Answers
Answer:
see below
Step-by-step explanation:
T+R =25.5
R-T=13.5
add them together
2R =39
R=19.5
T=6
Related Questions
The increasing annual cost (including tuition, room, board, books and fees) to attend college ) to attend college has been widely
discussed in many publications including Money magazine. The following random samples show the annual cost of attending private
and public colleges. Data are in thousands of dollars. Click on the datafile logo to reference the data. Round degrees of freedom to
the preceding whole number.
Private Colleges
52.8
43.2
45.0
33.3
44.0
30.6
45.8
37.8
50.5
42.0
Public Colleges
20.3
22.0
28.2
15.6
24.1
28.5
22.8
25.8
18.5
25.6
14.4
21.8
Develop a 95% confidence interval of the mean annual cost of attending private and public colleges.
Answers
Answer:
ask ur teacher
Step-by-step explanation:
Please help, I am trying to get this question answered.
Answers
Answer: yes the triangles are similar
Step-by-step explanation: a congruent comparison would have the exact same size and shape, similar triangles have the same shape but can be smaller or larger than the original
There are five consecutive odd integers. The sum of the three least integers is 3 more than the sum of the two greatest. Find the integers
Answers
Answer:
11, 13, 15, 17, 19
Step-by-step explanation:
The numbers: (x)+(x+2)+(x+4)+(x+6)+(x+8)
Given: (x)+(x+2)+(x+4) = 3+(x+6)+(x+8) => 3x + 6 = 2x + 17 => x = 11
The integers: 11, 13, 15, 17, 19
Answer:
7, 8, 9, 10 and 11
Step-by-step explanation:
Let:
a = smallest integer
Then the five consecutive integers in ascending order will be:
a, (a + 1), (a + 2), (a + 3), (a + 4)
According to the statement in the question:
a + (a + 1) + (a + 2) = (a + 3) + (a + 4) + 3
3a + 3 = 2a + 10
a = 7
Convert 8.7 x 10^2 ml to liters
Answers
Answer:
1 liter = 1000 mL
8.7 x 10^2 mL = 870 mL
870 mL / 1000 mL = 0.87 liter
hope this helps!!
Classify each polynomial by its degree and number of terms.
Answers
One term is referred to as a polynomial function (where n = 1), a 2 polynomials (when n = 2), and a 3 polynomials (when n = 3) depending on the value. Example: The polynomial is categorized according to the quantity of terms as: Monomial: One phrase, three times.
How are the polynomials categorized in terms of degree and term count?There are three different forms of polynomials, depending on how many terms they contain. Monomial, binomial, and trinomial are the three. A polynomial can be divided into zero polynomial, straight polynomial, cubic polynomial, and cubic polynomial depending on its degree.
How can you tell what degree a phrase is?
The degrees of a component in the polynomials equation is given as a+b if a and b are the proponents of the many variables in a term. For instance, the polynomial contains the equation x2y5, whose degree is 2+5 and hence equals 7.
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Classify each polynomial by its degree and number of terms.
purchased supplies on account for $600.
Answers
The remaining amount in the account is -
$(x - 600).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that supplies are purchased on account for $600.
Assume the total amount in the account is - $x.
So, we can write the remaining amount in the account as -
$(x - 600)
Therefore, the remaining amount in the account is -
$(x - 600).
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Which unit rate corresponds to the proportional relationship shown in the graph?
Answers
The required slope of the graph is 5/4.
What is Slope?The steepness or incline of a line is determined using the slope formula. The slope of the lines is determined using the x and y coordinates of the lines. It is the proportion of the y-change axis's to the x-change. axis's
How to find slope?The slope of a line is a measure of how steep the line is and it is also commonly referred to as the "rise over run". You can find the slope of a line using the following formula:
m = (y2 - y1) / (x2 - x1)
Where m is the slope, (x1, y1) and (x2, y2) are two points on the line. The formula calculates the change in the y-coordinate (the rise) divided by the change in the x-coordinate (the run) between the two points.
According to question:We have,
Two points
(0, 0) and (8, 10)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= (10 - 0)/(8 - 0)
= 10/8
= 5/4
Thus, required sloe is 5/4.
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Find the slope of the line
Answers
Answer:
m = 20
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
Let's pick 2 points (0,5) ( 1 , 25)
The y increase by 20, and the x increase by 1, so the slope is
m = 20
Answer:
The slope is 20.
Step-by-step explanation:
To find the slope of the line, we pick two points on the line and use the slope formula.
m = ( y2-y1)/(x2-x1)
The points I used were ( 0,5) and ( 1,25).
m = ( 25-5)/( 1-0)
= 20/1
= 20
The slope is 20.
Which of the following is a solution on x^2-2x=-8
Answers
=
Choose the correct description of the set {4,8,12,16,...}.
A. {x|x is a multiple of a natural number and -4}
B. {x|x is an odd integer}
C. {x|xEN and x is a multiple of 4 greater than 0}
Answers
The correct description of the set {4,8,12,16,...} is {x|xEN and x is a multiple of 4 greater than 0}.
What is a set?
The way a person always represents a set is as a collection of items or elements with definite boundaries. A set is indicated by a capital letter. The number of items in a finite set is known as the cardinal number of the set.
We are given a set {4,8,12,16,...}
In the given set, we can see that they are all multiples of 4 but not -4.
Also, 4 is not an odd integer.
Therefore, it is a multiple of 4 greater than 0.
Hence, the correct description of the set {4,8,12,16,...} is {x|xEN and x is a multiple of 4 greater than 0}.
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The cost p of making n articles is given by p=x+yn where x and y are constants. The cost of making 7 articles is 29 and the cost of making 5 articles is 21.solve the equations to find the values of x and y
Answers
Answer: The values of x and y are x = 16 and y = 4
Step-by-step explanation:
We can use the information given to set up two equations, as follows:
p = x + 7y = 29 (the cost of making 7 articles)
p = x + 5y = 21 (the cost of making 5 articles)
We can then solve for x and y using either substitution or elimination method.
Substitution method:
Solving the first equation for x:
x = 29 - 7y
Then substitute this value of x into the second equation:
29 - 7y = 21 + 5y
Solving for y:
y = 4
Now we can substitute this value of y back into the first equation:
x = 29 - 7(4) = 5
So the values of x and y are x = 5 and y = 4
elimination method:
Subtracting the second equation from the first:
x = 8 + 2y
Now we can substitute this equation into the first equation:
29 = 8 + 2y + 7y
Solving for y:
y = 4
Now substitute this value of y back into the first equation:
x = 8 + 2(4) = 16
So the values of x and y are x = 16 and y = 4.
Note that both methods give the same solution, but the values of x are different because the two equations are not independent and therefore not the same.
In a sample of size 100 how many observations are below the median? How many are between the median and Q1 (first quartile)? How many are in the IQR? The numbers are listed in the order in which the questions are asked.
Group of answer choices
50, 50, 100
50, 25, 50
50, 75, 25
25, 50, 75
Answers
In a sample of size 100, the median splits the data into two equal parts of 50 observations each. So, 50 observations are below the median and 50 observations are above the median.
The first quartile (Q1) separates the lowest 25% of the data from the rest, so 50 observations are between the median and Q1.
The interquartile range (IQR) is defined as the difference between the third quartile (Q3) and Q1, and represents the range of the middle 50% of the data. Since the IQR contains both Q1 and the median, it encompasses all observations between Q1 and the median,
or a total of 75 observations.
therefore the answer is 25,50,75
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Help pls ________________
Answers
Answer:
Step-by-step explanation:
a) ST
b) SR or RU or RT
c) VW
d) It's 4 units since RU = ST/
In a charity triathlon, Mark ran half the distance and swag a quarter of the distance. When he took a quick break to get a drink of Gatorade, he was just starting to bike the remaining 17 miles. What was the total distance of the race?
Answers
The total distance of the race was 68 miles
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
The total distance can be determined from the fractions.
Consider that d represent the total distance of the race.
The distance running is 1/2d. The distance swimming is 1/4d. The remaining distance is 17 miles.
Thus,
Remaining = total distance - distance running - distance swimming
17 mi = d -1/2d -1/4d = 1/4d
Use known fractions
68 mi = d
The total distance of the race is 68 miles.
This race has a 17-mile swimming segment, that would take a fast swimmer on the order of 8 hours, by itself.
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Let #C(l) denote the number of binary strings with length l that have no consecutive oc- currences of a 1. For example #C(3) 5; we can list all binary strings of length 3 and determine by inspection that only the strings 000, 001, 010, 100, and 101 have no consecutive occurrences of a 1. (a) Compute #C(5). .. Solution: (b) Describe why a brute-force approach used to compute #C(5) above is problematic. Solution: (c) Show that #C(C) = #C(l – 1) + #C(l – 2) for l>
Answers
(a) The value of #C(5) = 13.
(b) In the brute-force method, all binary strings of length n are listed and those that contain consecutive 1s are rejected. So a brute-force approach used to compute #C(5).
(c) Using the Theorem of Induction, we proved that #C(C) = #C(l – 1) + #C(l – 2) for l ≥ 2.
Let #C(l) denote the number of binary strings with length l that have no consecutive occurrences of a 1.
For example #C(3) 5; we can list all binary strings of length 3 and determine by inspection that only the strings 000, 001, 010, 100, and 101 have no consecutive occurrences of a 1.
(a) We have to compute #C(5).
All binary strings with length five include:
00000, 00001, 00010, 00100, 00101, 01000, 01001, 01010, 10000, 10001, 10010, 10100, 10101
Strings that don't have successive 1s in them.
So #C(5) = Total number of binary strings with length five
#C(5) = 13
(b) We have to describe why a brute-force approach used to compute #C(5).
In the brute-force method, all binary strings of length n are listed and those that contain consecutive 1s are rejected. The complexity is at least exponential, thus even for modest values of n (like 40 or 50), it will take a long time to process the number of binary strings of length n = 2n.
(c) We have to show that #C(C) = #C(l – 1) + #C(l – 2) for l ≥ 2 and derive a recursive algorithm to compute #C(C).
No empty string contains two consecutive ones.
So #C(0) = 1,
#C(1) = 2 ( 0 and 1)
Base Case : For l = 2,
#C(2) = |{00, 10, 11}|
#C(2) = 3
#C(2) = #C(1) + #C(0)
Consequently, the recurrence is true, for l = 2.
Number of strings with the character 0 = 2 = #C (1)
Theorem of Induction
Assume that the recurrence holds for every l < k and the quantity of strings with 0 = #C(l-1)
Induction Step :
For l = k+1,
#C(k+1): Only those strings of length k that do not include consecutive 1s will be the first string in such strings. These strings will never result in consecutive 1s when a 0 is added.
Thus, the number of strings that end in 0 = #C(k)
Only strings of length k that finish in 0 can be added to.
The number of such strings, by induction = #C(k-1)
Hence, #C(k+1) = #C(k) + #C(k-1)
Recursive Algorithm:
NoCon1(n)
{
1. if n < 0 : return 0
2. if n == 0 : return 1
3. if n==1 : return 2
4. return NoCon1(n-1) + NoCon1(n-2);
}
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A company estimates that 0.9% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $450. If they offer a 2 year extended warranty for $27, what is the company's expected value of each warranty sold? $
Answers
Answer:
The expected value of each extended warranty sold by the company is $19.05. This is calculated by taking the 0.9% failure rate after the original warranty period (0.009) multiplied by the replacement cost of $450, which gives an expected cost of $4.05. Then, subtract the cost of the extended warranty ($27) to get an expected value of $19.05 per warranty sold.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Place theindicated product in the proper location on the grid.
(2a²b) 4
Answers
The simplified exponential notation of the given expression is 9a²b
What is an exponential expression?
An expression in the form of a² is called exponential expression.
The simplified exponential notation of the given expression is 18 * a³ b² / 2ab
The given expression is: 18a³b² / 2ab
We can write the above expression as:
(18/2 ) (a³ / a ) (b² / b )
We know that
aˣ / aⁿ= aˣ⁻ⁿ
a³ / a = a³⁻¹ = a²
b² / b = b²⁻¹= b
So, ( 18/2) ( a³/a) (b²/ b) = 9 a²b
Hence, The simplified exponential notation of the given expression is 9a²b
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is defined as research that collects information using any kind of numeric and measurable scale and often has limited response options
Answers
Quantitative research is a form of qualitative research that focuses on gathering and evaluating data that can be measured and quantified. This study style use numerical data and statistical approaches to uncover patterns, correlations, and trends in data.
Data is frequently collected through surveys, questionnaires, or standardised tests, and the findings are generally evaluated using statistical software. Response options in quantitative research are frequently constrained and organised, with participants picking from a pre-determined range of answers.
The goal of quantitative research is to produce data that is trustworthy, valid, and generalizable to a broader population. Based on the data acquired, this form of study is frequently used to test hypotheses.
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A metallurgist has one alloy containing 35% titanium and another containing 69% titanium. How many pounds of each alloy must he use to make 53 pounds of a third alloy containing 40% titanium?
Answers
Answer:
Let x be the amount of alloy 1 used, and y be the amount of alloy 2 used.
We know that:
x + y = 53 (total weight of alloy 3 is 53 pounds)
0.35x + 0.69y = 0.40(53) (40% of the alloy 3 is titanium)
We can use the first equation to solve for one of the variables in terms of the other:
y = 53 - x
Substitute this expression into the second equation:
0.35x + 0.69(53-x) = 0.40(53)
0.35x + 36.97 - 0.69x = 21.2
-0.34x = -15.77
x = 46.44 pounds of alloy 1.
y = 53 - x = 6.56 pounds of alloy 2.
How many solutions does the following system of equations have?
Answers
There are zero number of solutions the system of equations have.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=5/2x+2 ------(I) and 2y=5x+8 ------(II)
Substitute equation (I) in (II), we get
2(5/2x+2)=5x+8
5x+4=5x+8
5x-5x=8-4
Therefore, there are zero number of solutions the system of equations have.
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"Your question is incomplete, probably the complete question/missing part is:"
How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8
I need the answer quick plse help fast!
Answers
An equation for how much Ann's gym charges for x visits in a one month is y = 20x + 5.
An equation for how much Blake's gym charges for x visits in a one month is y = 20x + 5.
A solution to this system of equations is the ordered pair (0.2, 9).
How to write the required equations?In order to write an equation that model this situation, we would assign variables to the cost charged by Ann's gym and the cost charged by Blake's gym respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of visit in a month.Let the variable y represent the cost charged by Blake's gym.For the cost charged by Ann's gym, we have the following equation:
y = 20x + 5.
For the cost charged by Blake's gym, we have the following equation:
y = 30x + 3.
In this exercise, we would use an online graphing calculator to plot the given system of equations in order to determine the solution as shown in the image attached below.
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Find 16/21 divided by 4/3 show your reasoning
Answers
Answer: 4/7
Step-by-step explanation:
(16/21)/(4/3) = (16/21)*(3/4) = (16*3)/(21*4) = 48/84 = 4/7
When the project is considered complete? a- BAC is equal to the PV.
b- The EV is equal to the AC.
c- The PV is equal to the AC.
d- The BAC is equal to the EV.
Answers
The project is considered to be complete when the EV is equal to the AC. So option b is correct.
When a project is considered complete, it means that the total amount of work that was planned to be done (referred to as the Budget at Completion or BAC) has actually been completed and the amount spent on completing the work so far EV is equal to the BAC.
In project management, Earned Value (EV) and Actual Cost (AC) are two key measurements used to quantify the exhibition of a project.
Earned Value (EV) addresses the arranged value of the work that has been finished. It is calculated by multiplying the arranged completion rate by the Budget at Completion (BAC).
Actual Cost (AC) addresses the actual measure of cash spent on the project in a limited way of time. It is the amount of the multitude of costs caused for the finished work and the work underway.
At the point when the Earned Value (EV) is equivalent to the Actual Cost (AC), it implies that all the arranged work has been finished and all the budget has been spent.
This is a decent indication that the project is on target and is probably going to be finished within the arranged budget.
Thus, when the Earned Value (EV) is equivalent to the Actual Cost (AC), the project is thought of as complete.
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The graph of f passes through (- 8, 8) and is perpendicular to the line that has an x- intercept of 1 and a y-intercept of - 2
Answers
Equation of graph of f is : y = (-1/2)x + 4
What is line?A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.
Given,
The graph of f passes through (- 8, 8)
Line that has
x- intercept a = 1
y-intercept b = - 2.
Intercept equation of the line
x/a + y/b = 1
x/1 + y/-2 = 1
x - y/2 = 1
-y/2 = 1-x
y = 2x - 2
Comparing it with slope intercept equation of the line y = mx + c
slope m = 2
Product of slopes of two perpendicular lines = -1
If m' is the slope of its perpendicular
then m.m' = -1
2.m' = -1
m' = -1/2
Equation of the line
y - y₁ = m'(x - x₁)
Graph of f passes through (-8, 8) and is perpendicular to line y = 2x - 2
y -8 = (-1/2)(x - -8)
y - 8 = (-1/2)(x+8)
y - 8 = (-1/2)x - 4
y = (-1/2)x + 4
Hence, y = (-1/2)x + 4 is the equation graph of f.
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Solve for x: −7 < x − 1 < 8
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
Answers
To solve this inequality, you can add 1 to both sides of the inequality to get:
−7 + 1 < x − 1 + 1 < 8 + 1
-6 < x < 9
This inequality is a compound inequality, which is made up of two separate inequalities joined by the word "and".
g what is the marginal distribution of y ? look up the formula of var(y ) from the book and verify that your answer to part (6) is correct.
Answers
There is also a marginal distribution of Y .The marginal p.m.f. is symbolized fY and is calculated by summing over all the possible values of X : fY(y)def=P(Y=y)=∑xf(x,y).
Now, According to the question:
Marginal Distribution:If X and Y are discrete random variables and f (x,y) is the value of
their joint probability distribution at (x,y), the functions given by:
g(x) = Σy f (x,y) and h(y) = Σx f (x,y) are the marginal distributions of X and Y , respectively (Σ = summation notation).
A marginal distribution is a distribution of values for one variable that ignores a more extensive set of related variables in a dataset.
A marginal distribution is the percentages out of totals, and conditional distribution is the percentages out of some column. UPD: Marginal distribution is the probability distribution of the sums of rows or columns expressed as percentages out of grand total.
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A football field is 109 1/10 meters long the same field is 48 1/2 meters wide what is the diffrence between the width and length.
Answers
109 1/10 meters - 48 1/2 meters = 60 5/10 meters
So the difference between the width and length of the field is 60 5/10 meters
Please help me with this question.
Answers
Answer:
The student's GPA is 3.06
This student did not make the dean's list because their GPA is less than 3.20
(I can't see the drop down choices - I am using my own words)
Step-by-step explanation:
The process of computing the overall GPA based on letter grades with quality points and the number of credit hours for each course is as follows:
Multiply the point value of the letter grade by the number of credit hours. The result is the quality points earned.Total the credit hours for the term.Total the quality points for the term.Divide the total quality points by the total credit hours.The result is the G.P.A. for the term.We have the following data
Course Letter Quality Credit Points x Credit Hours
Grade Points Hours
-----------------------------------------------------------------------------------------------
1 A 4 5 4 x 5 = 20
2 C 2 3 2 x 3 = 6
3 B 3 5 3 x 5 = 15
4 A 4 3 4 x 3 = 12
5 D 1 2 1 x 2 = 2
------------------------------------------------------------------------------------------------
Totals 18 55
-----------------------------------------------------------------------------------------------
Overall GPA = 55/18 = 3.06
Since the minimum GPA to make the dean's list is 3.20 and 3.06 is less than 3.20, the student did not make the dean's list
The equation 1 – 4∕3x = 1∕2(–x + 7) has what type of solution set?
Question 14 options:
A)
One solution
B)
Infinitely many solutions
C)
Two solutions
D)
No solutions
Answers
The linear equation:
1 - (4/3)x = (1/2)*(-x + 7)
Has one solution.
Which type of solution set the equation has?So here we have a linear equation:
1 - (4/3)x = (1/2)*(-x + 7)
To solve it, let's isolate the variable x.
1 - (4/3)*x = -(1/2)*x + (1/2)*7
-(4/3)*x + (1/2)*x = 3.5 - 1
-(8/6)*x + (3/6)*x = 2.5
(-5/6)*x = 2.5
x = (-6/5)*2.5
x = 3
So the linear equation has a single solution, thus, the correct option is A.
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find(-3) if f(x)=6x-8
Answers
Given:-
[tex] \: [/tex]
[tex] \rm \: f(x) = 6x - 8 \: ... eqⁿ[/tex][tex] \: [/tex]
To find:-
[tex] \: [/tex]
[tex] \rm \: {f ( -3 ) = ?}[/tex][tex] \: [/tex]
Solution:-
[tex] \: [/tex]
[tex] \rm \: f(x) = 6x - 8[/tex][tex] \: [/tex]
now , put the value of x= -3 in given eqⁿ ∼
[tex] \: [/tex]
[tex] \rm \: f( - 3) = 6( - 3) - 8[/tex][tex] \: [/tex]
[tex]\rm \: f( - 3) = - 18 - 8 [/tex][tex] \: [/tex]
[tex] \underline{ \boxed{\rm \orange{f( - 3) = -26}}}[/tex][tex] \: [/tex]
hope it helps! :)
