1. (8 points) Estimate the area under the curve of f(x) = x2 on the interval (0,3] using right endpoints and a. 4 rectangles. b. 6 rectangles. c. Which is more accurate? Why?
Answers
The area under the curve of f(x) = x^2 on the interval (0, 3] using right endpoints and rectangles.
a. Using 4 rectangles:
Step 1: Divide the interval (0, 3] into 4 equal subintervals: Δx = (3-0)/4 = 0.75. So, the subintervals are [0, 0.75], [0.75, 1.5], [1.5, 2.25], and [2.25, 3].
Step 2: For each subinterval, use the right endpoint to calculate the height of the rectangle. Then, multiply it by the width (Δx) to find the area of each rectangle.
Step 3: Sum the areas of all rectangles to estimate the total area under the curve.
b. Using 6 rectangles:
Step 1: Divide the interval (0, 3] into 6 equal subintervals: Δx = (3-0)/6 = 0.5. So, the subintervals are [0, 0.5], [0.5, 1], [1, 1.5], [1.5, 2], [2, 2.5], and [2.5, 3].
Step 2: Repeat the process from Step 2 of part a, using the right endpoints of each subinterval to calculate the height and area of the rectangles.
Step 3: Sum the areas of all rectangles to estimate the total area under the curve.
c. The more accurate estimate is the one using 6 rectangles. The reason is that as the number of rectangles increases, the approximation becomes more precise. This is because smaller rectangles can better fit the curve, resulting in less discrepancy between the rectangles' combined area and the actual area under the curve. In this case, using 6 rectangles provides a closer estimate to the true area than using 4 rectangles.
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Related Questions
3. The width of a building is 51 ft. A model of the building has a width of 6 ft. Find the ratio of the actual width of the building to the width of the model as a fraction in simplest form.
Answers
Answer:
Your question does not make sense
Step-by-step explanation:
If x = –6 and y = 2, evaluate the following expressions:
i) (4y)2 – (2x) 2=
ii) 4y2 – 2x2=
Answers
Answer:
Step-by-step explanation:
(1) 80
(2) 56 i think
600 is invested for 3years at a 9% how much simple interest will be earned
Answers
we have to work money every day
a conditional relative frequency table is generated by column from a set of data. the conditional relative frequencies of the two categorical variables are then compared. if the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data?
Answers
When comparing the conditional relative frequencies of two categorical variables, if the relative frequencies being compared are 0.21 and 0.79, the most likely conclusion supported by the data is that there is a significant difference or association between the variables.
A relative frequency of 0.21 indicates a relatively low occurrence or proportion of the data falling into one category, while a relative frequency of 0.79 suggests a significantly higher occurrence or proportion in the other category. This stark contrast in relative frequencies implies that the two variables are not independent and that there is likely a strong relationship between them. Therefore, based on the provided data, it is reasonable to conclude that the variables being compared exhibit a notable association or dependency, with one category being much more prevalent than the other.
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Based on the given information, if the relative frequencies being compared are 0.21 and 0.79, the most likely conclusion supported by the data is that there is a significant disparity or imbalance between the two categorical variables.
A relative frequency of 0.21 suggests a relatively low occurrence or representation of one category, while a relative frequency of 0.79 indicates a significantly higher occurrence or representation of the other category. This stark difference in relative frequencies implies that the two variables are not evenly distributed and that there may be a strong association or correlation between them. It suggests that one category is more prevalent or influential compared to the other. Further analysis and investigation would be required to understand the underlying factors contributing to this imbalance and the implications of this relationship.
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What is the area of the partial circle with a radius of 8 cm? use 3.14 for pi. responses 37.68 cm² 37.68 cm² 50.24 cm² 50.24 cm² 150.72 cm² 150.72 cm² 200.96 cm²
Answers
The area of the partial circle with a radius of 8 cm = 150.72 \(cm^{2}\), then the we can use \(\pi =3.14\) value.
The circle is missing 1/4, so the area of it is just 3/4 of the whole area of the circle.
Area of a circle is the region occupied by the circle in a two-dimensional plane.
It can be determined easily using a formula, A = \(\pi r^{2}\) , (Pi r-squared) where r is the radius of the circle.
The unit of area is the square unit, such as \(m^{2}\), \(cm^{2}\), etc.
Area of Circle = \(\pi r^{2}\) or \(\frac{\pi d^{2} }{4}\), square units. where π = 22/7 or 3.14.
Area of a circle,
A = \(\pi r^{2}\) (Equation-1)
Where,
r = radius
Given that,
r = 8cm
We can substitute equation-1,
A = \(\pi 8^{2}\) cm * cm
A = \(64\pi\) \(cm^{2}\)
So,
We can write,
Whole one quarter,
\(\frac{4}{4} -\frac{1}{4}\) \(=\frac{3}{4}\)
We can get,
= \(\frac{3}{4} *64\pi\)
= 48\(\pi\)
We can substitute \(\pi =3.14\) value,
Then,
= 48 * 3.14
= 150.72 \(cm^{2}\)
Therefore,
The area of the partial circle with a radius of 8 cm = 150.72 \(cm^{2}\), then the we can use \(\pi =3.14\) value.
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what is the one-way analysis of variance used to test for? what is the one-way analysis of variance used to test for? equality of three or more population means equality of three or more population proportions equality of three or more sample means equality of three or more population variances
Answers
Main Answer:The correct answer is "equality of three or more population means."
Supporting Question and Answer:
What is the purpose of the one-way analysis of variance (ANOVA) test?
ANOVA helps to assess whether these differences are statistically significant by comparing the variation between the groups to the variation within the groups.
Body of the Solution:The one-way analysis of variance (ANOVA) is used to test for" the equality of three or more population means". ANOVA compares the variation between the groups (due to differences in means) to the variation within the groups (due to individual differences within each group) to assess whether the observed differences in means are statistically significant. Therefore, the correct answer is:
"equality of three or more population means."
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5. Which mapping represents the relation {(-2, 4), (4, 2), (2, 4), -4,
2)}?
Answers
Answer:
B
Step-by-step explanation:
please help me!!!!!!!!
Answers
The mean of the data is X = 85. The variance is 187.5. The standard deviation is σ = 13.7
Describe Standard Deviation?Standard deviation is a measure of the amount of variability or dispersion of a set of data points from the mean value. It is calculated by finding the square root of the variance, which is the average of the squared differences between each data point and the mean. The standard deviation indicates how far the data points are from the mean on average, with larger values indicating greater variability and smaller values indicating less variability. The standard deviation is a commonly used measure of spread in statistics and is often used to describe the distribution of a dataset. It is denoted by the symbol σ (sigma) for a population and s for a sample.
To find the mean of the data, we add up all the values and divide by the total number of values:
X = (90 + 75 + 60 + 85 + 65 + 80 + 70 + 75) / 8
= 680 / 8
= 85
So the mean of the data is X = 85.
To find the variance, we need to first find the deviation of each value from the mean, square each deviation, and then take the average of the squared deviations:
deviation of 90 from mean = 90 - 85 = 5
deviation of 75 from mean = 75 - 85 = -10
deviation of 60 from mean = 60 - 85 = -25
deviation of 85 from mean = 85 - 85 = 0
deviation of 65 from mean = 65 - 85 = -20
deviation of 80 from mean = 80 - 85 = -5
deviation of 70 from mean = 70 - 85 = -15
deviation of 75 from mean = 75 - 85 = -10
Now, we square each deviation and find the average:
variance = [(5)² + (-10)² + (-25)² + (0)² + (-20)² + (-5)² + (-15)² + (-10)²] / 8
= (25 + 100 + 625 + 0 + 400 + 25 + 225 + 100) / 8
= 1500 / 8
= 187.5
So the variance is 187.5.
Finally, the standard deviation is the square root of the variance:
σ = √(187.5)
= 13.7 (rounded to the nearest tenth)
Therefore, the standard deviation is σ = 13.7 (rounded to the nearest tenth).
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Given the system of inequalities below, determine the shape of the feasible region and find the corner points of the feasible region. Give the shape as "triangle". "quadrilateral", or "unbounded". Report your corner points starting with the one which has the smallest x-value. If more than one corner point has the same smallest x-value, start with the one that has the smallest y-value. Proceed clockwise from the first corner point. Leave any unnecessary answer spaces blank. ⎩
⎨
⎧
x+y≥6
4x+y≥10
x≥0
y≥0
The shape of the feasible region is (a) The first corner point is ( The second corner point is ( The third corner point is ( The fourth corner point is
Answers
The shape of the feasible region is a quadrilateral.
The corner points of the feasible region are as follows:
(0, 6)
(2, 2)
(5, 1)
(10, 0)
To determine the corner points of the feasible region, we can solve the system of inequalities simultaneously.
From the inequality x + y ≥ 6, we have y ≥ 6 - x.
From the inequality 4x + y ≥ 10, we have y ≥ 10 - 4x.
The constraints x ≥ 0 and y ≥ 0 represent non-negativity conditions.
To find the corner points, we need to find the intersection points of the lines defined by the inequalities.
At the intersection of y = 6 - x and y = 10 - 4x, we have:
6 - x = 10 - 4x
3x = 4
x = 4/3
Substituting back into y = 6 - x, we get y = 6 - 4/3 = 14/3.
Therefore, the first corner point is (4/3, 14/3) or approximately (1.33, 4.67).
At the intersection of y = 6 - x and x = 0, we have:
y = 6 - 0
y = 6.
Therefore, the second corner point is (0, 6).
At the intersection of y = 10 - 4x and x = 0, we have:
y = 10 - 4(0)
y = 10.
Therefore, the third corner point is (0, 10).
At the intersection of y = 10 - 4x and y = 0, we have:
0 = 10 - 4x
4x = 10
x = 10/4 = 5/2 = 2.5.
Therefore, the fourth corner point is (2.5, 0).
These four points form the corner points of the feasible region, which is a quadrilateral.
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we have a random sample of size 459 from the population of current customers. suppose that the population mean of an interval-scaled measure of customer satisfaction is 0.66 and that the population proportion of those in the category of unhappy or very unhappy is 0.47 what is the mean of the sampling distribution of the sample proportion for those in the category unhappy or very unhappy? (round to 3 digits after the decimal point.)
Answers
0.470
To calculate the mean of the sampling distribution of the sample proportion for those in the category unhappy or very unhappy, you should follow the steps given below:
Step 1: Identify the values.n = 459p = 0.47Step 2: Determine the mean of the sampling distribution of the sample proportion of customers who are unhappy or very unhappy.μ = p = 0.47. Therefore, the mean of the sampling distribution of the sample proportion for those in the category unhappy or very unhappy is 0.470 (rounded to three decimal places).Note: A mean is a statistical measure that is used to calculate the central tendency of a dataset. It is defined as the average of a dataset or a set of numbers. The mean can be calculated for both interval-scaled measures as well as proportion.
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After pressing submit or a par or kc quiz, d2l provides a warning if you have not saved your answers to one or more questions before grading your assignment. Since you are still permitted submit a quiz with unanswered questions, using a warning approach is an example of what type of error prevention?.
Answers
The warning approach is an example of Detection of error type prevention.
What is error?Error is a conscious or unconscious departure from a standard of conduct. A bug is a mistake in computer data. A software bug is an error, flaw, failure, or fault that results in an unwanted behavior from a computer program or system or leads it to deliver an inaccurate or unexpected outcome. Errors caused by bugs may have repercussions. The majority of defects are caused by faults and blunders in a program's source code, in its design, or in the parts and operating systems that these programs rely on.
After pressing submit or a PAR or KC quiz, D2Lprovides a warning if you have not saved your answers to one or more questions before grading your assignment. Since you are still permitted submit a quiz with unanswered questions, using a warning approach is an example of Detection type of error prevention
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Please help, algebra 1 unit 4 lesson 1
5. A number of identical cups are stacked up. The number of cups in a stack and the
height of the stack in centimeters are related.
a. Can we say that the height of the stack is a function of the number of cups in
the stack? Explain your reasoning.
b. Can we say that the number of cups in a stack is a function of the height of the
stack? Explain your reasoning.
Answers
For deducing the answers, you can use what does function of something means.
a) Yes, height of the stack is a function of the number of cups in the stack.
b) Yes, we can say that the number of cups in a stack is a function of the height of the stack.
What is a function?There are two sets of values. When we connect first set's values with other set, it is called mapping one set's value to other set. All type of mappings are called relations.
Such relations which are such that each element of the first set(also called input set or domain) is mapped to only one value of the other set(called codomain, and if all values are occupied, then called range or output set), then such relation is called function.
So, for a mapping to be function, we need each input to be mapped to only one output.
Is height of the stack a function of the number of cups in the stack?First, know that as the amount of cup is increasing, the height of the stack is increasing. This shows that the number of cups in the stack of the cups is related to the height of the stack.
Now we have to check if this can be a function.
For height of stack to be a function of the number of cups in the stack, we need input set(which is number of cups) to map to single value to output set(the height of the stack).
Since a fixed amount of cups in the stack cannot have two different height, thus there is single output to each of the input.
Thus,
\(h = f(n)\)
(where f is the function of n which is number of cups and it shows that h is function of n where h denotes the height of the stack)
Is number of cups a function of the height of the stack?Similar to the above condition, we now have input as height of the stack and output as the number of cups.
Since one height of the stack cannot have different amount of cup(assuming that the arrangement was uniform. This assumption is very important in deciding if that relation will be a function or not. Since it was given that the cups are identical, we can assume that the stack was formed uniformly unless otherwise stated), thus we have one height mapping to one value of n, thus
\(n = g(h)\) where g is a function of h
Thus,
a) Yes, height of the stack is a function of the number of cups in the stack.
b) Yes, we can say that the number of cups in a stack is a function of the height of the stack.
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a(describe how to simplify the radical in wordsb(simplify the radical completely
Answers
ANSWER and EXPLANATION
a) To simplify the radical, we have to:
1) First, express the number inside the radical as a product of a perfect square and a number that is not a perfect square.
2) Next, we separate the numbers into two radicals and find the square root of the perfect square.
3) Finally, we find the product of the number and the remaining radical.
B) Following the steps above:
STEP 1
\(\sqrt[]{98}=\sqrt[]{49\cdot2}\)STEP 2
\(\begin{gathered} \sqrt[]{49}\cdot\sqrt[]{2} \\ 7\cdot\sqrt[]{2} \end{gathered}\)STEP 3
\(7\sqrt[]{2}\)4x10^8 has how many times more than 5 x 10^7
Answers
Answer:
8 times larger
Step-by-step explanation:
4 × \(10^{8}\) = 4 × 100000000
400000000
5 × \(10^{7}\) = 5 × 10000000
50000000
400000000 ÷ 50000000
8
why are marcel’s and stephanie’s taxable incomes less than their annual salaries?
Answers
The taxable income of Marcel and Stephanie is less than their annual salary because they are allowed to make deductions from their income before calculating their taxable income.
These deductions include contributions to retirement plans, health insurance premiums, and other eligible expenses. The amount of deductions varies depending on factors such as the type of expense and the individual's tax filing status.
Thus, the taxable income is the amount of income that is subject to taxation, and it is generally lower than the individual's annual salary. In the case of Marcel and Stephanie, their taxable incomes are calculated by subtracting their deductions from their respective annual salaries.
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Complete Question:
Why are Marcel's and Stephanie's taxable incomes less than their annual salary? Marcel's annual salary is $30,000 and his income is $17,450. Stephanie's annual salary is $50,000 and her income is $37,600.
An oil tanker can be emptied by the main pump in 4 hours. An auxiliary pump can empty the tanker in 9 hours.If the main pump is started at 6 PM, when should the auxiliary pump be started so that the tanker is emptied by 9 PM,The auxiliary pump should be started at
Answers
Explanation
To solve the question, we will be aware that
There are 3 hours between 6PM and 9PM ,
The main pump's emptying rate is 1/4 tanker per hour. It will be open
the entire 3 hours, so it will empty 3/4 of the tank.
this means that the auxiliary pump must empty the remaining 1/4
Thus
\(rate\text{ in tanker per hour }\times time\text{ required=}\frac{1}{4}tank\)Thus, we will have
\(\frac{1}{4}\times3\text{ hours =45 minutes}\)Therefore
The auxiliary pump should start by 6pm + 45 minutes = 6:45pm
Find the sum of each sequence.
31,41,51,61,71,81,91,101
Group of answer choices
417
528
639
427
Answers
Answer:
528
Step-by-step explanation:
We are given the following sequence:
31,41,51,61,71,81,91,101
Count the terms and see that there are 8 terms total.
If you notice, each terms add up by 10.
31+10 = 41
41+10 = 51
51+10 = 61
Therefore, this is an arithmetic sequence with 10 as common difference.
To find the sum of 8 sequences, we will be using the following formula.
\( \displaystyle \large{S_n = \frac{1}{2} n(a_1 + a_n)}\)
We know that:
There are 8 terms total. (n = 8)Our first term is 31 (a1 = 31)Our last term is 101 (an = 101)Substitute the following in the sum formula.
\( \displaystyle \large{S_8 = \frac{1}{2} (8)(31+ 101)} \\ \displaystyle \large{S_8 = 4(132)} \\ \displaystyle \large{S_8 = 528}\)
Therefore, the sum of all 8 sequences is 528.
Combine the following expressions. 1/3√45- 1/2√12 +√20+2/3√27 3 + 4 + 3 +
Answers
The combination of the expression is \(5\sqrt{5} + \sqrt{3} + 10\)
We are given that;
The expression= 1/3√45- 1/2√12 +√20+2/3√27 3 + 4 + 3
To combine the expressions, we need to simplify the radicals and find the common factors.
Rewrite the radicals as fractional exponents
= \(\frac{1}{3}(45)^{\frac{1}{2}} - \frac{1}{2}(12)^{\frac{1}{2}} + (20)^{\frac{1}{2}} + \frac{2}{3}(27)^{\frac{1}{2}} + 3 + 4 + 3\)
Simplify the coefficients and combine the like terms:
\(=5\sqrt{5} + \sqrt{3} + 10\)
Therefore, the expression will be \(5\sqrt{5} + \sqrt{3} + 10\).
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NEED HELP!!! 30 POINTS
FIND THE RATIONAL EXPONENT FORM!!
Answers
Answer:
Step-by-step explanation:
The root which is 2 is the fractional portion of your exponent
\(\sqrt{x^{7} y^{12} }\)
=\((x^{7} y^{12} )^{\frac{1}{2} }\) >You can distribute 1/2 to each term by multiplying
\(=x^{\frac{7}{2} } y^{6\)
PLEASE HELP MEEEEEEE
Answers
Answer:
so as you see im in middle school but i can solvee it
Step-by-step explanation:
even im in 6th grade i do well with high school stuff ok now let me xplain you just read it carifully eamil your teacher ask for help and doneee your brain is working bam bam bam
A two digit number less than 30 is written down at random. What is the probability that it Will be a prime number?
Answers
Answer:
there are 20 2 digit numbers less than 30.
out of all of them 6 are prime
then there is only a 6/20 chance that it will be a prime number, or a 30% chance.
the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.
To determine the probability that a randomly chosen two-digit number less than 30 is a prime number, we first need to identify the prime numbers within this range.
The prime numbers less than 30 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
Out of these ten prime numbers, we need to count how many are two-digit numbers less than 30. There are five such prime numbers: 11, 13, 17, 19, and 23.
Since we are considering all possible two-digit numbers less than 30, which is a total of 29 numbers, the probability of randomly selecting a prime number is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 5 / 29
Hence, the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.
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Jaymes Corporation produces high-performance rotors. It expects to produce 30,000 rotors in the coming year. It has invested $6,000,000 to produce rotors. The company has a required return on investment of 11%. What is its ROI per unit?
Answers
The ROI per unit for Jaymes Corporation's rotors is $200.
To calculate the ROI per unit, we need to divide the total return on investment by the number of units produced. In this case, the company has invested $6,000,000 to produce 30,000 rotors.
ROI per unit = Total ROI / Number of units produced
Total ROI = $6,000,000
Number of units produced = 30,000
ROI per unit = $6,000,000 / 30,000 = $200
Therefore, the ROI per unit for Jaymes Corporation's rotors is $200. This means that for every rotor produced, the company expects to generate a return of $200.
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Suppose you deposit $2000 in a savings account that pays interest in an annual rate of 6%. If no money is added overdrawn from the account, answer the following questions
Answers
The balance of the savings account after 5 years would be approximately $2671.99. The balance will vary depending on the duration of the investment and the compounding frequency.
In the given scenario, with an initial deposit of $2000 in a savings account that earns an annual interest rate of 6% and no additional deposits or withdrawals, we can calculate the balance of the account after a certain number of years using the compound interest formula. The balance of the account will depend on the duration of the investment.
To calculate the balance of the savings account after a certain number of years, we can use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final account balance, P is the initial deposit, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time period in years.
In this case, the initial deposit is $2000, the annual interest rate is 6%, and no additional deposits or withdrawals are made. However, the number of times the interest is compounded per year is not specified.
If we assume that the interest is compounded annually, we can calculate the balance after a certain number of years by plugging in the values into the compound interest formula.
For example, if we want to calculate the balance after 5 years:
A = $2000(1 + 0.06/1)^(1*5) = $2000(1.06)^5 ≈ $2671.99
Therefore, the balance of the savings account after 5 years would be approximately $2671.99. The balance will vary depending on the duration of the investment and the compounding frequency.
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Please Help me (i will give brainly ) Is the following graph linear, exponential or quadratic?
Answers
Answer:
Exponential Graph
Step-by-step explanation:
The exponential graph of a function represents the exponential function properties.
Another way to known of if the graph's domain is all real numbers
Answer:
Exponential
Step-by-step explanation:
The listed points are :
(0, 27) (1, 9) (2, 3)The y-values are powers of 3 which decrease. Hence, it is exponential.
A store is selling Gatorades for $9 for 15 bottles. How much will it cost if you want to buy 35 Gatorades for your entire class?
Answers
Answer:
$21
Step-by-step explanation:
Use a proportion.
$9 is to 15 bottles as $x is to 35 bottles.
9/15 = x/35
3/5 = x/35
21/35 = x/35
x = 21
Answer: $21
Answer:
$21.00
Step-by-step explanation:
Divide $9 by 15.
The answer is $0.6 for 1 Gatorade.
Multiply $0.6 by 35.
$21.00 for 35 Gatorades.
Hope I helped :)
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on a coordinate plane,point A is located at (7,4), and point B is located at (-8,4). What is the distance between the two points ?
Answers
The distance between the point A and B is 15 units.
How to find the distance between two points?The distance between two points can be found using Pythagoras's principle.
Point A is located at (7,4), and point B is located at (-8,4). Let's find the distance between point A and B as follows:
Therefore,
d = √(y₂ - y₁)² + (x₂ - x₁)²
Hence, using (7, 4) (-8, 4)
x₁ = 7
x₂ = -8
y₁ = 4
y₂ = 4
Hence,
d = √(4 - 4)² + (-8 - 7)²
d = √(0)² + (-15)²
d = √225
d = 15 units
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x·6−14=46
Answer asap!!!! thank you!!
Answers
Answer:
x=10
Step-by-step explanation:
\(6x-14=46\\6x=60\\x=10\)
You only have to answer 7,8 but if you want you can do 9 and 10
Answers
Answer:
#7) x = 3
#8) x = 9
Step-by-step explanation:
# 7
Well AOB + BOC = AOC so...
4x - 1 + 2x + 15 = 8x + 8 (collect like terms)
6x + 14 = 8x + 8 (subtract 8 on each side)
6x + 6 = 8x (subtract 6x on both sides)
6 = 2x (divide by 2 on both sides)
3 = x
#8
COD + BOC = BOD so..
8x + 13 + 3x - 10 = 12x - 6 (collect like terms)
11x + 3 = 12x - 6 (add 6 on both sides)
11x + 9 = 12x (subtract 11x on both sides)
9 = x
Hope this helps!!
Q:11 WILL GIVE BRAINLIEST
A large retailer calculated the average hourly wage of employees over 6 years. The following table shows the years since 2016 and the average hourly wage of an employee at that time.
Years (since 2016) 0 1 2 3 4 5 6
Hourly Wage (in dollars) 9 9.5 10 11 12 13 14
Which of the following representations is most appropriate for showing the change in the average hourly wage each year?
scatter plot with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, and 6 comma 14
line graph with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, 6 comma 14, and line segments connecting each point
scatter plot with the title average hourly wage and the x axis labeled hourly wage in dollars and the y axis labeled years since 2016, with points at 9 comma 0, 9 and a half comma 1, 10 comma 2, 11 comma 3, 12 comma 4, 13 comma 5, and 14 comma 6
line graph with the title average hourly wage and the x axis labeled hourly wage in dollars and the y axis labeled years since 2016, with points at 9 comma 0, 9 and a half comma 1, 10 comma 2, 11 comma 3, 12 comma 4, 13 comma 5, and 14 comma 6, and line segments connecting each point
Answers
The representation which is most appropriate for showing the change in the average hourly wage is: A. scatter plot with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, and 6 comma 14.
How to determine the line of best and change in the average hourly wage each year?In this scenario, the years would be plotted on the x-axis (x-coordinate) of the scatter plot while the hourly wage would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the years and hourly wage, an equation for the line of best fit is given by:
y = 0.8571x + 8.6429
Read more on scatter plot here: brainly.com/question/28605735
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which number comes next in this series 5, 7, 11, 19, 35
Answers
Answer: 67
Step-by-step explanation:
We see a pattern where we multiply the number we added by previously by two.
For example, from 5 to 7, it is 2.
From 7 to 11, we add by 4.
From 11 to 19, we add by 8.
From 19 to 35, we add by 16.
This means the next number would be 32, adding 35 by 32 gives us 67,