The nth term of an arithmetic progression is 2n+1 , the sum of 1st n terms of the Arithmetic progression is..
Answers
Answer:
First tale nth term and find relation of a , d, n
Try yourself
Related Questions
how many micrograms in a gram
Answers
1 gram is equal to 1,000,000 micrograms.
Micrograms (µg) are a unit of measurement of mass in the metric system and are part of the International System of Units (SI). They are used to measure small amounts of mass, such as that of drugs, vitamins and other nutrients. Micrograms are one millionth of a gram, and one thousandth of a milligram.
It is often used in the medical and scientific field where precise measurements are needed.
To convert grams to micrograms, you multiply the number of grams by 1,000,000. To convert micrograms to grams, you divide the number of micrograms by 1,000,000.
It is important to be careful when working with micrograms because it is a very small unit of measurement. It is important to use a precise scale when measuring micrograms and to be aware of the significant digits when recording or reporting measurements.
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A tree house has a rectangular floor with a perimeter of 246 inches and a length of 48 inches.
What is the width of the floor?
Answers
Answer:
75 inches
Step-by-step explanation:
First, the perimeter of a rectangle is 2(length)+2(width). The length and total of the perimeter was given to us, so the equation looks like 2(48)+2(w)=246
96+2w=246 (multiply and add where you can on both sides)
2w=150 (get all of the variables on one side and the numbers on the other)
w=75 (simplify to get your final answer)
width is 75 inches. [make sure to add the units!]
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Please help!!
For each system of equations, use substitution or elimination to find the solution. Next, analyze your solution to determine if it makes sense in the context.
For each system of inequalities, find the solution region by graphing. Only graph viable solutions. Next, give two examples of solutions that would work in the situation.
Q.1. The total cost for 14 tickets to a concert is $462. Lawn tickets cost $26 each, and pavilion seats are $54 each. How many of each type of ticket were sold?
Answers
10.5 lawn tickets and 3.5 pavilion seats were sold, which equals the total cost of $462.
We can utilise substitution to solve this set of equations. Let x represent the number of lawn tickets and y represent the number of pavilion seats. We can create two equations to represent the total cost of the tickets.
26x + 54y = 462
x + y = 14
To find the value of y, we can change the value of x from the second equation into the first equation.
26(14 - y) + 54y = 462
364 - 26y + 54y = 462
-26y + 54y = 462 - 364
28y = 98
y = 3.5
The second equation can then be solved for x by reintroducing the value of y.
x + 3.5 = 14
x = 10.5
This means that 10.5 lawn tickets were sold, and 3.5 pavilion seats were sold. To check if this solution makes sense, we can substitute our answer into the first equation to calculate the total cost.
26(10.5) + 54(3.5) = 462
This equation does equal 462, so our solution is correct. This makes sense in the context because it is a valid combination of tickets that adds up to the total cost of $462.
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A soccer club has 560 members so far 7/8 of the members have helped clean up their practice park. What percent of the members have helped clean up the park? how many members have helped clean up the park? show your work
Answers
The percent of the members that have helped clean up the park will be 87.5%.
The members that have helped clean up the park will be 490 members.
How to calculate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
In this case, the soccer club has 560 members so far 7/8 of the members have helped clean up their practice park.
The percent of the members that have helped clean up the park will be:
= 7/8 × 100
= 87.5%
The members that have helped clean up the park will be:
= 7/8 × 560
= 490 members
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In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a) (5 points) after receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours?(b) (5 points) after receiving a call, what is the probability that the next call arrives after 2 hours?(c) (5 points) the number of calls received each day is recorded for 50 consecutive days. find the probability that the sum of these 50 numbers is less than 356.
Answers
The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.
Data;
Mean rate = 0.3x = 50standard deviation = ?Poission RuleUsing poission formula,
\(P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute\)
Let's substitute the values into the formula.
For 50 calls in 150 hours
For 150 hours = x = 0.3 * 150 = 45
\(p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431\)
b)
The probability the next call arrives after 2 hours.
\(\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488\)
c)
The number of calls recieved each day is recorded for 50 consecutive days.
for 50 days;
\(\lambda = 0.3 * 50 * 24 = 360\)
The mean = 360
The standard deviation is given as
\(S.D = \sigma =\sqrt{360} = 18.974\\\)
The probability the sum of these 50 number is less than 356 is
\(p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165\)
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A town council wants to conduct a survey on town policies using a random sample of residents.
Which method would result in a random sample?
A
Ask all residents having lunch at a local restaurant
B Ask the first 5 residents who visit town hall after it opens
С
Draw slips of paper with names of residents out of a large box.
D
Print survey forms on postcards and have residents mail their responses
Answers
Answer:
Step-by-step explanation:
Answer:
The correct answer is C. Draw slips of paper with names of residents out of a large box.
Step-by-step explanation:
Hope it helps-
pose a struggling student who is currently taking pre-statistics and not passing (60%) wants to predict his introductory statistics course grade. should the regression line be use to make this prediction? group of answer choices no, because the model was developed using only pre-statistics course grades between 70% and 95%, so it is risky to assume that the linear trend will continue far beyond that span of values. yes, as the model probably has a very high r 2 value. yes, as the model appears to have a strong linear association, and the residual values appear small in size.
Answers
Option B is the right answer when a struggling student who is presently failing pre-statistics (60%) wants to forecast his mark in the introductory statistics course.
Given that,
Let's say a struggling student who is presently failing pre-statistics (60%) wants to forecast his mark in the introductory statistics course. Should this prediction be made using the regression line.
In the picture we can see the Option A,B and C.
As we can see that there is a positive linear trend between these two variables, it can be used to predict grades for a student even if he didn't pass the exam.
Option B seems correct here.
Therefore, Option B is the right answer when a struggling student who is presently failing pre-statistics (60%) wants to forecast his mark in the introductory statistics course.
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For what value of k, the following system of equations kx+2y=3, 3x+6y=10 has a unique solution ?
Answers
The given system of equations to have a Unique solution, the value of k must be any real number except 1 (k ≠ 1).
The value of k for which the given system of equations has a unique solution, we can use the concept of determinants. The system of equations is as follows:
kx + 2y = 3 -- (1)
3x + 6y = 10 -- (2)
To have a unique solution, the determinant of the coefficients of x and y must not be zero.
The determinant of the coefficient matrix for the system is:
D = | k 2 |
| 3 6 |
By calculating the determinant, we have:
D = (k * 6) - (2 * 3)
D = 6k - 6
For the system to have a unique solution, the determinant D must not equal zero.
6k - 6 ≠ 0
Simplifying the inequality:
6k ≠ 6
Dividing both sides by 6:
k ≠ 1
Therefore, for the given system of equations to have a unique solution, the value of k must be any real number except 1 (k ≠ 1).
In other words, if k is not equal to 1, the system of equations will have a unique solution. If k is equal to 1, the system will either have infinitely many solutions or no solution.
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If you answer this question I will mark you brainliest
Answers
Answer:
Yes they are congruent
they are congruent by SSS rule that is Side Side Side rule
AD = CD (given side) in the question itself
AB = CB (given side) in the question itself
Db = BD (common side)
thats why by SSS rule they are congruent
\(\large\huge\green{\sf{Answer:-}}\)
in ∆ABD and CND
AD = DC. (given)AB= BC (given)DB= DB. (common side)∴ ∆ABD ≅ ∆ CND (by S SS congruent condition)
4(x - b) = x
solve for x
Answers
Answer:
x=4b/3
Step-by-step explanation:
Simplify 4(x - b) = x
Then Move all terms containing x to the left side of the equation.
so -4b+3x=0
Add 4b to both sides of the equation.
so 3x=4b
Divide each term by 3 and simplify!
Collin is collecting rocks for a science project. So far, he has collected 36 rocks, which is 90% of the total he needs. How many total rocks does Collin need for his science project?
Answers
Answer:
40 total rocks
Step-by-step explanation:
100 * 36 / 90 = 40
Answer:
he needs 4 more
Step-by-step explanation:
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own neighborhood. Caleb has had his business for more than a year and has experimented with different prices for his services. He is willing to share what he has learned with you as you begin to plan your business. The Project: Use the information provided in the Performance Task to learn more about your competition and the costs of your business. See what you can discover by looking at Caleb's sales records to help you decide how to set up and price your own dog-walking services. Use the questions below to help you gather information and get your new business off to a profitable start. Understanding the Competition 1. Explore the three competitors in your area to learn more about the services they offer and how they reach their customers. Fill in the table below to help you compare their businesses. (12 points: 1 point for each table cell)
Outward HoundA1-Pet Services Debbie's Daily Dog Walks What services does the business offer? What do you know about the type of business and its staff? Who are the target customers? How much does the business charge?2. Now that you know a bit about the competition, it's time to get more specific about your business offering. (6 points: 3 points for describing services, 1 point for each of the other questions)
List three services you would like to offer. Do any of these services require you to buy special items? If so, what would you need to buy? Describe the type of customer you believe your business will appeal to and explain why. If you had to guess now, how much do you think you should charge for a 30-minute dog walk? Calculating Your Business Costs 3. Use the table below to summarize your monthly business costs. Record each option you choose in the "Options selected" column. (9 points: 1 point for each completed table cell)
Cost type Total cost per month Options selected Advertising Goods Transportation Licensing TOTAL 4. Explain the choices you made that determined your business costs in each cost category. (4 points: 1 point for each explanation) In your explanation, be sure to describe: ❑ Your advertising choices ❑ The goods you will purchase ❑ Your transportation needs
❑ Whether you chose bonding ❑ The reasons for your choices Advertising: Goods: Transportation: Bonding:
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With every price decrease of $1, Caleb (gained/lost) ___________ customers. 6. Write a profit equation for Caleb's business. Profit = Price • Number of customers – Cost To write the profit equation, use the following assumptions: ❏ Express price and number of customers in terms of the same variable, x. ❏ Let x = the change in price from the price that gave Caleb the greatest revenue. Use the information in the table to answer these questions. (9 points: 1 point per blank) a. At what price did Caleb make the most revenue per month? How many customers did he serve at that price? Price: _________ Number of customers: _________ b. Write an expression for price. Use the price identified in part a. Let x represent the change in Caleb's price from this price. Price = __________ + ____________ c. Write an expression for the number of customers. Use the number of customers identified in part a, and the decrease in number of customers when Caleb increases his price by $1 (from question 5). Number of customers = _________ – __________x d. Write Caleb's profit equation. Use the expressions you identified in parts b and c. Assume Caleb's costs amounted to $200 each month. Profit = Price • Number of customers – Cost Profit = ___________ • ____________ – _________
Maximizing Your Profits You've done a lot of research. Now it's time to try to maximize the profit of your new business. 7. Write and simplify your personalized profit equation. Complete the profit equation, using the price and customer expressions from question 6 and your total cost from question 3. (6 points: 1 point for each element: price, number of customers, and cost; 3 points for writing and simplifying the profit equation) 8. Now find the maximum point on the graph of your profit equation (the vertex). (5 points: 1 point for each box in part a; 2 points for part b) a. b. Substitute x into the profit function to find the maximum profit. Maximum profit: . According to your model, what price should you charge to maximize profit? Explain how you know this is the best price. (Hint: Remember that x represents change in price from $22, not price.) (3 points: 1 point for price and 2 points for explanation) 10. What are the break-even points of the profit function (the values of x where profit equals 0)? Use the quadratic formula. (4 points: 2 points for each x-value) 11. According to your model, between what two prices should you price your service? Why would you want to keep your price between those limits? (4 points: 2 points for the break-even values, and 2
.
+
1
Answers
Answer:
Here is the answer. :)
Please do mark me brainlist.
Answer:
3.7.2 Project: Your Dog-Walking Business Project
Algebra I Sem 2 (S4982522) Ahmad Anwar
Points possible: 80 Date: 3/27/19
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own
neighborhood. Caleb has had his business for more than a year and has experimented with different
prices for his services. He is willing to share what he has learned with you as you begin to plan your
business.
The Project: Use the information provided in the Performance Task to learn more about your
competition and the costs of your business. See what you can discover by looking at Caleb's
sales records to help you decide how to set up and price your own dog-walking services.
Use the questions below to help you gather information and get your new business off to a
profitable start.
Understanding the Competition
1. Explore the three competitors in your area to learn more about the services they offer and how
they reach their customers. Fill in the table below to help you compare their businesses.
(12 points: 1 point for each table cell)
Outward Hound A1-Pet Services Debbie’s Daily Dog Walks
What
services
does the
business
offer?
Their unique services focus
on off-leash dog park play,
nature trails and wilderness
hikes, and social play with
other dogs
Their services include private
walks, distribution of food,
water, and medications,
stop-in pet sitting,
mail-pickup, and plant
watering
Her services include daily
leash-walks and playtime
supervision, distribution of
food and fresh water, mail
and newspaper pickup, and
turning house lights on and
off
What do you
know about
the type of
business
and its
staff?
Outward Hound is a small
business staffed by dog
lovers with extensive
training in animal behavior
and nutrition.
A1-Pet Services is a
nation-wide franchised
pet-service company. They
specialize in caring for pets
when their owners are away
from home.
Debbie's Daily Dog Walks is
a one person business. Her
services are available for a
day or an extended period of
time.
Who are the
target
consumers?
Outward Hound's
customers pay a premium
for their staff's expertise and
innovative services. They
are licensed, bonded, and
insured.
Their customers have pets
that need a strict schedule,
and the reliability of this
service is most important.
Her customers are
cost-conscious and
appreciate the low cost of her
services.
How much
does the
business
charge?
They charge per day at a
rate equivalent to $35 per
30 minutes.
Their rates are considered
average at $20 per 30
minutes.
She charges $12 per 30
minutes.
2. Now that you know a bit about the competition, it’s time to get more specific about your business
offering.
(6 points: 3 points for describing services, 1 point for each of the other questions)
List three services you
would like to offer.
The services I would like to offer are daily leash-walks and playtime supervision,
distribution of food and fresh water.
Do any of these
services require you to
buy special items? If so,
what would you need to
buy?
I need to buy leashes and leads, fetching toys, treats, cleanup bags.
Describe the type of
customer you believe
your business will
appeal to and explain
why.
The type of customer I believe my business appeals to is a casual person who
needs their dog watched by.
If you had to guess
now, how much do you
think you should charge
for a 30-minute walk?
I think I should charge around $20 for a 30-minute walk.
Calculating Your Business Costs
3. Use the table below to summarize your monthly business costs. Record each option you choose in
the “Options selected” column.
(9 points: 1 point for each completed table cell)
Cost-Type Total Cost per Month Options Selected
Advertising $12 Color flyers
Business website
Business cards
Social media advertising
Goods $37 Leashes and leads
Fetching toys
Treats
Cleanup bags
Transportation $75 Walking
Bicycle Maintenance
Bus/metro pass
Gas for vehicle
Licensing $160.75 Insurance
Business registration
Bonding
Total $284.75
4. Explain the choices you made that determined your business costs in each cost category.
(4 points: 1 point for each explanation)
In your explanation, be sure to describe:
❑ Your advertising choices
❑ The goods you will purchase
❑ Your transportation needs
❑ Whether you chose bonding
❑ The reasons for your choices
Advertising:
Goods:
Transportation:
Bondin
Step-by-step explanation:
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content, correct chord 2.2792 cm long subtends an angle of 0.66 rad. at the centre of a circle whose circumference is 7π cm. What is the area, to three significant figures, of the segment bounded by the chord and the arc?
Answers
Answer:
The area of the segment is approximately 2.98 cm^2.
Step-by-step explanation:
To find the area of the segment, we first need to find the radius of the circle, since the segment is part of the circle. We can use the formula for the circumference of a circle, C = 2πr, and the fact that the circumference is 7π cm to find the radius:
7π = 2πr
r = (7π) / 2π = 7 / 2 = 3.5
Next, we find the length of the arc corresponding to the chord. We can use the formula for the central angle and the radius to find the arc length:L = r * θ = 3.5 * 0.66 = 2.31
Finally, to find the area of the segment, we subtract the area of the sector with central angle 0.66 radians from the area of the sector with central angle pi radians (since a full circle has central angle 2π radians):
A = (π * r^2 * θ / 2) - (π * r^2 * 0.66 / 2) = (π * 3.5^2 * 0.66 / 2) - (π * 3.5^2 * 0.66 / 2) = (12.25 * 0.66 / 2) - (12.25 * 0.66 / 2) = 6.15 - 6.15 = 0
Rounding to three significant figures, the area is approximately 2.98 cm^2.
Hope this helps, correct me if I’m wrong.
Reasoning 5 Jack calculates 6 x 102 + 3 x 10³ = 9 × 105 Explain Jack's mistake, and write in the correct answer in standard index form.
Answers
Answer:
3.6*10³
Step-by-step explanation:
Jack cannot add the powers of 10 because they are in addition. We can apply the exponent rule only when they are in multiplication.
\(\sf 6 *10^2 + 3*10^3= 6*100 + 3*1000\\\)
= 600 + 3000
= 3600
\(\sf = 3.6 * 10^3\)
Step by step
It appears Jack added his exponents and added his constants
1) Exponents are added when exponents are multiplied by exponents. This is not true here.
2) Constants cannot be added here because of order of operations in math says to multiply and divide before add and subtract.
6 x 10^2 + 3 x 10^3 = ?
Following the math order of operations, or PEMDAS,
we will process Exponents (E in PEMDAS) first.
6 x 100 + 3 x 1000 =
Now Multiplication (M in PEMDAS)
600 + 3000 =
Now Add (A in PEMDAS)
= 3600
Answer in standard index form is the same as scientific notation
= 3.6 x 10^3
question in picture, math.
Answers
Answer:
beginning of march 4.1
beginning of jun 6.4
Step-by-step explanation:
A paper company has 30 boxes of paper ready to ship.
There are 27,000 pieces of paper in the boxes.
If each box has an equal number of pieces of paper, how many pieces of paper are in each box?
Answers
Answer:
900
Step-by-step explanation:
\(\frac{27000}{30}=900\)
Is 5,200 ft 145 in. Less greater or equal too 1 mi 40 in
Answers
We can conclude that 5,200 feet is less than 1 mile 40 inches.
To compare the two measurements, we need to convert them to a common unit. In this case, we will convert both measurements to feet for easier comparison.
Given:
1 mile = 5,280 feet
1 inch = 1/12 feet
Converting 1 mile 40 inches to feet:
1 mile = 5,280 feet
40 inches = (40/12) feet = 3.3333 feet (rounded to 4 decimal places)
So, 1 mile 40 inches is equal to approximately 5,283.3333 feet (rounded to 4 decimal places).
Now, we can compare this value to 5,200 feet. We can see that 5,200 feet is less than 5,283.3333 feet.
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We can compare the two lengths.5,200 ft 145 in is greater than 1 mi 40 in.
To compare the two lengths in the question, we need to convert both into the same unit of measure. Here, we will convert both of them into inches.First, let's convert 5,200 ft 145 in into inches.
1 ft = 12 in 5200 ft = 5200 * 12 = 62400 in
Thus, 5,200 ft 145 in = 62400 + 145 = 62545 in
Now let's convert 1 mi 40 in into inches.
1 mi = 5280 ft1 ft = 12 in1 mi = 5280 * 12 = 63,360 in
Thus, 1 mi 40 in = 63,360 + 40 = 63,400 in
Now we can compare the two lengths.62545 in is greater than 63,400 in.Therefore, 5,200 ft 145 in is greater than 1 mi 40 in.
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if the mean of a population is 250 and its standard deviation is 20, approximately what proportion of observations is in the interval between each pair of values?
Answers
If the mean of a population is 250 and the standard deviation is 20, we can say that approximately 68% of observations fall between 230 and 270, 95% of observations fall between 210 and 290, and 99.7% of observations fall between 190 and 310.
It's important to note that these percentages are approximate and based on the assumption that the population follows a normal distribution.
The normal distribution is a continuous probability distribution that is symmetric about the mean. The standard deviation (σ) is a measure of the spread of the data. Approximately 68% of the observations fall within one standard deviation of the mean, 95% of observations fall within two standard deviations of the mean, and 99.7% of observations fall within three standard deviations of the mean.
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Convert 3.5×104 to standard form
Answers
John was 40" tall in 2008 and 46" tall in 2010. Dave was 53" tall in 2003 and 70" tall in 2007. Who is growing at
a faster rate? If each person keeps growing at the same rate, how tall can we expect each to be in 2011? Is this
a reasonable expectation?
Answers
Answer:
John is growing at a faster rate.
Step-by-step explanation:
John grew 6 inches in 2 years, while Dave grew 7 inches in 4 years. We can expect John to grow another 3 inches by 2011, making John 49 inches tall in 2011. We can expect Dave to grow about another 7 inches by 2011, since another 4 years has passed. This seems reasonable enough...
Find the area of the figure
Answers
The area of the figure is 120 square feet
How to find the area of the figureArea of the figure is calculated by viewing the arrow (triangle) part as being congruent.
Such that the space at the left end is equal to the extra part at the right end
In this case we left with rectangle of
length, L = 12 ft
width, w = 10 ft
Area of rectangle = L* w
= 12 * 10
= 120 square feet
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If you know this please answer all fake answers will be reported thanks
Answers
Answer:
50.24 inches
Step-by-step explanation:
\(3.14 * 4^{2}\)
3.14 * 16
= 50.24
Two of the sides of a triangle are 7 inches
and 8 inches. If the third side is a whole
number of inches, what is its greatest
possible measure?
Answers
Answer:
11 inches
Step-by-step explanation:
7^2+8^2=c^2
49+64=c^2
113=c^2
square root both side
c=10.63014581
round up and get c=11
hope this helped :)
When writing an expression or equation to represent a real-world situation, why is it important to be able to describe what each part of the expression or
equations represents?
Answers
Answer:
If you know what each part of the expression or equations represents, it means that you understand the equation. You can solve the problem and know what you are doing.
I hope this helps! I'm sorry if it doesn't.
1. Find the angle between the vectors v and w in each of the following:
(a) v = (2, 1, 3)r, w = 6,3,9) r
(b) v = (2, -3)r, w = (3,2)r
(c) v = (4,1)r, w =(3,2)r
(d) v = (-2,3,1)r, w = (1,2,4) r
2. For each pair of vectors in Exercise 1, find the scalar projection of v onto w. Also find the vector projection of v onto w.
Answers
Angle between v and w ≈ 40.04 degrees , Angle between v and w = 90 degrees , Angle between v and w ≈ 27.98 degrees and Angle between v and w ≈ 39.24 degrees .
(a) To find the angle between vectors v and w, we can use the dot product formula: cos(theta) = (v · w) / (|v| |w|). Here, v = (2, 1, 3) and w = (6, 3, 9).
The dot product (v · w) = 2*6 + 1*3 + 3*9 = 6 + 3 + 27 = 36. The magnitudes are |v| = sqrt(2^2 + 1^2 + 3^2) = sqrt(14), and |w| = sqrt(6^2 + 3^2 + 9^2) = sqrt(126). Plugging these values into the formula, we get cos(theta) = 36 / (sqrt(14) * sqrt(126)).Taking the inverse cosine of this value, we find the angle theta ≈ 40.04 degrees. (b) Using the same approach, v = (2, -3) and w = (3, 2). The dot product (v · w) = 2*3 + (-3)*2 = 6 - 6 = 0. The magnitudes are |v| = sqrt(2^2 + (-3)^2) = sqrt(13), and |w| = sqrt(3^2 + 2^2) = sqrt(13).
Plugging these values into the formula, we get cos(theta) = 0 / (sqrt(13) * sqrt(13)) = 0.The angle theta is 90 degrees since the cosine is 0.
(c) For v = (4, 1) and w = (3, 2), The dot product (v · w) = 4*3 + 1*2 = 12 + 2 = 14. The magnitudes are |v| = sqrt(4^2 + 1^2) = sqrt(17), and |w| = sqrt(3^2 + 2^2) = sqrt(13). Plugging these values into the formula, we get cos(theta) = 14 / (sqrt(17) * sqrt(13)).Taking the inverse cosine of this value, we find the angle theta ≈ 27.98 degrees. (d) For v = (-2, 3, 1) and w = (1, 2, 4),
The dot product (v · w) = (-2)*1 + 3*2 + 1*4 = -2 + 6 + 4 = 8.The magnitudes are |v| = sqrt((-2)^2 + 3^2 + 1^2) = sqrt(14), and |w| = sqrt(1^2 + 2^2 + 4^2) = sqrt(21).Plugging these values into the formula, we get cos(theta) = 8 / (sqrt(14) * sqrt(21)).Taking the inverse cosine of this value, we find the angle theta ≈ 39.24 degrees.The scalar projection of v onto w can be calculated as s = |v| * cos(theta). The vector projection of v onto w can be calculated as P = (s/|w|) * w.
Therefore, Angle between v and w ≈ 40.04 degrees , Angle between v and w = 90 degrees , Angle between v and w ≈ 27.98 degrees and Angle between v and w ≈ 39.24 degrees .
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Given the time series 53, 43, 66, 48, 52, 42, 44, 56, 44, 58, 41, 54, 51, 56, 38, 56, 49, 52, 32, 52, 59, 34, 57, 39, 60, 40, 52, 44, 65, 43guess an approximate value for the first lag autocorrelation coefficient rho1 based on the plot of the series
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Answer:
So an approximate value for the first lag autocorrelation coefficient is $\hat{\rho}_1 \ approx 0.448$. This is consistent with the moderate positive linear association observed
Step-by-step explanation:
To estimate the first lag autocorrelation coefficient $\rho_1$, we can create a scatter plot of the time series against its lagged version by plotting each observation $x_t$ against its lagged value $x_{t-1}$.
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Here's the scatter plot of the given time series:
scatter plot of time series
Based on this plot, we can see that there is a moderate positive linear association between the time series and its lagged version, which suggests that $\rho_1$ is likely positive.
We can also use the formula for the sample autocorrelation coefficient to estimate $\rho_1$. For this time series, the sample mean is $\bar{x}=49.63$ and the sample variance is $s^2=90.08$. The first lag autocorrelation coefficient can be estimated as:
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So an approximate value for the first lag autocorrelation coefficient is $\hat{\rho}_1 \ approx 0.448$. This is consistent with the moderate positive linear association observed
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I’ve got 6 graphing questions today that I need help with please
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For a given simultaneous equation,
The point at which both the lines intersect gives us the solution.
Thus,
the point A gives the solution of the system of equation.
Answer is A.
HELPP GEOMETRY HOMEWORK
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All of the angles in an acute triangle are less than 90 degrees. Triangles are referred to as right triangles when one of their angles is 90 degrees.
What is called triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles. With three sides and three vertices, triangles are a particular kind of polygon in geometry.
It has three straight sides and is a two-dimensional figure. As a 3-sided polygon, a triangle is included. Three triangle angles added together equal 180 degrees. In one plane, the triangle is contained. When three straight lines cross, a triangle is the result. There are always three sides and three corners to a triangle (angles). A triangle's vertex is the location at which two of its sides meet.
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210 sheets of paper is 7cm thick. How thick of a pile would 1260 sheets make?
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Blake likes to go to baseball games. He purchases a ticket for each of his 3 friends coming to the game with him. Blake has a coupon for each ticket to get $10 off each ticket. Blake spent $280 on the tickets. How much does Blake pay for the tickets for his friends?
Answers
Step by step
Blake and 3 friends = 4 tickets
He spent $280 on tickets
$280 divided by 4 tickets = $70 per ticket
** $10 discount has nothing to do with the price, unless something is missing from the question?