Answers
The range of the function represented by the graph is 1 < y < 8
What is the domain of a function?The domain of the function is the set of input values of the graph
What is the range of a function?The range of a function is the set of output values of the graph.
How to determine the domain and the range?The graph represents the given parameters
On the graph, we have the following endpoints
Closed circle at (-13, 4)
Open circle at (11, 1)
Maximum = (4, 8)
The definition of the range implies that the range of a function is the set of y values of the graph.
Recall that
Closed circle at (-13, 4)
Open circle at (11, 1)
Maximum = (4, 8)
Remove the larger y value of the endpoints
Open circle at (11, 1)
Maximum = (4, 8)
Remove the x coordinates
So, we have
Open circle at (1)
Maximum = (8)
Combine the y values
1 < y < 8
Hence, the range of the function is 1 < y < 8
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Related Questions
What happens to the t distribution as degrees of freedom increase? question 6 options: it approaches the uniform disribution it approaches the normal disribution it approaches the exponential disribution it approaches the binomial disribution
Answers
As the degrees of freedom increase, the t distribution b. approaches the normal distribution, which is a key assumption in many statistical tests. Understanding this relationship is important for making accurate statistical inferences and drawing valid conclusions from data.
The t distribution is a probability distribution that is commonly used in hypothesis testing. It is similar to the normal distribution but with heavier tails. As the degrees of freedom increase, the t distribution approaches the normal distribution. This means that the shape of the t distribution becomes more and more like the normal distribution as the sample size increases.
The reason for this is that the t distribution is based on the sample mean, which becomes more normally distributed as the sample size increases due to the central limit theorem. As the sample size increases, the standard error of the mean decreases, and the t distribution becomes less spread out and more peaked. This is why we use the t distribution instead of the normal distribution when we have a small sample size.
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multiply out 4(a-7)
Answers
Step-by-step explanation:
4(a- 7) = 4×a-(7×4)
= 4a-(28)
= 4a-28.
4•(a-7)= 4a-28
Ulse the standard normal distribution or the f-distribution to construct a 95% confidence interval for the population meare Justify your decion, il newter distribution can bo used, explain why. Interpret the results In a randorn sample of 46 people, the mean body mass index (BMI) was 27.2 and the standard devation was 6.0f. Which distribution should be used to construct the confidence interval? Choose the correct answer below. A. Use a 1-distribuition because the sample is random, the population is normal, and σ is uricnown 8. Use a normal distribution because the sample is random, the population is normal, and o is known. C. Use a nomal distribution because the sample is random, n≥30, and α is known. D. Use a t-distribution because the sample is random, n≥30, and σ is unknown. E. Neither a normal distribution nor a t-distribution can be used because either the sample is not random, of n < 30 , and the population a nat known to be normal.
Answers
We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.
A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.
In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.
Thus, we need to use the t-distribution to construct the confidence interval.
The formula for the confidence interval is as follows:
Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368
Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).
This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.
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Five years from today you will receive $2,000. Following that, you will continue to receive $2,000 payments every year. These cash flows will continue forever. If the appropriate annual rate of return is 6%, how much should you be willing to pay for these cash flows today assuming annual compounding? Round only your final answer to the nearest dollar. a. $26,403 b. $24.909 c. $33,333 d. $23,499 e. None of the above are correct.
Answers
The Perpetuity formula is used to calculate the Present Value (PV) of an infinite series of cash flows at a 6% rate of return. PV = $2,000 / 6% = $33,333.33, so, option C is the correct answer.
The question requires that we calculate the Present Value (PV) of the infinite series of cash flows at a 6% rate of return. The formula to use in solving this problem is the Perpetuity formula. P = C / r
Where, P = Present Value (PV)
C = Cash flow (which in this case is $2,000) each period
r = discount rate, which is 6% in this case.
Substituting the figures, we have; PV = $2,000 / 6% = $33,333.33
The present value of the infinite series of cash flows is $33,333.33
. Therefore, option C is the correct answer.
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Eli wants to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in his garden. If he put the same number of plants in each row and each row has only one type of plant, what is the greatest number of plants I can put in one row? Do I use GCF or LCM to solve this question?
Answers
Answer:
9
Step-by-step explanation:
For this problem, you would use the GCF
Find the GCF of 45, 81, 63
GCF(45, 81, 63) = 9
45 = 9 * 5
81 = 9 *9
63= 9 * 7
Since 5, 9, 7 have no common factors, the GCF has to be 9.
This means that the greatest number of plants he can put in each row is 9.
The number of rows he uses for each plant will (obviously) vary.
Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.
Answers
The maximum amount you can earn is $540
a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.
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Find matrix M such that M × [3 -2 , 6 -8 ] = [-2 16]
Answers
The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]
Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16]. We know that the product of two matrices is equal to the sum of the products of their corresponding elements. We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.
a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...
(4)Simplifying equations (1) to (4), we get:
3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)
Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.
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i need the answer please i've tried working it different ways and i just don't get it
Answers
Answer:
tan A = 12/ 35
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan A = CB/ AB
tan A = 12/ 35
Given the following function, find f(-4), f(0), and f(4).
f(x) = x + 2
f(-4)=
f(0) =
f(4)=
Answers
Answer:
-2, 2, 6
Step-by-step explanation:
f(-4)= -4+2=-2
f(0)=0+2=2
f(4)=4+2=6
Substitute x for the number in parentheses
The values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function f(x) = x + 2
To find the value of f(-4):
Plug x = -4 in the function:
f(-4) = -4 + 2 = -2
To find the value of f(0):
Plug x = 0 in the function:
f(0) = 0 + 2 = 2
To find the value of f(4):
Plug x = 4 in the function:
f(4) = 4 + 2 = 6
Thus, the values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.
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A houe on the market wa valued at 376,000. After everal year, the value decreaed by 9%. By how much did the houe value decreae in dollar. What i the current value of the houe?
Answers
The house value is decreased by $33840 and the current value of the house is $342160
Here, we have been given a house on the market was valued at $376,000.
The value decreased by 9% .
We need to find the amount by which the house value decreased in dollar and the current value of the house.
The 9 percent of $376,000
376,000 * (9/100) = 33840
This means, the house value is decreased by $33840
So, the current value would be,
376,000 - 33840 = 342160
Therefore, the house value is decreased by $33840.
The current value = $342160
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Does anyone know what this is?
Answers
please help me on this please
Answers
Answer:
x = 57.59
Step-by-step explanation:
979 * 1 / 17
x = 57.59
cross multiply then divide.
if you want to be thorough and make the equation
17x = 979(1)
x = 57.59
A fair, 20-sided die with sides labeled 1 through 20 is rolled.
Consider the following events, and then answer the question.
A: rolling an even number
B: rolling a multiple of 4
C: rolling a number greater than 11
D: rolling a factor of 20
Which probability is the smallest?
Answers
B. Rolling a multiple of 4
Explanation:
Rolling A even number has 10/20 chances
Rolling a multiple of 4 has 5/20 chances
Rolling greater than 11 has 9/20 chances
Rolling a factor of 20 has 6/20 chances
= 10/20
B. 4,8,12,16,20
=5/20
C. 12-20
=9/20
D. 1,2,4,5,10,20
=6/20
Answer is B
retail= ______+amount of increase
Answers
An increase in retail sales typically means that more goods and services have been sold by retailers to consumers over a given period of time.
What causes this?
Consumer confidence: When people are feeling more confident in the economy and their own financial situation, they are more likely to spend money on goods and services. An increase in retail sales may therefore reflect an improvement in consumer sentiment.
Economic growth: Retail sales are a key component of the overall economy, so an increase in sales can be a sign of economic growth. When businesses are selling more, they may need to hire more employees and invest in more inventory, which can help drive economic expansion.
Seasonal factors: Retail sales can also be affected by seasonal factors, such as holidays, back-to-school shopping, and other events that may drive more consumer spending during certain times of the year.
Overall, an increase in retail sales is generally seen as a positive sign for the economy, as it suggests that consumers are spending more and businesses are generating more revenue.
P.S: Your question is incomplete, so I gave you a general overview of the key terms "retail sales" and "increase"
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Decide if the following equation is always true or never true.
x - 3 = 2x - 3 - x
ALWAYS TRUE
NEVER TRUE
Answers
Answer:
always true because 2x - x = x
Answer:
Always true
Step-by-step explanation:
Simplify it:
\(x-3=2x-3-x\\x-3=x-3\\x=x\\0=0\)
Inequalities in Two Triangles
Answers
Answer:
It looks blurry can you make it close up?
Step-by-step explanation:
Story "how beaver stole fire" select 2 words that describe beaver
long ago there were no people in the world. animals and trees talked just as men do now. they also walked about. now in those days, pine trees had the secret of fire. they would tell no one else. no one could have a fire, no matter how cold it was, unless he were a plne. one winter it was so cold the animals almost froze to death. then they called a council. they wanted to steal fire from pine trees. now on grande ronde river, plne trees were holding also a great council. they had buillt a large fire to warm themselves. guards were put around the fire to keep off all animals. but beaver hld under the bank, near the fire, before the guards took their places, so they did not see him. after a whille a live coal rolled down the bank near beaver. he hid it in his breast and ran away. pine trees started after him. when pine trees caught up near him, beaver dodged from side to side. other times he ran stralght ahead. that is why grande ronde river winds from side to side in some places. in other places it is straight. when they had run a long way, pine trees grew tired. they stopped on the river banks. so many stopped there, and so close together, that even today hunters can hardly get through the trees. a few kept on after beaver and stopped here and there. these also remaln here and there on the river bank. of the hill. beaver was far ahead. he was just diving into big snake river where grande ronde joins it. beaver swam across big snake river and gave fire to willows on the opposite bank. farther on he gave fire to birches and to other trees. so these woods have fire in them. ever since then animals and indians can get fire from these woods by rubbing two pieces together. cedar still stands all alone on the very top of the hill. he is very old. his top is dead. the chase was a long one. you can see that because there are no other cedars within a hundred miles of him. old men of the tribes point him out to the children. they say, "there is old cedar. he stands just where he stopped when he chased beaver."plssss help noeww
Answers
Two words that describe the beaver in the story "How Beaver Stole Fire" are cunning and resourceful.
Beaver demonstrates his intelligence and cleverness by hiding near the fire and stealthily taking live coal without being noticed. He then uses his agility to outmaneuver the pursuing pine trees, leading them on a chase that results in the winding path of the Grande Ronde River. These qualities highlight the beaver's ability to strategize and adapt to overcome obstacles and achieve his goal of bringing fire to other trees and animals.
In the story, the beaver's actions showcase his cunning nature. He carefully observes the guards around the fire and waits for an opportunity to snatch live coal. His resourcefulness is evident as he hides the coal in his breast, ensuring its safety while he makes his escape. Beaver's quick thinking and ability to navigate through the forest while being pursued by pine trees demonstrate his cleverness and agility.
Furthermore, beaver's actions have long-lasting consequences in the landscape. The winding path of the Grande Ronde River is attributed to the beaver's evasive movements during the chase. This explanation provides a mythological origin for the river's unique shape. It highlights the beaver's impact on the environment and his ability to shape the physical features of the land.
Overall, the story portrays beaver as a cunning and resourceful character, showcasing his intelligence, adaptability, and influence on the natural world.
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Marvin is paying off a $6,800 loan that he took out for his new business. The loan has a 5. 2% interest rate and Marvin will pay it off in 5 years by making monthly payments of $128. 95. Find the total cost of repayment and the interest Marvin will pay on his loan
Answers
The total cost of repayment will be $7,737.00, and Marvin will pay $937.00 in interest over the 5-year period.
To find the total cost of repayment, we need to calculate the total amount that Marvin will pay over the course of 5 years. Since he is making monthly payments, we need to first find the total number of payments he will make:
Total number of payments = 5 years x 12 months/year = 60 payments
The total amount Marvin will pay is then:
Total amount = 60 payments x $128.95/payment = $7,737.00
To find the total interest Marvin will pay, we need to subtract the original amount of the loan from the total amount he will pay:
Total interest = Total amount - Loan amount
Total interest = $7,737.00 - $6,800.00
Total interest = $937.00
Therefore, the total cost of repayment will be $7,737.00, and Marvin will pay $937.00 in interest over the 5-year period.
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What is the solution to the equation 2n - 3 = 7
Answers
Answer:
Step-by-step explanation:
2n-3=7
2n=4
n=4/2
4/2=2
N=2
Hope this helps!
Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the nearest whole number.
ft
Answers
Answer:
52ft
Step-by-step explanation:
5738 divided by 8 (i only need the remainder)
Answers
Answer:
717.25 that's the answer
5738 divided by 8 but you only want the R and the R is 2869
2. 20 ÷ (5 × 2/5)+ 3
Answers
Answer:
4.1
Step-by-step explanation:
Answer:
= 13
Step-by-step explanation:
20 ÷ (5×2/5) + 3
= 20 ÷ (10/5) + 3
= 20 ÷ 2 + 3
= 10 + 3
= 13
Which is a better deal: A tool that costs $13.99 with 7% tax or the same tool that costs $14.03 with 6.5% tax
Answers
Answer:
The tool with 6.5% tax rate is better
At a local fast food restaurant, a regular drink costs $2.25. A larger drink can be purchased for an additional $0.25 per ounce above the regular size.
If n represents the number of ounces above the regular size, which inequality shows how much can be added to the regular size for a drink that costs under $4.00?
Answers
The inequality that shows how much can be added to the regular size for a drink that costs under $4.00 is given as follows:
2.25 + 0.25n < 4.
How to model the inequality?The drink costs $2.25, plus each of the n additionals cost $0.25, hence the total cost is given as follows:
T(n) = 2.25 + 0.25n.
For a cost under $4, the cost must be less than $4, hence the inequality is given as follows:
2.25 + 0.25n < 4.
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Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answers
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
A virus is viewed under a
microscope. Its diameter is
0.0000002 meter. How would this
length be expressed in scientific
notation?
O 2x 10-7 m
O
2 x 10-6 m
O
O
2 x 107 m
2 x 106 m
4
Answers
The length would be expressed as 1×10²⁰⁰⁰⁰mm.
===================================================================Hope this helped!
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pllllllllsssssss help 25 points
Answers
Answer:
just buy a phone with a screen protector
Step-by-step explanation:
You report a confidence interval to your boss but she says that she wants a narrower range. SELECT ALL of the ways you can reduce the width of the confidence interval. o Increase the sample size o Decrease the sample size o Increase the confidence level o Decrease the confidence level I
o ncrease the mean o Decrease the mean
Answers
We can reduce the width of the confidence interval by increasing the sample size, reducing the confidence level and decreasing the mean (A, D, and F)
What is a confidence interval?A confidence interval is an estimate of the interval that has a specified probability of including an unknown population parameter.
The purpose of a confidence interval is to estimate the true value of the population parameter being measured, such as a mean, a standard deviation, or a proportion.
In general, a wider confidence interval indicates more uncertainty about the estimate, while a narrower confidence interval suggests more precision in the estimate.
We want narrower confidence intervals to demonstrate more precision, as this allows us to draw more reliable conclusions about population parameters.
We cannot reduce the width of the confidence interval by increasing the sample size, increasing the confidence level or increasing the mean.
Thus, the correct options are a, d, and f.
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The rock has fallen how many feet?
Answers
Answer:
we can't see please zoom in.
Step-by-step explanation:
If a scattergraph contains points that do not fall in a perfect line: Multiple Choice a straight line can still be used to approximate the relationship if a general linear trend can be discerned. the relationship between the variables is not good enough to warrant fitting a line to the data. this is an indication that there is no relationship whatsoever between the variables. the visual fit method and high-low methods should not be used, but least-squares regression can be used.
Answers
Answer:
a straight line can still be used to approximate the relationship if a general linear trend can be discerned.
Step-by-step explanation:
The correct option is - A straight line can still be used to approximate the relationship if a general linear trend can be discerned.
Reason -
If a scatter graph contains points that do not fall in a perfect line, then a straight line can still be used to approximate the relationship if a general linear trend can be discerned.