The design described is known as a quasi-experimental design.
In a true experimental design, subjects are randomly assigned to either the experimental or control group, and the experimental stimulus is administered to the experimental group while the control group does not receive the stimulus. This allows researchers to establish cause-and-effect relationships between the independent and dependent variables.
However, in a quasi-experimental design, the researcher does not randomly assign subjects to groups. Instead, the experimental stimulus is administered to the experimental group, and then the dependent variable is measured in both the experimental and control groups.
Because the groups are not randomly assigned, it is more difficult to establish cause-and-effect relationships between the independent and dependent variables.
Quasi-experimental designs are often used when random assignment is not feasible or ethical, such as in studies of naturally occurring groups or in studies where subjects have already been exposed to a stimulus.
While these designs may not provide the same level of control as true experimental designs, they can still provide valuable insights into the relationships between variables.
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please solve this QUICKLY!!!!!!!!! (my life depends on it)
convex quadrilateral has and . diagonals and intersect at , , and triangles and have equal areas. what is ?
Triangle AED and triangle BEC have equal areas. The length of AE can be represented as 14 - x (since AC = 14). AE is equal to 10.
To find the length of AE, we can use the fact that triangle AED and triangle BEC have equal areas. Since the areas of two triangles with the same height are proportional to their base lengths, we can set up the following proportion:
Area of triangle AED / Area of triangle BEC = AE / EC
Let's denote EC as x (the length of EC). Then, the length of AE can be represented as 14 - x (since AC = 14).
Now, let's look at the given information about the lengths of the sides of the quadrilateral:
AB = 9
CD = 12
AC = 14
We can use the given information to find the lengths of the other sides of the quadrilateral:
BC = AC - AB = 14 - 9 = 5
AD = AC - CD = 14 - 12 = 2
Next, we can calculate the areas of triangle AED and triangle BEC using the lengths of their sides:
Area of triangle AED = (1/2) * AD * AE
Area of triangle BEC = (1/2) * BC * EC
Since the areas of the two triangles are equal, we can set up the following equation:
(1/2) * AD * AE = (1/2) * BC * EC
Plugging in the values we know:
(1/2) * 2 * (14 - x) = (1/2) * 5 * x
Simplifying the equation:
14 - x = (5/2) * x
Multiplying both sides by 2 to clear the fraction:
28 - 2x = 5x
Adding 2x to both sides:
28 = 7x
Dividing both sides by 7:
x = 4
Therefore, the length of EC is 4.
Since AE = AC - EC, we can calculate AE:
AE = 14 - EC = 14 - 4 = 10
So, AE is equal to 10.
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The complete question is:<Convex quadrilateral ABCD has AB = 9 and CD = 12. Diagonals AC and BD intersect at E, AC = 14 and triangle AED and triangle BEC have equal areas. What is AE?>
A new car is purchased for 18000 dollars. The value of the car depreciates at 13. 5% per year. What will the value of the car be, to the nearest cent, after 14 years?.
The value of the car, after 14 years with a depreciation rate of 13.5% per year, will be approximately $2,010.70.
To calculate the value of the car after 14 years, we need to apply the depreciation rate of 13.5% per year to the original value of $18,000.
First, we need to determine the annual depreciation amount. The annual depreciation is calculated by multiplying the original value by the depreciation rate. In this case, the annual depreciation amount is 13.5% of $18,000, which is $2,430.
Next, we need to calculate the value of the car after each year of depreciation. We subtract the annual depreciation amount from the previous year's value. After 14 years, the value of the car will be:
$18,000 - ($2,430 x 14) = $18,000 - $34,020 = $-16,020
However, a negative value does not make sense in this context. So, we can assume that the car's value has depreciated to zero after 14 years, meaning it has no value remaining.
Therefore, the value of the car, to the nearest cent, after 14 years will be approximately $2,010.70.
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Mid point of -2,11 and 18,-1
The midpoint of (-2, 11) and (18, -1) is:
\(\begin{gathered} \bar{x}=\frac{-2+18}{2}\rightarrow\bar{x}=8 \\ \\ \bar{y}=\frac{11-1}{2}\rightarrow\bar{y}=5 \end{gathered}\)Point (8,5)
Need help pls will give you a good rating.
Answer:
x+4
.....................
Answer
\( \boxed{x + 4}\)
Option C is the correct option
Step by step explanation
Let's find the expression which represents the length of the box:
\( \mathsf{length \times width \times height \: of \: prism \: = \: volume \: of \: prism}\)
\( \mathsf{lengh \times \: (x - 1) \times (x + 8) = {x}^{3} + 11 {x}^{2} + 20x - 32}\)
\( \mathsf{length = \frac{ {x}^{3} + 11 {x}^{2} + 20x - 32 }{(x - 1)(x + 8)} }\)
Write 11x² as a sum
\( \mathsf{ = \frac{ {x}^{3} - {x}^{2} + 12 {x}^{2} + 20x - 32 }{(x - 1)(x + 8)} }\)
Write 20x as a sum
\( \mathsf{ = \frac{ {x}^{3} - {x}^{2} + 12 {x}^{2} - 12x + 32x - 32 }{(x - 1)(x + 8)}}\)
Factor out x² from the expression
\( \mathsf{ = \frac{ {x}^{2}(x - 1) + 12 {x}^{2} - 12x + 32x - 32 }{(x - 1)(x + 8)} }\)
Factor out 12 from the expression
\( \mathsf{ = \frac{ {x}^{2}(x - 1) + 12x(x - 1) + 32x - 32 }{(x - 1)(x + 8)} }\)
Factor out 32 from the expression
\( \mathsf{ = \frac{ {x}^{2}(x - 1) + 12x(x - 1) + 32(x - 1) }{(x - 1)(x + 8)} }\)
Factor out x+1 from the expression
\( \mathsf{ = \frac{(x - 1)( {x}^{2} + 12x + 32) }{(x - 1)(x + 8)} } \)
Factor out 12x as a sum
\( \mathsf{ = \frac{(x - 1)( {x}^{2} + 8x + 4x + 32) }{(x - 1)(x + 8)} }\)
Reduce the fraction with x-1
\( \mathsf{ = \frac{ {x}^{2} + 8x + 4x + 32 }{(x + 8)} }\)
Factor out x from the expression
\( \mathsf{ = \frac{x(x + 8) + 4x + 32}{(x + 8)} }\)
Factor out 4 from the expression
\( \mathsf{ = \frac{x(x + 8) + 4(x + 8)}{x + 8} }\)
Factor out x+8 from the expression
\( \mathsf{ = \frac{(x + 8)(x + 4)}{x + 8} } \)
Reduce the fraction with x+8
\( \mathsf{ = x + 4}\)
hence, x+4 is the expression that represents the length of a box.
Hope I helped!
Best regards!
Q10. Farmer John's apples were eaten by wasps, others were rotten and the rest were quality apples in the ratio 4: 10: 20 respectively. 20 apples had been eaten by wasps. a) How many rotten apples were there?
If wasps had eaten 20 apples then, 50 rotten apples were there and the rest of the apples were quality apples in the ratio of 4: 10: 20 respectively.
This is a problem from simple mathematical equations. We can solve this problem by following a few steps.
Let's consider x as the highest common factor of apples eaten by wasps, rotten and quality apples.
So, the number of apples eaten by wasps is, 4 × x = 4x
The number of rotten apples is, 10 × x = 10x
The number of quality apples is, 20 × x = 20x
As, we all know HCF of the numbers × ratio of numbers = The numbers
So, 4x = 20 as per the question.
Therefore, x = 5.
Now, we can write that the HCF is 5.
So, the number of rotten apples ≡ HCF × 10 = 5× 10 = 50.
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Why does the test for homogeneity follow the same procedures as the test for independence?
Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.
The procedures for the chi-square test of homogeneity are the same as for the chi-square test of independence. The data is different for both tests. Tests of independence are used to determine whether there is a significant relationship between two categorical variables from the same population. One population is segmented based on the value of two variables. So there will be a column variable and a row variable.
The chi-square test of homogeneity of proportions can be used to compare population proportions from two or more independent samples, determining whether the frequency counts are distributed identically among different populations.
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Can someone check my work?
Answer:
you're correct! :)
Step-by-step explanation:
Yes it is correct dear.
Now you can make it on a graph by the solutions of the equation.
For the value of x,
\(9x + 3y = 15 \\ = > 9x = 15 - 3y \\ = > x = \frac{15 - 3y}{9} \\ = > x = \frac{3(5 - y)}{9} \\ = > x = \frac{5 - y}{3} \)
And for value of y,
\(9x + 3y = 15 \\ = > 3y = 15 - 9x \\ = > y = \frac{15 - 9x}{3} \\ = > y = \frac{3(5 - 3x)}{3} \\ = > y = 5 - 3x \: \: \: or \: \: \: \\ y = - 3x + 5\)
Can you find a number that when divided by 2, has a remainder of 1. When divided by 3 has a remainder of 2. When divided by 4 has a remainder of 3. When divided by 5 has a remainder of 4. When divided by 6 has a remainder of 5.
Answer:
hallar ''EF , si MN =24cm preguntas para responder: a)30. 2 , b)15. 2 , c)15 . d)
What is a definition of Domain of a function in math?
Solve for h. -18 + h = 28
h=10
Answer:
h = 46
Step-by-step explanation:
Have unknowns (h) on one side and knowns on other side.
-18 + h = 28 Add 18 on both side to move it to the right side.
h = 28 + 18
h = 46
Answer:
\(\boxed{\sf{h=46}}\)Step-by-step explanation:
Isolate the term of h from one side of the equation.
-18+h=28First, switch sides.
⇒ h-18=28
Add by 18 from both sides.
⇒ h-18+18=28+18
Solve.
Add the numbers from left to right.
⇒ 28+18=46
⇒ h=46
Therefore, the correct answer is h=46.I hope this helps! Let me know if you have any questions.
Which expression represents the sentence "five times a number, n"?
Answer:
5n
Step-by-step explanation:
:)
Answer:5n
Step-by-step explanation:
please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
\(\sqrt{25} is an irrational
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.I need help ASAP for grade
Answer:
y=2x+3
Step-by-step explanation:
What do I do to solve this?
Answer: y=mx+c
m is the gradient, and c is the y-intercept.
lmk if u want me to try to solve it::} (try)
Step-by-step explanation:
This bar chart shows the results of a survey about how many portions of
vegetables a group of people ate yesterday.
Work out the median number of portions of vegetables that the people
surveyed ate yesterday.
Frequency
HH2O64
16
14
12
10
2
20
0
Number of portions of vegetables
1
2
3
Portions
4
5
Answer:
Median is 5.
Step-by-step explanation:
Step 1: Arrange the data;
2, 2, 5, 7, 14
Formula:
\(\frac{n+1}{2}\)
\(\frac{5+1}{2} \\\frac{6}{2} \\3rd value\)
Median=5
Wire the equation and then solve the equation. Can someone explain the two on the bottom row please
Answer:
Step-by-step explanation:
a. x=11 1/3
b. x=4
c. x=2
d. x=7
The mean weight of a breed of yearling cattle is 1198 pounds. Suppose that weights of all such animals can be described by the Normal model N(1198,65).
a) How many standard deviations from the mean would a steer weighing 1000 pounds be?
b) Which would be more unusual, a steer weighing 1000 pounds, or one weighing 1250 pounds?
a. Steer weighing 1000 pounds would be 3.0462 standard deviations from the mean.
b. Steer weighing 1000 pounds would be more unusual.
Given that the mean weight of a breed of yearling cattle is 1198 pounds and the weights of all such animals can be described by the Normal model N(1198,65).
a) How many standard deviations from the mean would a steer weighing 1000 pounds be?
Z-score can be calculated by using the formula,Z = (X - μ)/ σ
Where,X = 1000μ = 1198σ = 65
Substitute the given values,Z = (1000 - 1198)/65Z = -3.0462
Therefore, a steer weighing 1000 pounds would be 3.0462 standard deviations from the mean.
b) Which would be more unusual, a steer weighing 1000 pounds, or one weighing 1250 pounds?
To determine which would be more unusual, a steer weighing 1000 pounds, or one weighing 1250 pounds, we need to compare their respective Z-scores.
We already know the Z-score for a steer weighing 1000 pounds, which is -3.0462.
Now, let's find the Z-score for a steer weighing 1250 pounds,Z = (X - μ)/ σ
Where,X = 1250μ = 1198σ = 65
Substitute the given values,Z = (1250 - 1198)/65Z = 0.8
Therefore, a steer weighing 1250 pounds would be 0.8 standard deviations from the mean.
Comparing the two Z-scores, we can see that a steer weighing 1000 pounds is further from the mean (in the negative direction) than a steer weighing 1250 pounds is from the mean (in the positive direction).
Therefore, a steer weighing 1000 pounds would be more unusual.
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Suppose that there are two types of tickets to a show: advance and same day. Advance tickets cost $40 and same day tickets cost $35. For one performance, there were 45 tickets sold in all, and a total amount paid for them was $1700. How many tickets of each type were sold?
Answer:
25 advance
20 same day
Step-by-step explanation:
1700=40x+35y
*40 45=x+y
1700=40x+35y
- 1800=40x+40y
-100= -5y
y=20 tickets
45-20=25
25*40 + 35*20= 1700
1000. + 700 = 1700
write an equation of a line parallel to x=3
Answer: y = 4
Step-by-step explanation:
The equation y = 3 represents a vertical line. Thus, any equation in which y = m = 0 would be parallel to this line. Pick a random b-value and plug it into the equation with a slope of 0 and you should have a parallel line equation.
solve for w and simplify the answer
Answer: w=20/3
Step-by-step explanation: start by multiplying -3/2 by 2 and multiply -10 by 2 as well. you would get -3w = -20. divide both sides by -3 and you’ll get 20/3.
(7x²+2x-1)-(2x²-5x+3)
Answer:
5x²+7x-4
Step-by-step explanation:
Given: (7x²+2x-1)-(2x²-5x+3)
Distribute: 7x²+2x-1-2x²+5x-3
Rearrange: 7x²-2x²+5x+2x-3-1
Combine like terms: 5x²+7x-4
Your final answer is thus 5x²+7x-4
What are the domain and range of this exponential function?y=2x–9
The value of both domain and range of this exponential function is (−∞,∞).
y = 2x-9
The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).
The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).
Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).
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The product of two rational numbers is -28/81. If one of them is -2/3, then find the other.
PLEASE HELP....NEED TO SUBMIT IT NOW......
Answer:
14/27
Step-by-step explanation:
Let x be the unknown number
-2/3 * x = -28/81
Multiply each side by -3/2
-3/2*-2/3 * x = -28/81 * -3/2
x = 28/2 * 3/81
x =14*1/27
x = 14/27
Answer:
14/27
Step-by-step explanation:
Let x be the other number
x × -2/3 = -28/81
x = -28/81 × -3/2
x = 14/27
Laura made a scale drawing of the auditorium. The stage is 13 inches long in the drawing. The actual stage is 52 feet long. What is the scale of the drawing?
Answer:
1:4
Step-by-step explanation:
the scale drawing means that the original image was reduced by a certain proportion
scale = actual size / size of scale drawing
52 / 13 = 4
the original size is 4 times the size of the scale drawing
The price of a liter of petrol was aed 2. 86 yesterday. Today, the price is aed 2. 79. What is the percentage decrease? round your answer the nearest hundredth.
Answer:
2.45%
Step-by-step explanation:
(2.86 - 2.79) / 2.86 = 0.0245
0.0245 x 100 = 2.45%
Robert pays for his family to go to the arcade he pays an interest fee for his food and additional amount per game that his family plays as shown in the graph use the graph to answer 5-7
Answer:
5) ¾, The slope is ¾ since the cost increases by 3 dollars for every 4 games Robert and his family play.
6) 12, The y-intercept is 12 since Robert had to pay an entrance fee of 12 dollars in order to enter the arcade.
7) y=¾x+12
Liz dives 10 feet below the surface of the water. Then she returns to the surface. Use the drop-down menus to write an expression that represents her overall change in depth.
Explanation
let the surface of the water
Factor the trinomial below.
x2 - 14x + 45
O A. (x-3)(x + 15)
O B. (x - 5)(x-9)
O C. (x-3)(x-15)
O D. (x - 5)(x + 9)
Answer:
The choice B. (x - 5)(x-9)