The formatting instructions require you to type the correct name with correct section number right justified on the page. And also center the phrase "Data Analysis Assignment #3" before starting the solutions.
The instructions for STAT 250 Spring 2021 Data Analysis Assignment 3 require you to include certain items in your solutions document. One of these items is to type your Name and STAT 250 with your correct section number, such as STAT 250-xxx, right justified on the top of the page. Additionally, you need to center the phrase "Data Analysis Assignment #3" below your name to start your solutions document.
It is important to follow these formatting instructions because they help ensure that your solutions document is organized and easy to read. By including your name and section number, your instructor can easily identify your work and ensure that you receive credit for your assignment. Centering the assignment title also helps to emphasize the focus of your work and make it clear what you are analyzing.
Remember that failure to include these required items may result in point deductions, so it is important to carefully read and follow all of the instructions for each assignment. By taking the time to properly format your solutions document, you can increase your chances of earning a high grade and demonstrating your mastery of the course material.
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You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation:
in class, michael and kayla were working together on the following problem in class: find sx 3√3 −2x dx. (a) kayla says, "u should be (3 −2x) because i always pick the most inside factor of a function as my u." i. will kayla’s substitution work in this case? explain your reasoning. ii. does kayla’s idea work for all u-substitutions (if it does explain, if not give an example were it does not)? (b) michael says the u should be 3√3 −2x because i always pick the most complicated factor of a function as my u." i. will michael’s substitution work in this case? explain your reasoning. ii. does michael’s idea for all u-substitutions (if it does explain, if not give an example were it does not)?
a. If we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.
b. Michael's substitution satisfies the requirement for u to be differentiable.
(a) i. Kayla's proposed substitution of u as (3 - 2x) will not work in this case. The reason is that when using the u-substitution method, it is necessary for the chosen u to be differentiable, meaning that its derivative du/dx should exist and be non-zero. However, if we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.
ii. Kayla's idea of always picking the most inside factor as u does not work for all u-substitutions. There can be cases where choosing the most inside factor may not lead to a valid substitution that simplifies the problem or makes integration easier. It is important to consider the properties of the function and choose a suitable substitution accordingly.
(b) i. Michael's proposed substitution of u as 3√3 - 2x will work in this case. If we let u = 3√3 - 2x, then the derivative du/dx would be -2, which is non-zero. Therefore, Michael's substitution satisfies the requirement for u to be differentiable.
ii. Michael's idea of always picking the most complicated factor as u also does not hold true for all u-substitutions. The choice of u depends on various factors, including the structure of the function, simplification possibilities, and making the integration process more manageable. It is not necessarily the case that the most complex factor will always result in a successful substitution.
It is important to consider the specific characteristics of the function and apply appropriate judgment in choosing the substitution u to simplify the problem effectively.
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what is the answer to $20 - $11.98=
Answer:
$8.02
Step-by-step explanation:
20.00 - 11.98 = 8.02
(01.01 LC)Which two charges have a sum of 0?
+6 charge and +6 charge
0-6 charge and -6 charge
+6 charge and 0 charge
+6 charge and -6 charge
Divide. Using either synthetic division or long division(2x^3+ 13x^2- 27x - 19) ÷ (x+8)
Given the expression:
\(\mleft(2x^3+13x^2-27x-19\mright)\div(x+8)\)We use synthetic division to obtain our result:
Thus, we conclude that:
\(\frac{2x^3+13x^2-27x-19}{x+8}=2x^2-3x-3+\frac{5}{x+8}\)Your club has been asked to contribute to a service project benefiting a local charitable organization. You plan to buy a combination of $5 and $10 gift cards to donate. You plan to buy exactly 20 gift cards and want to spend between $150 and $160. What are the possible combinations of $5 and $10 gift cards your club can purchase? (Write a compound inequality in one variable to solve this problem).
Answer:
the possible combinations of $5 and $10 gift cards your club can purchase are :
eight $5 gift cards and twelve $10 gift cards
nine $5 gift cards and eleven $10 gift cards
or ten each of $5 gift cards and $10 gift cards
Step-by-step explanation:
From the information given:
You plan to buy a combination of $5 and $10 gift cards
You plan to buy exactly 20 gift cards and want to spend between $150 and $160.
The objective is to determine the possible combinations of $5 and $10 gift cards your club can purchase?
Let assume the g is the number of the $5 gift cards bought;
then (20 - g) will be the number of the $10 gift card bought.
Thus; the compound inequality for the amount spent between $150 and $160 will be:
= 150 ≤ 5g + 10(20 - g) ≤ 160
= 150 ≤ 5g + 200 - 10g ≤ 160
= 150 ≤ 5g -10 g + 200 ≤ 160
= 150 ≤ -5g + 200 ≤ 160
= 150-200 ≤ -5g ≤ 160 -200
= -50 ≤ -5g ≤ -40
Divide through by -5
= 10 ≥ g ≥ 8
= 8 ≤ g ≤ 10
Thus; the possible combinations of $5 and $10 gift cards your club can purchase are :
eight $5 gift cards and twelve $10 gift cards = i.e 8 ×$5 + 12 ×$10
= $40+$120
=$160
nine $5 gift cards and eleven $10 gift cards
= 9 ×$5 + 11 ×$10
= $45 + $110
= $155
or ten each of $5 gift cards and $10 gift cards
= 10 ×$5 + 10 ×$10
= $50 + $100
= $150
These combinations falls in between the range of $150 and $160.
What is the reference angle for 7pi/6?
A. pi/6
B. pi/4
C. pi/3
D. 5pi/6
E. pi
Answer:
pi/6
got it right on plato
Section 2
Go over the bank statement and answer the questions in detail. Use information from the statement to
support your answers.
Bank of Cascadia
Date
Pending
03/16
03/12
03/08
03/02
03/02
Description
Lucky Cat Fresh Ground Coffee
Car payment
Valkyrie Online Shopping
Southern Cascade Groceries
German Motors Garage
Chuck's Gas and Go
Total credit line: $3,000.00
Payment Due Date
Statement Balance
$ Amount
3.41
225.00
55.67
116.43
320.06
36.21
08/05
$756.37
Balance
756.78
753.37
528.37
472.70
356.27
36.21
Total credit available: $2,246.63
1. This bank statement is most likely for what kind of account? Provide at least two pieces of evidence from the statement that explain why. (2 points)
2. How much more can the owner of this account spend ? How do you know ? (1 point)
3. The owner of this account needs to make a $5,000 medical payment and doesn’t have enough in his or her other accounts. Describe at least one option available to the owner. (1 point)
4. What will be at least two consequences of letting the date, August 5, pass without making any payments ? (1 points)
This particular bank statement is likely assigned to a credit card account owing to the given credit line and statement balance of $3,000.00 and $756.37 respectively.
What is the extra amount the owner can spend?Thereby allowing the account holder to utilize an unused credit provision of $2,246.63 available for expenditures.
Should the owner need to settle a medical payment amounting to $5,000, an increase in the credit limit could be requested as one option.
But if this due date passes, on August 5th, they may face potential penalty charges such as late fees, interest fees, or even cause harm to their credit score.
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The largest numbers that can be divided by (without a remainder) both the numbers being compared (can be 1, can't be bigger than either number) is called the ______.
Answer:
GCF, Greatest Common Factor
Step-by-step explanation:
Hope this helped
Rewrite the inequality into slope Intercept form.
6x-2y>-2
PLEASE PLEASE PLEASE HELP!!!
Answer:
I think it's y < 3x +1
Step-by-step explanation:
subtract 6x to the right side. that's -2y > -6x - 2. then divide -2 out of y, now you have to flip the sign. Now you have y < 3x + 1
Answer:
The inequality into slope Intercept form is:
\(y<3x+1\)Step-by-step explanation:
We know that the slope-intercept form of a linear function is
\(y = mx+b\)
where
m is the slope b is the y-interceptGiven the inequality
\(6x-2y>\:-2\)
subtract 6x from both sides
\(6x-2y-6x>-2-6x\)
Simplify
\(-2y>-2-6x\)
Multiply both sides by -1 (reverses the inequality)
\(\left(-2y\right)\left(-1\right)<-2\left(-1\right)-6x\left(-1\right)\)
Simplify
\(2y<2+6x\)
Divide both sides by 2
\(\frac{2y}{2}<\frac{2}{2}+\frac{6x}{2}\)
\(y<3x+1\)
Therefore, the inequality into slope Intercept form is:
\(y<3x+1\)What function is graphed below?
A. Y= -4x^4
B. Y= 4x^4
C. Y= -5x^5
D. Y=5x^5
The function of the given graph is y = 5x⁵. The graph of a polynomial function shows the given behavior if the power is the odd value(n = 5).
What is the general form of a graph with a polynomial function?The general form of a graph with a polynomial function is y = aₙxⁿ. Where 'n is odd'
If aₙ > 0; then the behavior of the graph on the left and right sides are given by \(\lim_{x \to -\infty} f(x) =-\infty\) and \(\lim_{x \to \infty} f(x) =\infty\) respectively.
If aₙ < 0; then the behavior of the graph on the left and right sides are given by \(\lim_{x \to -\infty} f(x) =\infty\) and \(\lim_{x \to \infty} f(x) =-\infty\) respectively.
Calculation:From the given graph's behavior,
Left side: \(\lim_{x \to -\infty} f(x) =-\infty\) and
Right side: \(\lim_{x \to \infty} f(x) =\infty\)
So, the coefficient aₙ is aₙ > 0. So, it may be 4 and 5.
Since the power of the variable x is n is odd, the equation of the given graph is y = 5x⁵.
So, option 4 is correct.
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Help I need this done today !!!!
Answer:
c
Step-by-step explanation:
To find the maximum point, differentiate:
D' = -8p +160
Set to zero and solve for p:
D' = 0
⇒ -8p +160 = 0
⇒ 8p = 160
⇒ p = 20
Input p = 20 into the original equation to find D:
D = -4(20)² + 160(20) -310 = 1290
Therefore, the price is $20 and the maximum number of drills is 1,290
Answer:
C
Step-by-step explanation:
Causes of variation that can be identified and eliminated are called what?
The causes of variation that can be identified and eliminated are called; Assignable Causes.
What are the causes of Variation?There are two primary causes of variation in the quality of a product or process. These two primary causes are called;
Common causes.Assignable causes.Now, Common causes of variation are defined as random causes that we cannot identify. However, Assignable causes of variation are those that can be identified and eliminated.
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Which statement best explains if the graph correctly represents the proportional relationship y = 0.5x? (4 points) A coordinate plane is shown. Points are graphed at 1 comma 0.5 and 4 comma 2. The points are joined by a line.
The correct statement is (A) the points on the line would indeed be a part of the equation y = 0.5x.
What are proportional relationships?Relationships between two variables that are proportional occur when their ratios are equal.
Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value.
The "constant of proportionality" is the name of this constant.
Observing the graph, the line traverses (0, 0). We obtain y=0.5(0)=0 if x=0.
Since this is the point's y-coordinate, it passes through this.
Y=mx+b, where m is the slope and b is the y-intercept, is the slope-intercept form equation for this line.
m=0.5 and b=0 in this equation.
This indicates that the slope is 0.5 or 1/2; as slope = rise/run, this indicates that the line rises one for every increase in the horizontal dimension of two.
This implies that starting from (0, 0), we would climb 1 and cross 2 to make the spot (2, 1).
When examining the graph, the line passes through this location.
We would then ascend 1 and cross over 2 once more to (4, 2). Once more, the line passes through this spot.
Therefore, the correct statement is (A) the points on the line would indeed be a part of the equation y = 0.5x.
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Complete question:
Which statement best explains if the graph correctly represents the proportional relationship y = 0.5x?
A. Yes, the points shown on the line would be part of y = 0.5x
B. Yes, all proportions can be shown on a graph of this line
C. No, the points shown would not be part of y = 0.5x
D. No, proportions cannot be represented on a graph
Find 0.3% of 60.
help pleaseee
0.3 percent of 60 is 0.18.
To find 0.3 % of 60, we can convert 0.3 % to decimal form by dividing it by 100: 0.3 ÷ 100 = 0.003.
Next, we multiply 0.003 by 60 to calculate the desired percentage:
0.003 * 60 = 0.18.
Therefore, 0.3% of 60 is 0.18. This means that if we take 0.3% (0.003) of the value 60, the result is 0.18. It can also be interpreted as 0.18 being 0.3% of 60. By converting the percentage to decimal form and multiplying it by the given value, we obtain the corresponding portion or fraction of the whole.
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how do you calculate the total percentage of income for taxes
Answer:
I think you are supposed to Divide taxes based off net profit to calculate the effective tax percentage.Step-by-step explanation:
In the example, $35,000 divided by $100,000 equals an effective tax rate of 0.35 or 35 percent.
hope this helps! :)
(i don't know if this is 100% correct just so you know)
7. Find the coordinates of a point on a circle with radius 20 corresponding to an angle of \( 305^{\circ} \)
Given that a circle with radius 20 has a corresponding angle of 305°.
To find the coordinates of a point on the circle, we use the formula:`(r cos (θ), r sin (θ))`Here, `r = 20` and `θ = 305°`.
Substituting the values of `r` and `θ` in the formula, we get:`(20 cos (305°), 20 sin (305°))`
Using the values of trigonometric ratios, we can write:cos(305°) = cos(360° - 305°) = cos(55°) ≈ -0.5736sin(305°) = sin(360° - 305°) = sin(55°) ≈ 0.8192
Hence, the coordinates of a point on a circle with radius 20 corresponding to an angle of 305° are approximately `(-11.47, 16.38)`.
The coordinates of a point on a circle with radius 20 corresponding to an angle of 305° are approximately `(-11.47, 16.38)`
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consider the triangle graphed below. classify it by its angles
A) acute
B) obtuse
C)equiangular
D)right
yall got any game ideas? i aint got tha energy to be doin school work, tell em to me :)
Answer:
Games to make? or play? If play then I suggest age of empires 2 DE, the games insane
Step-by-step explanation:
picture below please help
Answer:
60 mph
Step-by-step explanation:
If you divide 300/5 you get 60.
hope this helps.
John is doing a fundraiser for school. He needs to sell at least $200 worth of items. John is selling shirts for $10 each and hats for $8 each. He must sell more than 12 hats. \ a) Write the system of inequalities that model this situation. Let x represent how many shirts he sells and y represent how many hats he sells.
Answer:
10x + 8y = $200
Where y > 12
Step-by-step explanation:
Let x represent how many shirts he sells
y represent how many hats he sells.
John is doing a fundraiser for school. He needs to sell at least $200 worth of items. John is selling shirts for $10 each and hats for $8 each.
He must sell more than 12 hats.
y > 12
$10 × x + $8×y = $200
10x + 8y = $200
Where y > 12
The system of inequalities that model this situation is :
10x + 8y = $200
Where y > 12
If 5x + y = 20 and 10x - 2y = 50 are two linear equations in two variables. Find the value of x and y.
x = 1, y = 1
x = 2, y = 1/2
x = 9/2, y = -5/2
x = 1, y = 5/2
Answer:
x = 9/2, y = -5/2
Step-by-step explanation:
5x + y = 20
10x - 2y = 50
There's multiple ways to do this, but I will solve using substitution.
Isolate variable y on the first equation.
5x + y = 20
y = 20 - 5x
Substitute the value of y for 20 - 5x in the second equation.
10x - 2(20 - 5x) = 50
Use distributive property:
10x - 40 + 10x = 50
Combine like terms:
20x - 40 = 50
20x = 90
x = 90/20
x = 9/2
Substitute x for 9/2 and solve for y:
y = 20 - 5(9/2)
y = 20 - 45/2
y = 40/2 - 45/2
y = -5/2
Answer:
x =9/2, y = -5/2
Step-by-step explanation:
5(9/2) + -(5/2)= 20
45/2 + -5/2 = 20
40/2 = 20
10(9/2) - 2(-5/2) = 50
90/2 + 10/2 = 50
45 + 5 = 50
At a football stadium, 4% of the fans in attendance were teenagers. If there were 120 teenagers at the football stadium, what was the total number of people at the stadium?
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
\(\sqrt{53}\) = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
\(7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3\)
PLS HELP ASAP 100 POINTS
Find the measure of ∠YOZ by answering the questions.
1. Find the measure of ∠WOV. Which angle relationship did you use? (3 points)
2. Now find the measure of ∠YOZ. Which angle relationship did you use?
3. Check your answer by using another strategy to find the measure of ∠YOZ. Describe your strategy, and show that it gives the same measure for ∠YOZ. (4 points)
The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)
How to explain the angleThe measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles
Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°
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Suppose that three independent random variables each with n observations were recorded.
Let xij be the jth observation of the ith random variable, where i = 1, 2, 3 and j=1, 2,..., n. Suppose the expected values of the first, second and third random variables are given by
The given scenario describes three independent random variables with n observations each, denoted as xij, where i = 1, 2, 3 and j = 1, 2, ..., n. The expected values of these variables are provided.
In this scenario, we have three random variables, each with n observations. The variable xij represents the jth observation of the ith random variable. For example, x11 would be the first observation of the first random variable, x12 would be the second observation of the first random variable, and so on.
The expected value of a random variable is a measure of its central tendency and represents the average value we would expect to obtain if we were to repeat the experiment many times. In this case, the expected values of the first, second, and third random variables are given, although the specific values are not provided in the question.
Having the expected values allows us to gain insights into the behavior of the random variables. We can compare the observed values of the variables with their respective expected values to assess deviations or patterns. By examining the differences between the observed values and the expected values, we can make inferences about the variables' distributions and identify any relationships between them.
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helpppppppppppppppppp
Answer:
C
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
The interior angle at 150° = 360° - 150° = 210°
sum the angles and equate to 360
25 + 30 + 210 + x = 360 , that is
265 + x = 360 ( subtract 265 from both sides )
x = 95 → C
Indira buys a television in a sale for $924. This was a reduction of 12% on the original price. Calculate the original price of the television
( 100 / 88 ) * 924 = original price
( 100 / 88 ) * 924 = $1050
Given the coordinates of the endpoints of line segment GH as the following, G(4, 10)
and H(–2, –6).
Mohamed was trying to find the coordinates of the midpoint of line segment GH.
Below is his answer, check whether he is correct or not, if not, spot his mistakes.
Mohamed’s Answer:
The formula of the midpoint is: M = x1+ x22, y1+ y22
M = 4 +(-2)2, 10 + 62
M = (1, 8)
Answer:
(-1,-2)
Step-by-step explanation:
The given coordinates are ,
G ( 4 , 10)H ( -2 , -6)Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,
→ Midpoint = ( 4-2/2 , 10-6/2)
→ Midpoint = ( -2/2 , -4/2 )
→ Midpoint = ( - 1 , -2)
Hence the midpoint is (-1,-2) .hi! im quite confused on this. can someone please help me? ill give brainiest if youre correct :)
Answer:
I believe the answer is D
Step-by-step explanation:
after 3 hours it traveled 120 miles so divide that by the 3 hours and it gives you 40 miles per hour giving you the slope and the y int would be negative 300 because he started 300 miles aways from Denver
Answer:
The answer seems to be D
Step-by-step explanation:
I cannot really confirm but I am most certain it is D.