Answer:
(x +8) (x - 3)
Step-by-step explanation:
Hope it helps you in your learning process.
if 40% is converted to fraction and decimal it would be listed as
A. 1/4. 0.4. 40%
B. 4/10 0.04. 40%
C. 4/10. 0.4. 40%
D. 1/4. 0.04. 40%
Discuss the measurement scale of ordinal and ratio,
clearly outlining numerical operations and descriptive statistics
for each (7 Marks)
Ordinal and ratio scales are two different measurement scales used in statistics. The ordinal scale represents data with a rank order, while the ratio scale includes a true zero point.
Numerical operations and descriptive statistics differ for each scale. For ordinal data, only non-parametric tests can be applied, and the most common descriptive statistic is the median. Ratio data, on the other hand, allows for a wide range of numerical operations, including addition, subtraction, multiplication, and division. Descriptive statistics for ratio data include measures such as mean, median, mode, range, and standard deviation.
The ordinal scale represents data with a rank order or hierarchy, where the values have a meaningful order but the differences between them may not be equal. Common examples of ordinal data include rankings, ratings, and Likert scale responses. Numerical operations such as addition and subtraction are not applicable to ordinal data since the differences between the ranks are not known. Therefore, only non-parametric tests, such as the Mann-Whitney U test or the Wilcoxon signed-rank test, can be used for analysis. The most appropriate descriptive statistic for ordinal data is the median, which represents the middle value in the ordered data set.
On the other hand, the ratio scale includes a true zero point, and the differences between values are meaningful and equal. Examples of ratio data include height, weight, time, and temperature measured on the Kelvin scale. Ratio data allow for a wide range of numerical operations, including addition, subtraction, multiplication, and division. Descriptive statistics commonly used for ratio data include measures such as the mean, which calculates the average of the data set, the median, which represents the middle value, the mode, which identifies the most frequently occurring value, the range, which shows the difference between the maximum and minimum values, and the standard deviation, which measures the variability of the data around the mean.
In summary, ordinal and ratio scales represent different levels of measurement in statistics. Ordinal data can only be analyzed using non-parametric tests, and the median is the most appropriate descriptive statistic. Ratio data, on the other hand, allow for a wider range of numerical operations and various descriptive statistics, including mean, median, mode, range, and standard deviation. Understanding the measurement scale of data is crucial for selecting appropriate statistical techniques and interpreting the results accurately.
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which one is the correct lp formulation of the problem? max 400x1 300x2 360x3 200x4 s.t. 4x1 2x2 3x3 x4 ≤ 8 x1, x2, x3, x4 ϵ{0,1}
The correct linear programming (LP) formulation of the problem is: Maximize: 400x1 + 300x2 + 360x3 + 200x4
Subject to: 4x1 + 2x2 + 3x3 + x4 ≤ 8
x1, x2, x3, x4 ϵ {0,1}
The correct LP formulation of the problem is: max 400x1 + 300x2 + 360x3 + 200x4
s.t. 4x1 + 2x2 + 3x3 + x4 ≤ 8
x1, x2, x3, x4 ϵ{0,1}
This formulation includes the objective function, which is to maximize the sum of 400x1, 300x2, 360x3, and 200x4. It also includes the constraints, which are that the sum of 4x1, 2x2, 3x3, and x4 must be less than or equal to 8, and that x1, x2, x3, and x4 can only take on the values of 0 or 1. By including these constraints, we ensure that the solution will meet the requirements of the problem.
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i need help with the answers
Answer:
1.A
2.C
3.D
4.B
5.C
6.A
How many kilometers 1 Mach?
Answer:
Step-by-step explanation:
Mach Kilometers per hour
1 Mach 1225.04 kph
1 mach is 1225.04 kph ......
A rental car agency has 60 vehicles on its lot- 22 are suvs, and 38 are sedans. 18 of those 60 vehicles are blue; the rest are red. 14 of the suvs are red. The rental agency chooses a single vehicle for you at random. To three decimal places, find the probability that: a) you got a red sedan. b) you got a blue suv. C) you got an suv given that you know it is red
a) The probability of getting a red sedan is approximately 0.333 or 33.3%.
Explanation:
Probability of getting a red sedan:
Out of the 60 vehicles, there are 38 sedans, and we know that the rest are red. So, the number of red sedans is 38 - 18 = 20.
The probability of getting a red sedan is the ratio of the number of red sedans to the total number of vehicles:
P(red sedan) = 20/60 = 1/3 ≈ 0.333
Therefore, the probability of getting a red sedan is approximately 0.333 or 33.3%.
b) The probability of getting a blue SUV is 0.3 or 30%.
Explanation:
Probability of getting a blue SUV:
Out of the 60 vehicles, there are 22 SUVs, and we know that 18 of them are blue.
The probability of getting a blue SUV is the ratio of the number of blue SUVs to the total number of vehicles:
P(blue SUV) = 18/60 = 3/10 = 0.3
Therefore, the probability of getting a blue SUV is 0.3 or 30%.
c) The probability of getting an SUV given that it is red is approximately 0.778 or 77.8%.
Explanation:
Probability of getting an SUV given that it is red:
Out of the 60 vehicles, we know that 14 of the SUVs are red.
The probability of getting an SUV given that it is red is the ratio of the number of red SUVs to the total number of red vehicles:
P(SUV | red) = 14/18 ≈ 0.778
Therefore, the probability of getting an SUV given that it is red is approximately 0.778 or 77.8%.
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Which of the following is equivalent to - tan(-)?A. tanOB. tan(-4)OC. tan 5OD. - tanReset Selection
SOLUTION
\(-tan(-\frac{\pi}{6})\)\(\begin{gathered} Recall\text{ that tan\lparen-x\rparen=-tanx} \\ -tan(-\frac{\pi}{6})=-\times-tan(\frac{\pi}{6})=tan(\frac{\pi}{6}) \end{gathered}\)Final answer;
A line segment has endpoints (0,4) and (5,6).
What are the coordinates of the midpoint?
A. (5/2, -5)
B.(0,6)
C. (3,9)
D. (5/2, 5)
Answer:
D.
Step-by-step explanation:
because if its 0.6 then the line segment of 0.4 divided by 5.6 is you're mom
Find the change in profit P for the given marginal. Assume that the number of units x increases by 5 from the specified value of x. (Round your answer to two decimal places.) Marginal Number of Units, x dP dx = 12.1 60 − 3 x x = 121
The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50
To find the change in profit (ΔP) when the number of units (Δx) increases by 5.
we need to evaluate the marginal profit function and multiply it by Δx.
The marginal profit function is given by dP/dx = 12.1(60 - 3x).
We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.
dP/dx = 12.1(60 - 3(121))
= 12.1(60 - 363)
= 12.1(-303)
= -3666.3
Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.
ΔP = dP/dx×Δx
= -3666.3 × 5
= -18331.5
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The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.
Where are the zeros of the function?
______and______
Are both zeros meaningful and why?
At what height is the ball thrown?
9514 1404 393
Answer:
zeros: t = 1, t = -1/2no: the domain of the function is t ≥ 08 feetStep-by-step explanation:
The zeros are the values of t that make the factors zero.
1 -t = 0 ⇒ t = 1
8 +16t = 0 ⇒ t = -8/16 = -1/2
The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.
Only the positive zero is in the function's domain, so that is the only one that is meaningful.
__
When t = 0 (at the time the ball is thrown), the function value is ...
h(0) = (1 -0)(8 +0) = 8
The ball is thrown from a height of 8 feet.
add my sc tregan_fought
For her phone service, Charmaine pays a monthly fee of , and she pays an additional per minute of use. The least she has been charged in a month is . What are the possible numbers of minutes she has used her phone in a month
Charmaine pays a monthly fee of a dollars for her phone service, and she pays an additional b cents per minute of use. The least she has been charged in a month is c dollars.
Solution:The least amount of charges that Charmaine paid in a month is c dollars. It is given that the monthly fee of Charmaine's phone service is a dollars. So, the amount charged per minute is given as (c - a) cents.
So, the least number of minutes she has used her phone in a month is c - a b cents. We can write this as an inequality as below: \(b(c - a) ≤ 100c\),
where 100c is the least amount of charges in dollars she paid in a month.
This can be simplified as:\(bc - ab ≤ 100c\) --(1)
Solving for c, we get: c ≤ (100 × b)/(100 - b × a) --(2)
From this, it is clear that c is positive if b × a < 100.
Therefore, we can say that the possible numbers of minutes Charmaine has used her phone in a month is c minutes such that: c ≤ (100 × b)/(100 - b × a),
if b × a < 100.
Since c represents the least amount of charges paid in a month, it must be a non-negative number.
Therefore, we can say that the possible numbers of minutes Charmaine has used her phone in a month is c minutes such that: c = ⌈(100 × b)/(100 - b × a)⌉, if b × a < 100.
Here, ⌈x⌉ represents the smallest integer that is greater than or equal to x. Therefore, the possible numbers of minutes she has used her phone in a month are: c = ⌈(100 × b)/(100 - b × a)⌉ if b × a < 100.
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Juan paga $20.00 pesos por 4 m³ de agua. Si consumió 10 m³ en un día, elige la opción comedia
determina el monto a pagar.
A) 50
B) 60
C) 40
D)55
Answer:
A) 50
Step-by-step explanation:
1. Calculate the cost of one cubic meter
\(20/4 = 5\)
2. Determine the amount
(10)(5) = $50
Hope this helps
Find the missing side lengths. Leave your answer as radicals in simplest form.
The values of the sides are;
41. x = 18√3. Option D
42. x = 6√3. Option A
How to determine the valuesUsing the different trigonometric identities, we have;
41. Using the tangent identity, we have;
tan 60 = 9√2/y
cross multiply the values
y =9√2 ×√3
y = 9√6
Using the sine identity;
sin 45 = y/x
1/√2 = 9√6/x
cross multiply the values, we have;
x = 9√2 ×√3 ×√2
x = 18√3
42. Using the cosine identity
cos 60 = 3√3 /x
cross multiply, we have;
x = 6√3
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EASY PROOFS PLEASE HELP !!
Please answer questions 7 and 8 i will provide as many points possible ! Easy! Complete the proofs using the most
7. Given: ZBAC ZEDC, BC = EC
Prove: AABC = ADEC
The completed table that proves the congruence of the triangles are presented as follows;
Statement \({}\) Reasons
1. ∠BAC ≅ ∠EDC \({}\) 1. Given
\(\overline{BC}\) ≅ \(\overline{EC}\) \({}\)
2. ∠ACB ≅ ∠DCE \({}\) 2. Vertical angles theorem
3. ∠ABC ≅ ∠DEC \({}\) \({}\) \({}\) 3. Angle sum property of triangle
4. ΔABC ≅ ΔDEC \({}\) 4. ASA congruence rule
8. Statement \({}\) Reasons
1. \(\overline{JK}\) ≅ \(\overline{LM}\) 1. Given
2. ∠JKM ≅ ∠LMK \({}\) 2. Given
3. \(\overline{MK}\) ≅ \(\overline{KM}\) \({}\) 3. Reflexive property
4. ΔJMK ≅ ΔLKM \({}\) 4. SAS congruence rule
What are congruent triangles?Triangles are congruent if they have the same size and shape.
The details of the reasons used to prove the congruence of the triangles are as follows;
Vertical angles theorem;
The vertical angles theorem states that the vertically opposite angles formed by two intersecting straight lines are always congruent.
Angle sum property of a triangle
The angle sum property of a triangle states that the sum of angles in a triangle is 180°.
Therefore, if two angles are known in a triangle, the third angle can be calculated as the difference between 180° and the sum of the two known angles.
ASA congruence rule
The ASA (which is an acronym for Angle-Side-Angle) congruence rule states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Reflexive property of congruence
The reflexive property states that a segment is congruent to itself
SAS congruence rule
The SAS (Side-Angle-Side) congruence rule states that if two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent.
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At the performance of Seussical the Musical at your local high school, there are adult tickets and
student/child tickets. You're trying to remember the cost of each to tell your extended family to come see the
musical. Your friend, her mom, and her little sister paid a total of $23 on opening night, and you know that
another family paid $39 for two adults and three students. If 2 is cost of adult tickets and y is cost of student tickets, the two equations for these situations can be written as:
Answer:
The correct answer is -
x+2y = 23
2x+3y= 39
Step-by-step explanation:
given:
cost of family 1 = 23
number of adults in family one = 1
number of children = 2
cost of family 2 = 39
number of adults in family 1 = 2
number of children = 3
solution:
for the first condition of family one-
In this case, there is only one adult and 2 children and they paid 23 then if the adult cost is x and the children ticket cost is y then
number of adults*x+number of children*y = total cost
1*x + 2*y = 23
x+2y= 23 .......equation 1.
for family two:
In this case, there is two adult and 3 children and they paid 39 then if the adult cost is x and the children ticket cost is y then
number of adults*x+number of children*y = total cost
2*x + 3*y = 39
= 2x+3y = 39....... equation 2
thus, the correct equations are:
x+2y = 23
2x+3y= 39
I don’t understand it help and add a explanation for me pls :}
In a simple random sample of 51 community college statistics students, the mean number of credits completed was 50.2 with standard deviation of 8.3. construct a 95% confidence interval for the mean number of college credits completed
The 95% confidence interval for the mean number of college credits completed is approximately 48.029 to 52.371.
To construct a 95% confidence interval for the mean number of college credits completed, we can use the formula:
CI = x ± z * (σ/√n)
Where:
CI represents the confidence interval
x is the sample mean (50.2 credits)
z is the z-score corresponding to the desired confidence level (95% confidence level corresponds to a z-score of approximately 1.96)
σ is the population standard deviation (8.3 credits)
n is the sample size (51 students)
Let's calculate the confidence interval:
CI = 50.2 ± 1.96 * (8.3/√51)
Using a calculator or software, we can find the standard error (σ/√n):
SE = 8.3/√51 ≈ 1.164
Now substitute the values into the formula:
CI = 50.2 ± 1.96 * 1.164
Calculating the upper and lower bounds of the confidence interval:
CI = (50.2 - 1.96 * 1.164, 50.2 + 1.96 * 1.164)
Simplifying the expression:
CI ≈ (48.029, 52.371)
Therefore, the 95% confidence interval for the mean number of college credits completed is approximately 48.029 to 52.371.
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Which expressions are equivalent to x+x+x + 2x+x+x+2x, plus, x, plus, x, plus, 2 ?
Answer:
A and D should be correct
Step-by-step explanation:
Sally goes out for breakfast once per week and gets the same thing each time, for a total of $4.52 per trip. She has already spent $31.64 this year on her breakfast. What is the first term of the sequence? To get to the next term, you would. This means that the common difference is There are 20 weeks left in this school year for Sally. If she continues getting breakfast at this rate how much money will she have spent on breakfast by the end of the year?
The requried first term of the sequence is $6.32.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
Here,
The amount of money Sally spends on breakfast each week forms an arithmetic sequence.
Let's use the formula for the sum of an arithmetic sequence to find the first term of the sequence. We know that Sally has already spent $31.64, which means that she has made 31.64/4.52 = 7 visits to the breakfast place. So the sum of the first 7 terms of the sequence is:
S₇ = 7/2 * (a₁ + a₇)
We know that a₇ = $4.52, so we can plug this into the formula and simplify
S₇ = 7/2 * (a₁ + 4.52)
a₁ = $6.32
Similarly, all the outcomes can be evaluated,
By the end of the year, Sally will have spent $891.36 on breakfast.
Therefore, the first term of the sequence is $6.32.
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The expression -5p + 20 factored is
factor out the coefficient of the variable
Answer: -5(p-4)
Step-by-step explanation: The coefficient of a variable is the number multiplying it. To factor it, take the coefficient out and put it outside the parantheses. However, if you do that, make sure you take that coefficient out of all of your other terms!
(d) In 7 years Bernard will be twice as old as he was 8 years ago. How old is Bernard now?
The present age of the Bernard is, 23.
What is age?
Given a date of birth, this free age calculator calculates age in terms of years, months, weeks, days, hours, minutes, and seconds.
Calculated using the population's arithmetic mean, average age. The median age is a factor that determines the population's average age.
As given, in 7 years Bernard will be twice as old as he was 8 years ago.
Let the present age of Bernard = x
Bernard age after 7 years = x + 7.
Bernard age before 8 years = x - 8.
From the given information,
2(x - 8) = x + 7
2x - 16 = x + 7
2x - x = 16 + 7
x = 23
Therefore, the present age of Bernard is 23.
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How do I solve this problem? Thank you.
Which equation is a step in solving the equation 5 - 3x + 2 = 19?
A.
15 - 3x1 = -17
B.
15 + 3x1 = 17
c.
5 + 3x = -17
D.
5 - 3x = -17
Answer:
D. 5-3x = 17
Step-by-step explanation:
The step carried out was subtracting 2 from both sides.
\(5 - 3x + 2 = 19 \\ 5 - 3x + 2 - 2 = 19 - 2 \\ 5 - 3x = 17\)
An angle measures 3° more than two times its complement x please explain
Solution:
Given that;
An angle measures 3° more than two times its complement x.
Let the larger angle be y
\(x+y=90\degree\)The angle measures 3° more than two times its complement, i.e.
\(y=(2x+3)\degree\)Then,
\(\begin{gathered} x+y=90\degree \\ x+(2x+3)\degree=90\degree \\ x\degree+2x\degree+3\degree=90\degree \\ 3x\degree=90\degree-3\degree \\ 3x=87\degree \\ x=\frac{87\degree}{3} \\ x=29\degree \end{gathered}\)The smaller angle, x is 29 degrees
The larger angle is
\(y=2x+3=2(29)+3=58+3=61\degree\)The larger angle, y is 61 degrees
The total is
\(x+y=29+61=90\degree\)The total is 90 degrees.
53=y−47.4 pls help sssssssssss
Answer:
5.6
Step-by-step explanation:
y = 53- 47.4=?
4 1/3 divided by 4/7 (answer using fraction)
Answer:
Step-by-step explanation:
Use KCF method
Keep the first fraction
Change division to multiplication
Flip the second fraction.
\(4\frac{1}{3}\) ÷ \(\dfrac{4}{7}\)
\(=\dfrac{13}{3}*\dfrac{7}{4}\\\\\\=\dfrac{91}{12}\\\\\\= 7\dfrac{7}{12}\)
2. Find the volume. Show work, and round to 2 decimal places
*triangle based prism*
answer
as we all know volume is equal to length times width times height therefore to get you answer you have to multiply all the three giving measurements the answer that you get you are supposed to round it to the nearest to decimal places when you say around it off to the nearest two decimal places it means that they need to be too this two numbers after the coma
Mo played 30 games of chess. He won 18 of these games. (b) He played 20 more games. He had then won 64% of all of his games. How many of the 20 games did he win?
Answer:
14
Step-by-step explanation:
First of all he played a total of 50 games which he won 32 of due to 64% of 50 being 32 then you subtract the 18 games he won at the start to get 32-18=14
would be amazing if you marked this as brainliest
Answer:
Total no of games played =50
percentage of the win game=64%
total no of won games =64/100×50
=32
no of games he won of the 20 =32-18
=14
so he won 14 games from 20
hope it helps
static reports differ from dynamic reports in that __________.
"Static-Reports" differ from "dynamic-reports" in that static-reports are fixed.
The "Static-Reports" differ from dynamic reports in that static reports are fixed and do not change once generated, while dynamic reports are capable of updating and adapting in real-time or based on user interactions.
Static reports are pre-generated and provide a snapshot of information at the time of creation. They are static in nature and do not reflect any changes which may occur after their generation. Static reports are commonly in formats like PDF or printed documents.
The dynamic reports are designed to be interactive and responsive. They can be connected to live databases, which allows for real-time updates and dynamic visualizations.
Dynamic reports can be customized, filtered, and adjusted by users to explore data from different angles.
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The main difference between static and dynamic reports is that static reports are fixed documents that do not change or update automatically, while dynamic reports can update and change in real-time.
In the field of business, reports play a crucial role in presenting and analyzing data. Two types of reports commonly used are static reports and dynamic reports. The main difference between static and dynamic reports lies in their nature and functionality.
Static reports are fixed documents that present information at a specific point in time. They do not change or update automatically. These reports are typically created using tools like Microsoft Word or Excel. Static reports are often used for presenting historical data or summarizing information. For example, a static report may be used to present sales figures for a specific quarter or to summarize the financial performance of a company for a particular year.
Dynamic reports, on the other hand, are capable of updating and changing in real-time. They are usually generated using specialized software or programming languages. Dynamic reports can pull data from various sources and provide up-to-date information. These reports are commonly used for monitoring and analyzing real-time data. For instance, a dynamic report may be used to track website traffic in real-time or to monitor stock prices as they fluctuate throughout the day.
In summary, static reports are fixed documents that do not change or update automatically, while dynamic reports can update and change in real-time.
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