Given:
The points are (5,40) and (0,10).
To find:
The equation for the trend line using the given points.
Solution:
If a line passes through two points, then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Two points are (5,40) and (0,10). So, the equation of trend line is
[tex]y-40=\dfrac{10-40}{0-5}(x-5)[/tex]
[tex]y-40=\dfrac{-30}{-5}(x-5)[/tex]
[tex]y-40=6(x-5)[/tex]
[tex]y-40=6x-30[/tex]
Adding 40 on both sides, we get
[tex]y=6x-30+40[/tex]
[tex]y=6x+10[/tex]
Therefore, the equation of trend line is [tex]y=6x+10[/tex].
Olivia completed a high dive from a platform at a recent competition.
The graph below shows her distance from the pool, in meters, as a
function of time, in seconds.
Answer:
B
Step-by-step explanation:
Answer:
B). It takes Olivia about 3.2 seconds to enter the pool.
The sales tax for an item was $36.80 and it cost $460 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
16,928
Step-by-step explanation:
just solve it in calculation so you can see the answer
and remember study hard to go to bts concert joke to your dream
$5200 at 7.36% for 54 months
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answer:
Step-by-step explanation:
A)5200*54/12*7.36/100=5440.44
b)5200+5440.4410,640.44
Answer:
a. $1722.24 b. $6922.24
Step-by-step explanation:
for a: 5200*0.0736*54/12= 1722.24
for b: 1722.24+5200= 6922.24
every computer that a business owner purchases will lose most of its value after 5 years of use. the owner plans to purchase a computer for $2.100 and replace it after 4 years.
The business owner bought a computer that cost $2,400 instead of $2,100. the owner plans to replace the computer after 3 years instead of 4 years. Comparing both methods, which statement is true about the remaining value of this computer after 3 years of use ?
Answer:
Step-by-step explanation:
a) Data and Calculations:
Estimated useful life of a computer = 5 years
Cost of a computer purchased = $2,400
Annual depreciation expense = $480 ($2,400/5)
This means that the business owner chooses to spread (expense) the cost of the computer over 5 years at a rate of $480.
After 3 years, the cost already expensed = $1,440 ($480 * 3)
The Remaining value of this computer after 3 years of use will be $960 ($2,400 - $1,440).
b) Depreciation is an accounting method for spreading (or expensing) the cost of a long-term asset over its useful life.
Write 34% as a fraction or mixed number in simplest form
17/50 = 34% Hope this helped
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices. Of the devices checked, 84% are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.
The probability of an incorrect conclusion is,
In 84 % of inspection, [tex]7.56\%[/tex] of them labeled as not defective but they are actually defective
Probability :It is given that,
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices.
Of the devices checked, 84% are not defective.
Actual not defective is,
[tex]\frac{91*84}{100} = 76.44\%[/tex]
In [tex]84\%[/tex] of inspection,[tex]76.44\%[/tex] are actually not defective
But [tex]84- 76.44 = 7.56\%[/tex] of them labeled as not defective but they are actually defective
Learn more about Probability here:
https://brainly.com/question/24756209
b - 1/8= 3 1/2
what’s b equal
Here are the first four terms of a number sequence.
8
14
20
26
Write down the next term of the number sequence and explain how you found your answer
3 3/10 divided by 1 4/7. divided in its lowest terms
Answer:
2.1
Step-by-step explanation:
-(-10)=?
Please help me with this equation!!
Answer:
+10
positive 10
:))))))))))
This is another 2 step. Please be sure to answer the question fully and show all of your work! I don't like reporting people.
Answer:
JR = 29∠JLM = 25°Step-by-step explanation:
Diagonals of the parallelogram bisect each other
Note. The first question is repeated as A and B
A) KR = 1/2KM
Substitute and solve for x:
x + 7 = 1/2(3x - 5)2x + 14 = 3x - 53x - 2x = 14 + 5x = 19Find JR
JR = 1/2JL JR = 1/2(4x - 10) = 2x - 5 = 2*19 - 5 = 34 - 5 = 29B)
∠LJM ≅ ∠JLK as alternate interior angles∠JKL ≅ ∠JML as opposite angles of parallelogramInterior angles of the triangle sum to 180°:
m∠JLK + m∠LJK + m∠JKL = 180°m∠JLM = m∠JLK = 180° - (56° + 27° + 72°) = 25°what fraction does each get if six people share one whole pizza
Answer:
Does it say how many peices the pizza has? (if not then 1/6 ^^)
What type of triangle is triangle ABC?
Give your reasons for your answer:
Answer:
a. Isosceles
b. It has two equal angles
Step-by-step explanation:
✅<DCA = <BAC = 50° (alternate interior angles are congruent)
<ACB = 180 - (<BAC + <ABC) (sum of triangle)
<ACB = 180° - (50° + 80°) (substitution)
<ACB = 50°
✅∆ABC is an isosceles triangle judging from the measure of its three angles. ∆ABC has two equal angles. ∆ABC is therefore an isosceles ∆.
Part 2: Free Response 11. The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is Normal with mean 8.1 ounces and standard deviation 0.1 ounces. Company managers do not want the weight of a chocolate bar to fall below 8 ounces, for fear that consumers will complain. (a) Find the probability that the weight of a randomly selected candy bar is less than 8 ounces.
Answer:
0.1587 = 15.87% probability that the weight of a randomly selected candy bar is less than 8 ounces.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is Normal with mean 8.1 ounces and standard deviation 0.1 ounces.
This means that [tex]\mu = 8.1, \sigma = 0.1[/tex].
(a) Find the probability that the weight of a randomly selected candy bar is less than 8 ounces
This is the pvalue of Z when X = 8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8 - 8.1}{0.1}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.1587 = 15.87% probability that the weight of a randomly selected candy bar is less than 8 ounces.
plzzz help I picked A already and it was wrong
Answer:
probably C I'm terrible at math but that look about right
You have inherited land that was purchased for $65,000 in 2015. The value of the land
increased by approximately 5% per year. What is the approximate value of the land in
the year 2030?
Answer:
in 2030 the land will aproxmatly be worth $113750
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
x = 12
Step-by-step explanation:
6. The sum of two numbers is 30. The sum of the
first number and three times the second number
is 54. What is the product of the two numbers?
Set up an equation and use it to solve for X
(6x + 3)
33°
9514 1404 393
Answer:
24
Step-by-step explanation:
The angles of a linear pair are supplementary.
(6x +3)° +33° = 180°
6x = 144 . . . . . . . . . . . divide by °, subtract 36
x = 24 . . . . . . . . divide by 6
Write a multiplication equation and a division equation that represent this situation. Use “?” to represent the unknown quantity.
Answer:
csdkc kwhbfc d cjasd c
Step-by-step explanation:
sdjnf ewaihfbashehkf liq4bf;wjhf
10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)
Answer:
10) Total Discount = $15 dollars; New Amount = $60 dollars.
11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.
12a) Percent Increase from $100 to $150: 50% increase.
12b) Percent Decrease from $150 to $100: 33.33% decrease.
Step-by-step explanation:
I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)
In an arithmetic sequence, u1 = 1.3 , u2 = 1.4 and uk = 31.2.
7a. Find the exact value of Sk
What is 55 percent of 880?
Answer:
55% of 880= 484
Step-by-step explanation:
60% of what number is 33?
60 percent (calculated percentage %) of what number equals 33? Answer: 55.
Answer:
55 :)
Step-by-step explanation:
The Kelly Students Council sold holiday swags for $10 for a fundraiser.. They spent $90 on materials to make the swags.. If they want to make at least $400,, how many swags do they need to sell? Write and solve the inequality.
Answer:
the answer would be 49
Step-by-step explanation:
they need to sell 49 to get their money back and make the 400 dollar goal
Suppose you have $20 in your bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each
week. Assume that neither you nor your friend makes any withdrawals.
After how many weeks will you and your friend have the same amount of money in your accounts? How much money will each of you
have?
Answer:
The answer is after 3 weeks you will have the same amount of money
Step-by-step explanation:
5x + 20 = 10x +5
5x - 10x = 5 -20
-5x = -15
x = -15/-5
x = 3
MARKING BRAINLY ASAP
Answer:
https://brainly.com/question/20936691
I answered it here, but you might have to search the answers for part A. Sorry.
Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools
Answer:
its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest
The population of interest will most likely be option B. all of the sea urchins near the plant.
The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.
A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.
Learn more about population of interest here:
brainly.com/question/16976252
What is the better buy? 2 for $3.00 (Or) 8 For $12.40
Answer:I say 8 for $12.40
Step-by-step explanation:
Answer:
8 for 12.50
Step-by-step explanation:
12.50/8 = 1.55
3.00/2= 1.50
youre getting 6 more pens for only 5 cents more
Please help if you would be so kind, it’s geometry:
Answer:
Step-by-step explanation:
x+(4x-8)+(x+8) = 180
x = 30
∠C = x+8 = 38°
height = 7sin38°
area =0.5·13·7sin38° ≅ 28.0126 cm²