EXPLANATION:
Here is the detailed explanation:
If the point S lies inside the circle, it must lie within the perimeter of the triangle PQR.
For the point S to be inside the circle PQR, it must form an acute angle with each side of the triangle.
If S forms an obtuse angle with one side of the triangle, it will not be inside the circle PQR.
Thus, if the vertices P, Q, R of the triangle PQR are in clockwise order, then the angle ∠PSQ, which is inside the triangle PQR and subtends the chord PQ of the circle, is acute.
Similarly, the angles ∠QSR and ∠RSP are acute, so point S is inside the circle PQR.
Conversely, if S is inside the circle PQR, then it forms an acute angle with each side of the triangle.
In particular, ∠PSQ is acute, so the vertices of the triangle PQR are in clockwise order.
Hence, the assertion is true.
To know more about Circles:
https://brainly.com/question/11833983
#SPJ11
You are given 100 cups of water, each labeled from 1 to 100. Unfortunately, one of those cups is actually really salty water! You will be given cups to drink in the order they are labeled. Afterwards, the cup is discarded and the process repeats. Once you drink the really salty water, this "game" stops. i. What is the probability that the įth cup you are given has really salty water?
The probability that the įth cup you are given has really salty water can be determined by considering the total number of cups and the number of cups that are really salty.
Given that there are 100 cups labeled from 1 to 100, there is only one cup that is really salty. Therefore, the number of cups that are really salty is 1. The total number of cups is 100. Since you drink the cups in order, starting from cup 1 and proceeding to cup 2, cup 3, and so on, the probability of encountering the really salty cup on the įth cup depends on the position of the really salty cup in the order.
If the really salty cup is labeled with the number į, then the probability of encountering it on the įth cup is 1/100. This is because there is only one cup that is really salty out of the 100 cups in total.
Therefore, the probability that the įth cup you are given has really salty water is 1/100.
To learn more about probability click here:
brainly.com/question/32117953
#SPJ11
Find the value of E, the margin of error, for c = 0.90, n = 10 and s = 3.1. State the value of d.f. used. A) 1.36 B) 0.57 C) 1.78 D) 1.80 d.f. =
To find the margin of error (E) for a confidence level of c = 0.90, sample size (n) of 10, and sample standard deviation (s) of 3.1,
we need to determine the critical value from the t-distribution and then calculate the margin of error using the formula:
E = critical value * (s / sqrt(n))
The critical value is based on the desired confidence level and the degrees of freedom (d.f.) which depend on the sample size.
Since the sample size is 10, the degrees of freedom (d.f.) used in this case would be (n - 1) = (10 - 1) = 9.
To find the critical value corresponding to a 90% confidence level and 9 degrees of freedom, we can use a t-table or a statistical calculator. The critical value is approximately 1.83.
Now, we can calculate the margin of error (E):
E = 1.83 * (3.1 / sqrt(10))
E ≈ 1.83 * (3.1 / 3.162)
E ≈ 1.83 * 0.981
E ≈ 1.794
The value of the degrees of freedom (d.f.) used is 9.
Therefore, the correct answer is D) 1.80 with d.f. = 9.
Learn more about Standard deviation here -: brainly.com/question/475676
#SPJ11
Please help it’s with applying Rational numbers. First to answer is Brainliest!!!!!!!!
Donna is hanging a poster on her wall she wants to center it horizontally. The poster is 25 7/10 inches long, the space between the right edge of the poster and the right edge of the wall is 50 1/4 inches in the wall is 134 1/5 Inches long. Is the picture centered? Use the numbers given to find out, and use estimation to check if your answer is reasonable.
Answer:
The poster is not centered.Step-by-step explanation:
In the image attached you can observe a representation of this situation.
First, we need to transform each mixed number to a fraction.
\(25 \frac{7}{10}=\frac{257}{10}=25.70 \ in\)
\(50 \frac{1}{4} =\frac{201}{4} =50.25 \ in\)
\(134 \frac{1}{5} = \frac{671}{5} =134.20 \ in\)
Now, if the poster is centers, then the distance to the wall on the right and on the left, must be equal. We know that the space on the right is 50.25 inches. Then, we subtract to find the other side
\(134.20-50.25-25.70=58.25 \ in\)
So, the space in the left side of the poster is 58.25 inches long.
Therefore, the poster is not centered.
Which of the following is the best description for this pair of angles
Which of the following could be a rational number? A.The sum of two irrational numbersB.The product of two irrational numbersC.The sum of rational number and an irrational numberD.The product of a rational number and an irrational number.
Suppose a random sample of 35 cars are observed and their waiting time is recorded. What is the probability that the sample mean of the waiting times is less than 1.5 minutes
The probability that the sample mean of the waiting times is less than 1.5 minutes is approximately 0.0057, or 0.57%.
To calculate the probability that the sample mean of the waiting times is less than 1.5 minutes, we can use the Central Limit Theorem (CLT) since we have a large enough sample size (n = 35) and the waiting times are uniformly distributed.
According to the CLT, the sample mean of a sufficiently large sample size will follow an approximately normal distribution, regardless of the underlying distribution. In this case, the population mean is E(X) = 2 (the midpoint of the uniform distribution between 0 and 4), and the population standard deviation is σ(X) = √(4²/12) = √(16/12) = √(4/3) ≈ 1.155.
The standard deviation of the sample mean (also known as the standard error) is given by σ(X)/√(n), which in this case is approximately 1.155/sqrt(35) ≈ 0.196.
To calculate the probability that the sample mean is less than 1.5 minutes, we can standardize the value using the z-score formula:
z = (sample mean - population mean) / standard error
z = (1.5 - 2) / 0.196 ≈ -2.551
Next, we can look up the probability corresponding to this z-score in the standard normal distribution table.
From the table, we find that the probability of obtaining a z-score less than -2.551 is approximately 0.0057.
Therefore, the probability that the sample mean of the waiting times is less than 1.5 minutes is approximately 0.0057, or 0.57%.
Learn more about Central Limit Theorem click;
https://brainly.com/question/898534
#SPJ4
The domain (Graphically)?
Answer:
Domain: (-infinite, -8) U (-8, 2) U (2, +infinite)
Step-by-step explanation:
The graphs never intersect with the lines x=-8 and x=2 so -8 and 2 cannot be included in the domain.
Use "[]" for included and "()" for excluded.
The domain will go from far left to -8 => (-infinite, -8).
Then, the domain will go from -8 to 2 => (-8, 2).
Last, the domain will go from 2 to +infinite => (2, +infinite).
A culture of bacteria has an initial population of 7800 bacteria and doubles every 7
hours. Using the formula P = Po 2a, where Pt is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 20 hours, to the nearest whole number?
.
The population of bacteria in the culture after 20 hours is 53907 bacteria.
Exponential growth calculationIn the given formula, \(P = P_0 * 2^{(t/d)\), where P is the population after t hours, \(P_0\) is the initial population, t is the time in hours, and d is the doubling time.
Given:
Initial population (\(P_0\)) = 7800 bacteria
Time (t) = 20 hours
Doubling time (d) = 7 hours
Using the formula, we can calculate the population of bacteria after 20 hours:
P = \(P_0 * 2^{(t/d)\)
P = \(7800 * 2^{(20/7)\)
P ≈ 7800 x 6.897
P ≈ 53906.8
Rounding the population to the nearest whole number, the population of bacteria in the culture after 20 hours is approximately 53907 bacteria.
More on bacterial population can be found here: https://brainly.com/question/29128769
#SPJ1
Anja collected data about the number of dogs 9th-grade students own. She created this histogram to represent the data and determined that it is skewed right. Which statement is true about Anja’s claim? She is incorrect; the histogram is skewed to the left because more data is on the left side. She is incorrect; the histogram is skewed to the left because there is more data on the right side. She is incorrect; the histogram is symmetrical because the right side is equal to the left side. She is correct; the histogram is skewed to the right because there is less data on the right side.
Answer:
D. She is correct; the histogram is skewed to the right because there is less data on the right side.
Step-by-step explanation:
I just did it on edge
Option D is correct. She is correct; the histogram is skewed to the right because there is fewer data on the right side.
How can you spot a skewed graph?
A skewed distribution is one in which one of the two sides is biased (either left or right). It's like a mountain tilting to one side (left or right).
Like the picture, a left skewed graph has an extended tail on the left side of the main peak. A right skewed graph features an extended tail on the right side of the main peak.
She is correct; the histogram is skewed to the right because there is fewer data on the right side.
Hence, option D is correct.
To learn more about skewed distribution, refer:
https://brainly.com/question/13111221
#SPJ2
Please help physics due in 30 mins!!!!
The work done is 3750 Joules on the box.
What is the recipe for work completed?To quantitatively express this concept, the work W is equal to the force f times the distance d, or W = fd. If the force is applied at an angle to the displacement, the work is W = fd cos.t.
The equation W = F * d * cos(theta), where W is the work done, F is the force applied, d is the displacement of the item, and theta is the angle between the force and displacement vectors, can be used to solve this problem.
The force in this instance is 500 N, and the distance is provided as 15 m, and the 60 degree angle between the vectors of force and displacement.
So, by changing these numbers in the equation, we obtain:
W = 500 N x 15 m x cos (60 degrees)
We can simplify this to: Applying the trigonometric identity cos(60 degrees) = 1/2
W = (500 N) * (15 m) * (1/2)
W = 3750 J.
To know more about work done visit:-
https://brainly.com/question/29050812
#SPJ1
The Indian automobile industry exhibited distinct phases of growth which were a) pre- after 1991. independence, b) pre-liberalization before 1991, and c) post-liberalization These phases marked distinct change across almost every industry in India, the automotive industry being one of them. In the first phase, pre-independence, decisions about the Indian automotive market largely reflected colonial decision-making. Foreign subsidiaries of established American and European carmakers literally owned the market. The quality of products they offered was generally poor. Completely knocked down (CKD) kits were shipped to India and assembled into vehicles to supply the domestic market. Post-Independence, the government's intent was to indigenize the Indian automotive market (establish local ownership over it.) However, that phase was marked by persistent marginal quality of vehicles regardless of supplier. - 1 Post-liberalization, the veritable flood of much higher quality vehicles from outside transformed the Indian market overnight. The Ambassador car was proof. It was built by Hindustan Motors Limited and based on the British Morris Oxford had dominated the Indian market. It perished within 13 years of liberalization. Even its limited exports to neighbouring countries like Pakistan, Bangladesh, Sri Lanka, Myanmar, and some Middle Eastern markets could not save the car. Those markets, too, were then getting the same superior products. For Hindustan Motors to survive, it had to join the trend of aligning with strong foreign players and creating and delivering superior products for the Indian market. 1. Did the demise of the Ambassador represent any specific form of globalization? 2. Given the Indian government's emphasis on indigenization for more than three decades, did the transition into the post-liberalization period reflect a failure of that earlier government intent? 3. Looking at the transformation of the Indian automotive market, does it more closely reflect
The demise of the Ambassador car represented market globalization, not a failure of the Indian government's indigenization efforts. The transformation reflected the shift towards global integration and the need to adapt to higher quality foreign products.
1. The demise of the Ambassador car can be seen as representing a specific form of globalization known as market globalization. Market globalization refers to the integration of markets on a global scale, where competition from foreign players leads to the decline or elimination of local products that cannot meet the new quality standards or compete effectively.
2. The transition into the post-liberalization period did not necessarily reflect a failure of the Indian government's emphasis on indigenization. The government's intent for indigenization was driven by the desire to establish local ownership and self-reliance in the automotive market. However, the persistent marginal quality of vehicles during the pre-liberalization phase, irrespective of the supplier, hindered the growth and competitiveness of the Indian automotive industry. The post-liberalization period brought an influx of higher quality foreign vehicles, exposing the shortcomings of domestic manufacturers.
3. The transformation of the Indian automotive market closely reflects the process of market liberalization and integration into the global economy. The post-liberalization period led to a significant shift in the market dynamics, with the entry of foreign automakers offering superior products. This transformation represents a shift towards market-oriented policies and increased competition.
To learn more about integration click here
brainly.com/question/30900582
#SPJ11
please help me I have to submit it tomorrow and please while sending solution write it and send a pic please because I don't understand when someone explains it in the answer
Answer:
A
Step-by-step explanation:
I think
what is the value of the expression why y=2
Answer:
Where’s the problem
Step-by-step explanation:
(show ur work) A store had pears on sale for $1.50 a pound. Roberta spent $11.25. on pears. How many pounds did she buy?
Answer:
$11.25
Step-by-step explanation:
The most important part of this equation is $1.50 a pound.
To find the pounds that equal to $11.25, I just multiplied. Since it's $1.50 per pound, no whole number will equal to $11.25. So, I tried 7.5
$1.50 x 7.5 = $11.25
Is July the number 6 month?
July is the seventh month of the year in the Gregorian calendar, which is the most widely used calendar system in the world.
It is considered the seventh month because it falls between June, the sixth month, and August, the eighth month. July is also the last month of the second quarter of the year, having 31 days.
July is known for many events and holidays, such as Independence Day in the United States, Canada Day, and Bastille Day in France. It's also the middle of the summer season, and people often take vacations and enjoy outdoor activities during this month.
It's important to note that in different cultures and regions the months of the year may be ordered differently.
For example, some cultures may have a lunar calendar which is based on the cycles of the moon rather than the sun, and the months may be ordered differently.
However, the Gregorian calendar is widely used around the world and it considers July as the seventh month of the year.
To know more about Gregorian calendar click on the link below:
https://brainly.com/question/656246#
#SPJ11
which of the following quantitative research methods uses a relatively small group of people for testing and is most helpful in obtaining data that are representative of the whole population? a.) in-depth interviews b.) secondary data analysis c.) natural experiments d.) random sampling
In-depth interviews are a quantitative research method that uses a relatively small group of people for testing and is most helpful in obtaining data representative of the whole population. The correct option to this question is A.
Although you can use all of these techniques in your comprehensive customer experience management strategy, in-depth interviews can help you gather the information that can give you rich insights into the experiences and preferences of a large sample of your target audience.
An extensive amount of data can be gathered on the behavior, attitude, and perspective of the interviewers through in-depth interviews, a qualitative data collection technique.
Researchers and subjects are free to explore additional topics and alter the course of the interview when necessary during in-depth interviews. It is an independent research methodology that can use a variety of approaches depending on the needs of the study.
For more information on quantitative research methods kindly visit to
https://brainly.com/question/29242901
#SPJ4
a survey found that 78% of the men questioned preferred computer-assisted instruction to lecture and 68% of the women preferred computer-assisted instruction to lecture. there were 100 randomly selected individuals in each sample. find the 95% confidence interval for the difference of the two proportions.
The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.
Given that,
In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.
We have to calculate the 95% confidence range for the difference between the two proportions.
We know that,
The 95% confidence interval for difference between two population proportions is given as follows :
\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)
Here,
p₁ is 0.78
p₂ is 0.68
n₁ is 100
n₂ is 100
Z is 1.96
P is 0.73
Q is 0.27
So,
((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)
(0.10±0.122)
(0.10-0.122,0.10+0.122)
(-0.022,0.222)
Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.
To learn more about interval visit: https://brainly.com/question/10850002
#SPJ4
Question 4 of 10
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
□A. √2:√2
B. 15
□ C. √√√√5
□ D. 12
DE √3:3
OF. √2:√5
←PREVIOUS
SUBMIT
The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).
In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.
A. √2:√2
The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.
B. 15
This is a specific value and not a ratio. Therefore, option B is not applicable.
C. √√√√5
The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.
D. 12√3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.
E. √3:3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.
F. √2:√5
This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.
For more such questions on lengths
https://brainly.com/question/28322552
#SPJ8
Which graph represents a system of linear equations that has multiple common coordinate pairs
Answer: I am not sure about the question since you did not include any graphs. So I pretend you ask about the system, then the answer is The Cartesian coordinate system
Step-by-step explanation: I remember this system has two number lines intersecting at right angles or what we call the x and y-axis. I hope you find this helpful.
Evaluate
(-5)3
Mathematics
Multiply 5 by 3.-15
I hope this is right :P
The value of (-5)³ is -125.
To evaluate the expression (-5)³, we follow the order of operations, which is to perform the exponentiation first.
(-5)³ means raising -5 to the power of 3.
(-5)³ = (-5) × (-5) × (-5) = -125
Therefore, (-5)³ equals -125.
To know more about value, refer here:
https://brainly.com/question/14316282
#SPJ6
Beverly's average mark for nine examination papers was 89.5. How many marks did she score altogether?
Answer:
805.5 out of 900
Step-by-step explanation:
A test is out of 100 and because there are 9 tests: 9 x 100 which equals 900.
To get the average we add up each test mark and divide by the number of tests. The same can be applied here but reversed. So because there were 9 tests we can multiply 89.5 by 9 which gives us 805.5. Beverly scored 805.5 marks out of 900 which makes her average 89.5% for 9 tests.
PLEASE HELP ME. I WILL GIVE CROWN
Answer:
h t t p s : / / w w w . d e s m o s . c o m / c a l c u l a t o r
Step-by-step explanation:
An economist studying fuel costs suspected that the mean price of gasoline in her state was more than \$3$3dollar sign, 3 per gallon on a certain day. On that day, she sampled 404040 gas stations to test H_0: \mu=\$3H 0 :μ=$3H, start subscript, 0, end subscript, colon, mu, equals, dollar sign, 3 versus H_\text{a}: \mu>\$3H a :μ>$3H, start subscript, start text, a, end text, end subscript, colon, mu, is greater than, dollar sign, 3, where \muμmu is the mean price of gasoline per gallon that day in her state. The sample data had a mean of \bar x=\$3. 04 x ˉ =$3. 04x, with, \bar, on top, equals, dollar sign, 3, point, 04 and a standard deviation of s_x=\$0. 39s x =$0. 39s, start subscript, x, end subscript, equals, dollar sign, 0, point, 39. These results produced a test statistic of t\approx0. 65t≈0. 65t, approximately equals, 0, point, 65 and a P-value of approximately 0. 2600. 2600, point, 260
Answer:they cannot conclude the mean price
Step-by-step explanation:
khan
At the α=0.01 significance level, there is not enough evidence to conclude that the mean price of gasoline in your state is more than $3 per gallon on that day.
Here you collected a random sample of 40 gas stations and calculated the sample mean (bar x) and the sample standard deviation (sₓ).
In this case, you found that the test statistic t was approximately 0.65, and the P-value was approximately 0.260. The P-value is the probability of observing a test statistic as extreme as the one you calculated, assuming that the null hypothesis is true.
A P-value of 0.260 means that if the null hypothesis were true, there is a 26% chance of observing a sample mean as extreme or more extreme than the one you calculated.
To make a decision about the hypothesis, you need to compare the P-value to the significance level (α), which represents the maximum probability of rejecting the null hypothesis when it is actually true. In this case, the significance level is set to α=0.01, which means that you want to be 99% confident in your decision.
If the P-value is less than the significance level, you reject the null hypothesis in favor of the alternative hypothesis.
If the P-value is greater than the significance level, you fail to reject the null hypothesis.
In this case, the P-value is greater than the significance level, which means that you fail to reject the null hypothesis.
To know more about standard deviation here
https://brainly.com/question/16555520
#SPJ4
Complete Question:
An economist studying fuel costs suspected that the mean price of gasoline in her state was more than $3 per gallon on a certain day. On that day, she sampled 40 gas stations to test H0:μ=$3
Ha:μ>$3
where μ is the mean price of gasoline per gallon that day in her state.
The sample data had a mean of bar x=$3.04 and a standard deviation of sₓ=$0.39
These results produced a test statistic of t≈0.65 and a P-value of approximately 0.260
Assuming the conditions for inference were met, what is an appropriate conclusion at the α=0.01 significance level?
Can someone help and show how this is done
Answer:
18x+5
Step-by-step explanation:
Rhe perimeter of a triangle is the sum of its three sides which here are (6x-3), (5x+6), (7x+2).
So we add them all up, 6x-3+5x+6+7x+2=18x+5
QUICK, NEED ANSWER TO THIS MATH QUESTION! PLEASE HELP!!!
Answer:
n = 11
Step-by-step explanation:
let first odd number be n(as stated in question)
to have the next consecutive odd number, add 2 to the n:
1st odd number = n
2nd odd number = n + 2
3rd odd number = n + 4
following the qn, sum of n, twice of n + 2 and thrice of n + 4 is 82
thus n + 2(n+2) + 3(n+4) = 82
n + 2n + 4 + 3n + 12 = 82
6n = 66
therefore n = 11
When graphing the solution of an inequality on a number line, you will see either an open or closed circle and a part of the line shaded.
Part A:
Describe what an open circle represents and when you would use it.
Part B:
Describe what a closed circle represents and when you would use it.
Part C:
Describe what the shading on the number line represents.
Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.
Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.
Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.
Part A:
For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.
Part B:
For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.
Part C:
For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.
for more such questions on number line
https://brainly.com/question/24644930
#SPJ8